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Sharp EL-9900C User Manual

Graphing calculator
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See also: Operating Manual
Sharp EL-9900
Graphing Calculator
Basic Keyboard Activities
General Mathematics
Algebra
Programming
Advanced Keyboard Activities
Algebra
Calculus
Statistics
Trigonometry
Programming
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Summary of Contents for Sharp EL-9900C

  • Page 1 Sharp EL-9900 Graphing Calculator Basic Keyboard Activities General Mathematics Algebra Programming Advanced Keyboard Activities Algebra Calculus Statistics Trigonometry Programming...
  • Page 2 Sharp EL-9900 Graphing Calculator Basic Keypad EL-9900 T B L S E T D R AW SPLIT S U B TABLE WINDOW GRAPH O P T I O N L I S T C L I P + – STAT SLIDE –...

  • Page 3: Basic Arithmetic

    Convert to a mixed number by pressing ➞a b /c STEP 6: Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER . . Then, convert to a decimal.
  • Page 4 Calculate by pressing the ENTER key. The answer is 27.5. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (3 + 4). a /b 2 to move the blinking cursor to highlight the 3.
  • Page 5 Enter 500 by pressing 5 STEP 4: Calculate by percentage by pressing 2ndF The answer is 30%. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2ndF ENTER . ENTER .
  • Page 6 Subtract by pressing the – key. STEP 3: Enter 40% by pressing 4 The answer is 120. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2ndF ENTER . 2ndF ENTER .

  • Page 7: Memory Usage

    STEP 1: With the display screen cleared, recall the previous answer by pressing Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. × ALPHA ENTER . ×...

  • Page 8: Powers And Roots

    Enter 196 by pressing 1 STEP 3: Calculate by pressing the ENTER key. The answer is 14. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. key. key. √...
  • Page 9 Enter (3 ÷ 4) by pressing 3 STEP 3: Calculate by pressing the ENTER key. The answer is 5.6234. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. key. ÷...

  • Page 10: Trigonometric Functions

    The answer is 1.19. Remember that cotangent = 1/tangent, secant = 1/cosine, and cosecant = 1/sine. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. hypotenuse opposite side θ...
  • Page 11 Calculate by pressing the ENTER key. The answer is zero. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + – to access the calculation screen. ×...

  • Page 12: Angle Conversions

    STEP 2: Calculate decimal degrees by pressing ENTER . The answer is 50.5833. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. MATH MATH Ε + –...
  • Page 13 STEP 2: Convert to degrees by pressing ENTER . The answer is 71.6°. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ENTER . + –...
  • Page 14 Enter the upper bound of 10 by pressing 1 STEP 4: Calculate the random person by pressing ENTER . Answers will vary. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. MATH...
  • Page 15 Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER to delete the old data. Repeat for other lists...
  • Page 16 View the histogram by pressing GRAPH . Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. A (PLOT1) and press ENTER . A PLOT1 setup screen ENTER . Set the list to L1 by pressing ▼...
  • Page 17 STEP 6: Turn PLOT1 off by pressing STAT PLOT 2ndF QUIT . Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2ndF ENTER to enter L1 as the data STAT PLOT E (BOX) 1 Box.
  • Page 18 STEP 5: Turn PLOT1 off by pressing STAT PLOT 2ndF QUIT . Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER to choose one-variable data. Press ▼ to highlight and mark the pieces ENTER ENTER .
  • Page 19 ∑xy. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER . Repeat for other lists. and the statistical...
  • Page 20 Ymin= 48.63, and Ymax= 52.03. Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. A 1 ENTER . Press 2ndF repeatedly to verify that Xmin= 1, Xmax= 7,...
  • Page 21 2ndF VARS H (STAT) ENTER B (REGEQN) 1 (RegEqn) GRAPH . Basic Keyboard/GENERAL MATHEMATICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER ▼ 2ndF LIST A 1 ENTER 2ndF + –...
  • Page 22 7. If the line does not appear in the default viewing window, press ZOOM 4 (OUT) to enlarge the viewing window. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. A (ZOOM)
  • Page 23 The graph y = - x has the opposite slope of y = x. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ▼ will result in the equation y = ▼...
  • Page 24 The graph y = x – 2 has shifted down from the graph of y = x . The y - intercept is now y = - 2. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. x to enter the equation. ▼...

