Sharp EL9900 manual 1Access the Solver feature

Page 17

EL-9900 Graphing Calculator

Solving a Literal Equation Using Newton's Method(Area of a Trapezoid)

The Solver mode is used to solve one unknown variable by inputting known variables. There are three methods: Equation, Newton’s, and Graphic. The Newton’s method can be used for more complicated equations. This method implements an iterative approach to find the solution once a starting point is given.

Example

Find the height of a trapezoid from the formula for calculating the area of a trapezoid using Newton’s method.

The formula : A=

1

h(b+c)

(A = area h = height b = top face c = bottom face)

2

 

 

 

1. Find the height of a trapezoid with an area of 25in2 and bases of length 5in and 7in using Newton's method. (Set the starting point to 1.)

2. Save the formula as “A TRAP”.

3. Find the height of a trapezoid with an area of 50in2 with bases of 8in and 10in using the saved formula. (Set the starting point to 1.)

Before

Starting

There may be differences in the results of calculations and graph plotting depending on the setting. Return all settings to the default value and delete all data.

As the Solver feature is only available on the Advanced keyboard, this section does not apply to the Basic keyboard.

Step & Key Operation

Display

Notes

1-1Access the Solver feature.

2nd F SOLVER

1-2Select Newton's method for solving.

2nd F SOLVER A

2

This screen will appear a few seconds after “SOLVER” is dis- played.

1-3Enter the formula A = 21 h(b+c).

ALPHA

 

A

 

ALPHA

 

=

1

 

a/b

2

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ALPHA

 

H

 

(

 

ALPHA

 

B

 

+

 

 

ALPHA

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

C

 

 

)

 

 

 

 

 

 

 

 

 

 

 

 

 

1-4Enter the values: A = 25, B = 5, C = 7

ENTER 2 5 ENTER

5 ENTER 7

ENTER

5-3

Image 17
Contents EL-9900 Contents Always read Before Starting Read this firstIntroduction Using this HandbookExample Fractions and DecimalsBefore Pie Charts and ProportionsSlope and Intercept of Linear Equations 1Enter the equation y = x for Y2 Parallel and Perpendicular Lines 2View the graphs Slope and Intercept of Quadratic Equations 1Change the equation in Y2 to y = x 2+2 1Access the Solver feature This screen will appear a few 4Enter the values L=15,000, I=0.09, N=48 Access the Solver feature 200 15 π 10π1Access the Solver feature 5Solve for the height and enter a starting point Graphing Polynomials and Tracing to Find the Roots 1Move the tracer near the left-hand root = x 4 + x 3 5x 2 3x + Graphing Polynomials and Jumping to Find the RootsFind the next root Solving a System of Equations by Graphing or Tool Feature 1Access the Tool menu. Select the number of variables Entering and Multiplying Matrices 1Multiply the matrices a and B together at the home screen Solving a System of Linear Equations Using Matrices 2Calculate B-1C Solving Inequalities EL-9900 Graphing Calculator = 2x 5 Solving Double Inequalities2x 5 ≥ = 2x 5 and y = 7 intersect at 6,7 + y ≤ + y ≤2x + y ≥ + 2y ≤ 1 y ≤ +y ≥ 4 y ≥ 4 x + 2y ≤ 1 x 2 + y ≥Continuing key operations omitted If x ≥ Slope and Intercept of Absolute Value Functions3View the graph Solve an absolute value equation 5 4x = Solving Absolute Value Equations= 10, y = Solving Absolute Value Inequalities2nd F Calc 2 x = = 9.999999999 Note +3 1+3 Evaluating Absolute Value FunctionsMath Graphing Rational Functions + 1x Solving Rational Function Inequalities = y 2 + 2 = y = +√ x + Graphing ParabolasChange to parametric mode Graph x 2 2x + y 2 + 4y = Graphing Circles2x + y 2 + 4y = 2x + y+22 =For Y1 = Y1 2 for Y2, and y = -Y1 -2 for Graphing Ellipses View the graph Graphing Hyperbolas Zoom out the screen Key pad for the Sharp EL-9900 Calculator Key pad for the Sharp EL-9900 Calculator Sharp Graphing Calculator Step Sharp Corporation OSAKA, Japan