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Problem: Find the root greater than zero for the following equation using the Secant Method and compare the result with MATLAB's fzero function. e^{0.5x} = 5 - 4x^3 Write a main program and a function program (see requirements) Requirement: 1. Main Program a. define function handle for the equation you are finding the root for b. define es based on 4 significant figures c. use input statements to have the user enter two initial guesses Enter first guess for the root: Enter second guess for the root: d. call function program to estimate root using Secant Method e. calculate root using matlab's fzero function (r = fzero(f,x1), where 'f' is the function handle, and x1 is the first initial guess of the root) f. output results as follows Using fzero the root of the equation is: #.##### Using the Secant Method the root of the equation is: #.##### It too # iterations for the Secant Method to converge. 2. Function Program (algorithm for Secant Method) a. algorithm for Secant Method b. name your function program sec_method c. inputs to your function will be es, x1, x2, and your function handle (where x1 and x2 are the initial guesses) d. outputs will be the root and the number of iterations. Example: Enter first guess for the root: 2 Enter second guess for the root: 2.2 Using fzero the root of the equation is: 0.94677 Using the Secant Method the root of the equation is: 0.94677 It took 7 iterations for the Secant Method to converge.

          Problem:
Find the root greater than zero for the following equation using the Secant Method and compare
the result with MATLAB's fzero function.
e^{0.5x} = 5 - 4x^3
Write a main program and a function program (see requirements)
Requirement:
1. Main Program
a. define function handle for the equation you are finding the root for
b. define es based on 4 significant figures
c. use input statements to have the user enter two initial guesses
Enter first guess for the root:
Enter second guess for the root:
d. call function program to estimate root using Secant Method
e. calculate root using matlab's fzero function (r = fzero(f,x1), where 'f' is the function
handle, and x1 is the first initial guess of the root)
f. output results as follows
Using fzero the root of the equation is: #.#####
Using the Secant Method the root of the equation is: #.#####
It too # iterations for the Secant Method to converge.
2. Function Program (algorithm for Secant Method)
a. algorithm for Secant Method
b. name your function program sec_method
c. inputs to your function will be es, x1, x2, and your function handle (where x1 and x2
are the initial guesses)
d. outputs will be the root and the number of iterations.
Example:
Enter first guess for the root: 2
Enter second guess for the root: 2.2
Using fzero the root of the equation is: 0.94677
Using the Secant Method the root of the equation is: 0.94677
It took 7 iterations for the Secant Method to converge.

Problem:
Find the root greater than zero for the following equation using the Secant Method and compare
the result with MATLAB's fzero function.
e^0.5x = 5 - 4x^3
Write a main program and a function program (see requirements)
Requirement:
1. Main Program
a. define function handle for the equation you are finding the root for
b. define es based on 4 significant figures
c. use input statements to have the user enter two initial guesses
Enter first guess for the root:
Enter second guess for the root:
d. call function program to estimate root using Secant Method
e. calculate root using matlab's fzero function (r = fzero(f,x1), where 'f' is the function
handle, and x1 is the first initial guess of the root)
f. output results as follows
Using fzero the root of the equation is: #.#####
Using the Secant Method the root of the equation is: #.#####
It too # iterations for the Secant Method to converge.
2. Function Program (algorithm for Secant Method)
a. algorithm for Secant Method
b. name your function program secmethod
c. inputs to your function will be es, x1, x2, and your function handle (where x1 and x2
are the initial guesses)
d. outputs will be the root and the number of iterations.
Example:
Enter first guess for the root: 2
Enter second guess for the root: 2.2
Using fzero the root of the equation is: 0.94677
Using the Secant Method the root of the equation is: 0.94677
It took 7 iterations for the Secant Method to converge.

Added by Frederick E.

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