  • Page 25: Parallel And Perpendicular Lines

    7. Graph two lines with unequal slopes (not negative reciprocals). What do you see? Are the lines parallel, perpendicular or neither? Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL ( - ) ENTER 7 to view the graphs.

  • Page 26: Quadratic Equations

    What does the addition of - 2 do? Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to remove an old Y2 expression. ) for Y1, press x , the resulting equation is y = x ▼...
  • Page 27 (TBLStep) from 1 to another value. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. - 2x + 3 for x=3, you will enter the function –...
  • Page 28 CL to return to and clear the calculation screen. Press 2ndF 3 Y3 ( VARS Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to return to and clear the calculation screen. 2ndF VARS...
  • Page 29 6. Change the Y3 composition to Y1 in Y2 by pressing Y= 2ndF VARS 7. Press ZOOM the decimal window. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. – ENTER . VARS (Y2) ENTER .
  • Page 30 ENTER to re-evaluate the formula for the new value. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to return to and clear the calculation screen. ALPHA ÷...

  • Page 31: Graphing Circles

    Draw the circle again in the larger window. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + (y–k) , you will use the circle + (y–2)
  • Page 32 6. Press ZOOM A (ZOOM) 3 (In) to zoom in. Press TRACE and move the tracer to approximate the root. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + x + 1, press (–)
  • Page 33 5. Press 5 (X_Incpt) to find the left-hand root. 6. Press 2ndF CALC Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. –3x + 1, press (–) 5 (X_Incpt) to find the next root. –...
  • Page 34 3(4 – 2x) – 5 + x ≥ 0 is all values of x such that x ≤ 1.4. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL and enter 3(4 – 2x) – 5 + X in the Y1 location.
  • Page 35 6. Turn off the shading by pressing 2ndF DRAW G (SHADE) 2 (INITIAL). Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2 (Intsct) to find where the graphs intersect.
  • Page 36 2 ≤ x ≤ 6. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2 (Intsct) to find the point of intersection of the lines 2 (Intsct) to find y = 2x – 5 and y = 7 at (6, 7).

  • Page 37: Solving A System Of Equations

    CALC to access the calculate feature again. Press 2 (Intsct). The right-hand intersection will appear on the screen. Basic Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. y = x – 1...

  • Page 38: Creating A New Program

    You must press ENTER after correcting a mistake for the correction to be saved for future use. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

  • Page 39: Executing A Program

    4. Once the program is working, you can execute the program from the Basic Keyboard. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. PRGM A (EXEC) and select the program...

