MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 9, Problem 1P
To determine

To write:

A MATLAB code to find the two solutions of the equation x3e0.8x=20 between x=0 and x=8.

Expert Solution & Answer
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Answer to Problem 1P

Solution:

The two solutions of the equation x3e0.8x=20 between x=0 and x=8 are x1=3.2082 and x2=7.4898.

Explanation of Solution

The given equation is,

    x3e0.8x=20

The value of x lies between x=0 and x=8.

Solve the above equation to get the output,

    x1=3.2082

    x2=7.4898

Write the MATLAB code to find the two solutions of the equation x3e0.8x=20 between x=0 and x=8.

MATLAB Code:

F = @(x)x^(3) - exp(0.8*x)-20;

fplot(F,[0 8])

fzero(F,0)

fzero(F,8)

Save the MATLAB script with name, Chapter9_56830_9_1P.m in the current folder. Execute the script by typing the script name at the command window to get the code to find the two solutions of the equation x3e0.8x=20 between x=0 and x=8.

Result:

MATLAB: An Introduction with Applications, Chapter 9, Problem 1P , additional homework tip  1

MATLAB: An Introduction with Applications, Chapter 9, Problem 1P , additional homework tip  2

Conclusion:

Therefore, the two solutions of the equation x3e0.8x=20 between x=0 and x=8 are x1=3.2082 and x2=7.4898.

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Chapter 9 Solutions

MATLAB: An Introduction with Applications

Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A flat rectangular sheet of metal that is 70 in....Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A prismatic box with equilateral triangular base...Ch. 9 - An RLC circuit with an alternating voltage source...Ch. 9 - A 108-in.-long beam AB is attached to the wall...Ch. 9 - Use MATLAB to calcute the following integrals: (a)...Ch. 9 - Use MATLAB to calculate the following integrals:...Ch. 9 - The speed of a race car during the first 7 s of a...Ch. 9 - A rubber band is stretched by fixing one end...Ch. 9 - Use numerical integration to approximate the size...Ch. 9 - The electric wire that connects the house to the...Ch. 9 - The flow rate Q (volume of fluid per second) in a...Ch. 9 - Prob. 24PCh. 9 - The variation of gravitational acceleration g with...Ch. 9 - An approximate map of Lake Erie is shown in the...Ch. 9 - To estimate the surface area and volume of a...Ch. 9 - Prob. 28PCh. 9 - The orbit of Mercury is elliptical in shape, with...Ch. 9 - Prob. 30PCh. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Prob. 33PCh. 9 - Use a MATLAB built-in funtion to numerically...Ch. 9 - The growth of a fish is often modeled by the von...Ch. 9 - A water tank shaped as a cone (R = 2 m, H = 4 m)...Ch. 9 - The sudden outbreak of an insect population can be...Ch. 9 - An airplane uses a parachute and other means of...Ch. 9 - The population growth of species with limited...Ch. 9 - An RL circuit includes a voltage source vs, a...Ch. 9 - Growth of many organisms can be modeled with the...Ch. 9 - The velocity, v, of an object that falls freely...
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