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The secant method is an iterative root nding method that is super-linear. The method has the advantage that it is faster than linear methods and does not require knowledge of the derivative of the function whose root is desired. On the other hand, it requires two starting values. The secant method is de ned by the recurrence relation:
Write a function root = secant(f,x1,x2,tol) that computes a root of the function with handle f using the starting values x1 and x2 to within the tolerance tol. The output root must satisfy abs(f(root)) Note: Your roots may di er slightly from those in the test cases, but should satisfy the speci ed tolerance. You are not allowed to use any of Matlab's builtin root nding functions.
Note: Your roots may di er slightly from those in the test cases, but should satisfy the speci ed tolerance. You are not allowed to use any of Matlab's builtin root nding functions.
illustration of for loop: illustration, to print a column of numbers from 1 to 5: for i = 1:5 fprintf('%d\n',i) end This loop can be entered in the Command Wi
use the loop for to produce [-1 -1 -1 -1; 0 -1 -1 -1; 0 0 -1 -1; 0 0 0 -1]
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Model the three degree of freedom system shown in Figure Q5 and solve for the displacements of the three masses due to a force of 10 N applied to the bottom mass at a frequency of
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