  • Page 40: Prime Factorization

    Goto A Label C Print N Press 2ndF QUIT to exit the editor. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. PRGM ALPHA ALPHA ENTER PRGM ALPHA...
  • Page 41 Press CL to clear the screen. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ENTER to find the...
  • Page 42 If fpart (B÷D)π0 Goto B Print D Label B D+1⇒D If D≤min(A,B) Goto A Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. PRGM ALPHA PRGM ALPHA ALPHA ENTER PRGM...
  • Page 43 You can repeat this program for other numbers by pressing ENTER execute the program over and over again. Press CL to clear the screen. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ENTER...
  • Page 44 If P
  • Page 45 F+S⇒Q Print “REMAINDER Print Q Press 2ndF QUIT to exit the editor. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) PRGM PRGM 2ndF A-LOCK SPACE X/θ/T/n...
  • Page 46 You can repeat this program for other numbers by pressing ENTER execute the program over and over again. Press CL to clear the screen. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ENTER ENTER ENTER .
  • Page 47 If X>1 Goto B If Y<0 Goto B Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER at the end of each line. If you make a...
  • Page 48 If your walk is short, then press have a long walk, press than 10. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) PRGM ALPHA PRGM...
  • Page 49 × 6)+1 K+1⇒K If K
  • Page 50 You should see a screen similar to the following (the values for the dice should be different). Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
  • Page 51 Label B K+1⇒K If K≤(J–1) Goto A J+1⇒J 1⇒K If J≤N Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. PRGM ALPHA ALPHA ALPHA PRGM ALPHA PRGM 2ndF...
  • Page 52 Pythagorean triple. Press ENTER to view additional triples. You should see screens similar to the following ones. Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ALPHA...
  • Page 53 Sharp EL-9900 Graphing Calculator Advanced Keypad EL-9900 T B L S E T D R AW SPLIT S U B TABLE WINDOW GRAPH O P T I O N L I S T C L I P + – STAT SLIDE –...
  • Page 54 5. Summarize the effect of k within the standard equation y = a(x – h) Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to remove an old Y2 expression.
  • Page 55 SOLVER C (SAVE) ENTER and entering the formula name. Give the formula the name AMORT by pressing A Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. SOLVER to access the solver –N 1 –...
  • Page 56 C (SAVE) pressing ENTER , and entering the formula name. Give the formula the name VCYL by pressing V Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. h by pressing ALPHA ALPHA ENTER .
  • Page 57 C (SAVE) ENTER and entering the formula name. Give the formula the name "ATRAP," by pressing A Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ALPHA ▼...
  • Page 58 ZOOM A (ZOOM) 3 (In) to zoom in. Press TRACE and move the tracer to approximate the root. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. – 3x + x + 1, press X/θ/T/n a X/θ/T/n +...
  • Page 59 7. Press 2ndF CALC 8. Press 2ndF CALC Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. –5x –3x + 1, press X/θ/T/n – X/θ/T/n 5 (X_Incpt) to find the next root.
  • Page 60 CALC to access the calculate feature again. Press 2 (Intsct). The right-hand intersection will appear on the screen. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. y = x – 1 y = 2x –...
  • Page 61 4. Press 2ndF EXE to solve the system. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 5x + y = 1 - 3x + y = - 5 (–)
  • Page 62 8. To multiply the matrices A and B together, press 2ndF MATRIX A (NAME) × 2ndF 1 (mat A) Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 1 2 1 2 1 -1 1 1 -2 ENTER...
  • Page 63 2ndF The solution matrix will appear. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER . Press x + 2y + z = 8 2x + y – z = 1 x + y –...
  • Page 64 3(4 – 2x) – 5 + x ≥ 0 is all values of x such that x ≤ 1.4. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL and enter 3(4 – 2x) – 5 + X in the Y1 location.
  • Page 65 6. Turn off the shading by pressing 2ndF DRAW G (SHADE) 2 (INITIAL). Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2 (Intsct) to find where the graphs intersect.
  • Page 66 2 ≤ x ≤ 6. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2 (Intsct) to find the point of intersection of the lines 2 (Intsct) to find y = 2x – 5 and y = 7 at (6, 7).
  • Page 67 6. Turn off the shading by pressing 2ndF DRAW G (SHADE) 2 (INITIAL). Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. in Y2. G (SHADE) 1 (Set) 2ndF VARS A...

  • Page 68: Absolute Value

    MATH B (NUM) 1 (abs) and pressing X/θ/T/n . Press ZOOM A (ZOOM) 5 (Default) to draw the graph. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + – to access the home or computation ×...
  • Page 69 6. The solution to the equation |5 – 4x| = 6 consists of the two values - 0.25 and 2.75. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to clear the Y1 prompt. B (NUM) 1 (abs) 6 to enter 6 in Y2.
  • Page 70 - 3.33 < x < 10. Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. < 8 , rewrite the inequality so that the right-hand side 20 –...
  • Page 71 6. Turn off the shading by pressing 2ndF DRAW G (SHADE) 2 (INITIAL). Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to clear additional prompts. X/θ/T/n ENTER .

