Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 59, Problem 18A
To determine

The given quantity from square centimeters into square meters.

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1. The periodic function f(x) has period 2. It is defined in the interval 0≤x≤ by f(x)=4x² (a) Sketch this function on the interval -4л≤x≤4л for the two cases i. f(x) is an odd function. ii. f(x) is an even function. (b) What can be deduced about the Fourier coefficients in these two cases? (c) Given that g(x): 4x², -
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5. Consider the matrix 102 A= 440 002 In this question work to 4 decimal places throughout and give your final answer to 3 decimal places. (a) Use 4 iterations of the power method to calculate an estimate of the maximal mag- nitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1) as the initial estimate of the eigenvector. Given that the the inverse of matrix A is 4 0 -4 1 =- -4 1 4 4 0 0 2 (b) Use this matrix to perform 3 iterations of the power method to calculate an estimate of the minimal magnitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with (1,1,1)" as the initial estimate of the eigenvector.

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