ME17PS_1_2008

ME17PS_1_2008 - ME17 Summer, 2008 Problem Set #1 Due...

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ME17 Summer, 2008 Problem Set #1 Due Tuesday July 1st at classtime Reading: Chapter 1 (all): Chapter 2 (all): Chapter 3, 3.1-3.5: Chapter 4, 4.1-4.4: Chapter 5, 5.1-5.4 NOTE: All solutions must contain a copy of your M ATLAB procedure as appropriate. No details, no credit. All graphs must have both axes labeled and if more than one curve is plotted, each curve must be distinguished by either labels or different plotting symbols. In other words, if the problem is one requiring the use of M ATLAB, the M ATLAB procedure that produced your results must be included. Problem 1. Consider the function sin(x) and the following approximation to it: y = sin(x), z = x – x 3 /6, i.e y is the exact value of sin(x) and z is an approximation to it. Compute y = sin(0.35) using the sine function on a hand calculator. Report your answer to five significant figures by rounding, not chopping . Compute z = sin(0.35) using the approximation given above, again to five significant figures by rounding not chopping. Compare your results for y and z and answer the following questions: What is the accuracy of the answer you get from the approximate formula? Express the accuracy
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ME17PS_1_2008 - ME17 Summer, 2008 Problem Set #1 Due...

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