  • Page 72: Rational Functions

    6. Observe that the line y = 0 is very likely a horizontal asymptote of f(x). Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (x – 1) by first pressing Y= –...
  • Page 73 6. Turn off the shading by pressing 2ndF DRAW G (SHADE) 2 (INITIAL). Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ≤ 2 using the intersection method with shading, (1 –...
  • Page 74 5. Change the calculator back to rectangular mode by pressing 2ndF SET UP E (COORD) 1 (Rect). Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. – 2 by first rewriting as y = ± (x + 2). √...
  • Page 75 4. Adjust the screen to see the bottom part of the circle by pressing ZOOM A (ZOOM) 4 (OUT). Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) = 4, solve for y in terms of x . The result is X/θ/T/n...
  • Page 76 5. It also appears that the line y = 0 is a horizontal asymptote and the line x = 1 is a vertical asymptote for this function. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (2x + 2) . Press Y= CL to access and clear the –...
  • Page 77 = f(x) gets closer and closer to - 1 from above This provides evidence that lim f(x) = - 1. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) - 100...
  • Page 78 7. Be sure to turn off the derivative trace. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. using the derivative function. Press ) to input: d/dx (X FORMAT C (Y') and QUIT to exit the FORMAT menu.
  • Page 79 "TANGENT LINE= PRGM Print X/θ/T/n "Y=MX+B Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. X/θ/T/n ENTER 5 2ndF VARS A ENTER A 1 , ALPHA ENTER ENTER X/θ/T/n...
  • Page 80 ENTER . Press 2ndF QUIT and try executing the program again. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) PRGM 2 ALPHA...
  • Page 81 ), move the tracer right to x =1 by pressing and then press ENTER . Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. – x + 1 for Y1 by pressing Y= –...
  • Page 82 = - ∞ to - 2.4427 and from 4.776 to ∞ while f(x) is decreasing for x between - 2.4427 and 4.776. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. – 7x – 70x + 75. Press Y= –...
  • Page 83 8. Find the point of inflection directly by moving the cursor to the original function and pressing 2ndF Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER entering f(x)= 2x (Y1) for Y2. Enter Y2 by pressing MATH A (CALC) ENTER A (XY) 1 (Y1) and press ) CALC 7 (Inflec).
  • Page 84 = - 2.4427 x = 1.16567 x = 4.776 Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ENTER ENTER A (XY) 2 (Y2) and press ) ▼...
  • Page 85 4 (Maximum) to find a maximum sales at x = 3.87 days with a 68% proportion. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. X/θ/T/n CALC and...
  • Page 86 8. Turn off the shading by pressing 2ndF DRAW G (SHADE) 2 (INITIAL). Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ∫ 2x dx.
  • Page 87 “on the top,” 5x – x + 5, press ) MATH 0 area of 20.34. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + 5. X/θ/T/n + –...
  • Page 88 Label LOOP PRGM ALPHA Y1(X)+L⇒L 2ndF VARS ENTER ALPHA Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. P followed by ENTER . ALPHA ENTER ALPHA ENTER ENTER...
  • Page 89 Print W× R PRGM PRGM Press 2ndF QUIT to save the program and exit the editing mode. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) X/θ/T/n ENTER ALPHA ÷...
  • Page 90 Correct the error using the editing features of the calculator and save the program by pressing 2ndF the program again. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) X/θ/T/n . A , highlight the to go to the line within the QUIT .
  • Page 91 PRGM (L+Z+R) PRGM Execute like the rectangular program to find an approximate area of .83866. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ALPHA ENTER ALPHA ENTER...

  • Page 92: Hyperbolic Functions

    5. To enter the hyperbolic cosine function ( y = cosh x ) for Y1, press MATH 6 (cosh x) press X/θ/T/n . 6. Press GRAPH to view the graph. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
  • Page 93 6. Turn off sequence mode and dot mode. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. – n for u(n) by pressing X/θ/T/n = 1 for u(nMin) by pressing...
  • Page 94 GRAPH . 5. Turn off sequence mode and dot mode. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + 2n for u(n) by pressing n – 1 X/θ/T/n –...
  • Page 95 The partial sum of the first 10 terms is 2.9289. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. QUIT to exit the SET UP menu. LIST A (OPE) 5 (seq ).
  • Page 96 6. This particular shape of curve is called a cardoid. Trace the curve by pressing TRACE . Notice the expression is displayed at the top of the screen. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. E (COORD) –...

