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Q2 In Q1 we had a plot of the function from which it was clear that there was two solutions of f(x)=0. However, normally the search is blind, and we may not even know how many solutions that there are. In some cases it is necessary to search for zeros by having a set of initial guesses that are uniformly spaced across some interval. For the same function f(x) = 1.2 e0.53x − 2.3x + 1.01 find the zeros by setting up a program that has initial guesses over the interval of x from -10 to 8 at unit spacing. Determine the solution that fzero() converges to for each initial value of x and put these into an array. Then add a few Matlab statements that searches through this array to find the solutions that are unique. The end result should be a reduced list of two solutions.

Q2 In Q1 we had a plot of the function from which it was clear that there was two solutions of f(x)=0. However, normally the search is blind, and we may not even know how many solutions that there are. In some cases it is necessary to search for zeros by having a set of initial guesses that are uniformly spaced across some interval. For the same function f(x) = 1.2 e0.53x − 2.3x + 1.01 find the zeros by setting up a program that has initial guesses over the interval of x from -10 to 8 at unit spacing. Determine the solution that fzero() converges to for each initial value of x and put these into an array. Then add a few Matlab statements that searches through this array to find the solutions that are unique. The end result should be a reduced list of two solutions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2 In Q1 we had a plot of the function from which it was clear that there was two solutions of f(x)=0. However, normally the search is blind, and we may not even know how many solutions that there are. In some cases it is necessary to search for zeros by having a set of initial guesses that are uniformly spaced across some interval. For the same function f(x) = 1.2 e0.53x − 2.3x + 1.01 find the zeros by setting up a program that has initial guesses over the interval of x from -10 to 8 at unit spacing. Determine the solution that fzero() converges to for each initial value of x and put these into an array. Then add a few Matlab statements that searches through this array to find the solutions that are unique. The end result should be a reduced list of two solutions.
Transcribed Image Text:Q2 In Q1 we had a plot of the function from which it was clear that there was two solutions of f(x)=0. However, normally the search is blind, and we may not even know how many solutions that there are. In some cases it is necessary to search for zeros by having a set of initial guesses that are uniformly spaced across some interval. For the same function f(x) = 1.2 e0.53x − 2.3x + 1.01 find the zeros by setting up a program that has initial guesses over the interval of x from -10 to 8 at unit spacing. Determine the solution that fzero() converges to for each initial value of x and put these into an array. Then add a few Matlab statements that searches through this array to find the solutions that are unique. The end result should be a reduced list of two solutions.
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