  • Page 97: Graphing Parametric Equations

    5. Press TRACE and notice the expression and T values now appear on the range screen. Advanced Keyboard/CALCULUS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. cos X/θ/T/n ENTER CL 2 ENTER .
  • Page 98 8. To retrieve a data set matrix into a statistical data set, press LIST C (L_DATA) 2 (RclLD) 1 Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER ENTER ENTER .
  • Page 99 ENTER 4. To save this data set, press 1 (StoLD) 2 ENTER . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER ENTER ENTER ENTER . + –...
  • Page 100 11. the maximum value in the data set, xmax. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER to delete the old data. Repeat for other lists...
  • Page 101 7. To view the histogram, press GRAPH . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER . Set the list to L1 by pressing ▼ QUIT .
  • Page 102 Yscl = 1 by pressing (–) 5. Press Y= and CL to clear any graphs. Press GRAPH view the histogram. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER ENTER ENTER ENTER .
  • Page 103 7. Turn PLOT1 off by pressing STAT PLOT 2ndF QUIT . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. repeatedly to trace the points making up ENTER 2ndF...
  • Page 104 6. Turn PLOT1 off by pressing STAT PLOT 2ndF QUIT . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2ndF ENTER to enter L1 as the data...
  • Page 105 2ndF QUIT . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER . Press ENTER ENTER to choose one-variable data. Press ▼ to highlight and mark the pieces of...
  • Page 106 5. To recall the statistical data from memory, press C (L_DATA) 2 (RclLD) and press 1 ENTER . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER ENTER ENTER .
  • Page 107 ENTER 3. Save this data set by pressing and press 2 ENTER . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER ENTER ENTER ENTER + –...
  • Page 108 ∑xy. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER . Repeat for other lists. or ∑y...
  • Page 109 4. Press ▼ to view more of the numerical descriptions. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. QUIT STAT C (CALC) and 2...
  • Page 110 6. Press TRACE and press Ymin= 48.63, and Ymax= 52.03. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER to set L2 for repeatedly to verify that Xmin= 1, Xmax= 7,...
  • Page 111 5. To view the overlay of the regression line and the scatter diagram, press 2ndF VARS GRAPH . Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER ▼ 2ndF L1 ENTER 2ndF L2 H (STAT) ENTER B (REGEQN) 1 (RegEqn) + –...
  • Page 112 7. Repeat this process to find and view other regression models. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ) for the data, press ) and press ENTER .
  • Page 113 4. Continue this analysis with other regression models. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) + bx + c) for the data, press ) and press ENTER .
  • Page 114 "da Bears" win approximately 8.56 games a season, which says they are winners. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. QUIT STAT E (TEST) and...
  • Page 115 Packers win 8.13. The Bears win more on the average, but statistically, they are not significantly different. Advanced Keyboard/STATISTICS USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) 9 11 13 13 11 8 9 2ndF L1 ENTER .

  • Page 116: Graphs Of Trigonometric Functions

    3. Continue to use the sine function's built-in viewing range. 4. Press GRAPH to view the graph. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. SET UP B (DRG) 2 (Rad) X/θ/T/n .

  • Page 117: Evaluating Trigonometric Functions

    6. Once again, trace over near x = 1.047. Zoom in one more time to see an even better approximation. The y value of .866 approximates sin ( Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + – to access the computation screen.
  • Page 118 = 20° since it is the middle of the x values. The approximate for tan 20° is .36397. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. π ) directly in degree mode π...

  • Page 119: Graphical Verification Of Formulas And Identities

    6. They appear as one graph. An invalid formula or identity would result in two graphs. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to clear additional expressions. QUIT to exit the menu.
  • Page 120 -2 and 2. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. X/θ/T/n . X/θ/T/n .
  • Page 121 2. Press GRAPH to view the graphs. Observe and note the changes in sin x when you change the phase shift. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (Rad). Press 2ndF QUIT to exit the menu.

  • Page 122: Inverse Trigonometric Functions

    Y1 by pressing 2ndF 4. Set your viewing window by pressing ZOOM 4 (sin Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + – CL to enter computation mode. ×...
  • Page 123 3. Set your viewing window by pressing ZOOM 5 (cos Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. + – CL to access and clear the ×...

  • Page 124: Solving Trigonometric Equations

    1 (RclWin). Trace to find the right intercept. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. CL to access and clear Y1 of an old QUIT to exit the menu.
  • Page 125 Next, press 2ndF Do this several times. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. SET UP B (DRG) and 2 (Rad). x – cos x – 1 = 0, press 2 X/θ/T/n...

  • Page 126: Applications With Right Triangles

    Press ▼ to position the cursor over the B and press 2ndF to find B. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. QUIT to exit the set up menu. SOLVER , and press CL to delete any...
  • Page 127 8.6 for A and solve for C. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. SOLVER to access the SOLVER, and press CL to delete...
  • Page 128 The solution is displayed at the bottom of the screen. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. SET UP QUIT to exit the set up screen.
  • Page 129 8. Notice the left and right sides of the equation are displayed as equal values, and the L – R = 0. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. SOLVER (or press CL twice if you are still SOLVER...

  • Page 130: Area Of A Triangle

    EXE to solve for the area. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. QUIT to exit the set up screen. SOLVER , and press CL to delete B•H with the keystrokes: ALPHA...
  • Page 131 7, 8, and 9. The value for S will be 12. Enter these into the solver and press 2ndF EXE to find the area. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) SOLVER EXE to see the Graphic solver variable √...

  • Page 132: Area Of A Circular Sector

    .001 and remember that you should change it to a slightly larger value if an error message results. Press 2ndF Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. QUIT to exit the set + –...
  • Page 133 13. Press 2ndF EXE to find the area. Advanced Keyboard/TRIGONOMETRY USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) A (METHOD) 3 (Graphic). EXE .
  • Page 134 You must press ENTER after correcting a mistake for the correction to be saved for future use. Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
  • Page 135 Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. QUIT to save the program and PRGM A (EXEC) and select the program...
  • Page 136 Goto D PRGM Label C PRGM X⇒P X/θ/T/n Label D PRGM Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ALPHA ENTER ALPHA ENTER X/θ/T/n ENTER 2ndF VARS...
  • Page 137 The first midpoint will appear on the screen. Press ENTER repeatedly until the program stops. This last midpoint is accurate to at least two decimal places. Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) PRGM MATH ALPHA –...
  • Page 138 Goto A ALPHA PRGM Press 2ndF QUIT Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. = a + bi using DeMoivre’s theorem. ALPHA ENTER ALPHA ENTER ALPHA...
  • Page 139 Correct the error and execute the program again. Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) A (EXEC) and selecting ENTER . Enter the ENTER .
  • Page 140 2ndF DX+F)))÷ ALPHA (2C)”⇒Y2 ALPHA X/θ/T/n Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ENTER at the end of each line. If you ALPHA ENTER ALPHA ENTER...
  • Page 141 Correct the error and execute the program again. Return the calculator to equation editor mode by pressing 2ndF Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) PRGM...
  • Page 142 Label B If N≤(2÷3) Goto C .5(X+.5)⇒X .5(Y+1)⇒Y Goto D Label C Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. MATH X/θ/T/n MATH ALPHA ALPHA ENTER PRGM...
  • Page 143 PRGM program will slowly generate 2000 random points that create the Sierpinski Triangle. Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) X/θ/T/n X/θ/T/n...
  • Page 144 +M⇒R 2X×Y+N⇒S ⇒Z If Z>4 Goto C Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. +c. The graph is generated from a construction of ALPHA ENTER ALPHA...
  • Page 145 MANDEL program by pressing PRGM The program will roughly and very slowly generate the Mandelbrot set. Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ALPHA X/θ/T/n...
  • Page 146 Goto C N⇒X Goto A Label B Print “GUESS BETTER Label C Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. PRGM ALPHA PRGM X/θ/T/n PRGM MATH 2ndF...
  • Page 147 Correct the error and execute the program again. Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ▼...
  • Page 148 1⇒Yscl ClrDraw Label A Line(X,H,X+1, Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. at the end of each line. If you make a mis PRGM ALPHA PRGM...
  • Page 149 A blinking cursor in the upper right-hand corner tells you the program is still working. Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. (continued) ALPHA...

  • Page 150: Slope Fields

    (sin X÷X) (A–X) +Y⇒B A⇒C B⇒D X–H⇒A (sin X÷X) (A–X) +Y⇒B Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. 2ndF DRAW ENTER ALPHA MATH 2ndF VARS ALPHA...
  • Page 151 Execute the SFIELD program by pressing PRGM (EXEC) and select SFIELD. When the program is done, press GRAPH . Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. ALPHA ALPHA...
  • Page 152 Print A÷L Print B÷L Print C÷L Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only. at the end of each line. If you make a PRGM ALPHA PRGM...
  • Page 153 C. For example, to find the length of the vector <1, 2, 3> and the unit vector in its direction, press 1 ENTER ENTER ENTER . Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900 Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

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