Consider the ellipse x2/a2 + y2/b2 = 1. a. Show that its perimeter is b The integral
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a. Show that its perimeter is
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b The integral in part (a) is called an elliptic integral. It has been studied at great length, and it is known that the inte-grand does not have an elementary antiderivative, so we must turn to approximate methods to evaluate P. Do so when a = 1 and e = 1/4 using the Parabolic Rule with n = 4. (Your answer should be near 2Ï€. Why?)
(c) Repeat part (b) using n = 20.
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a Let x a cos t and y b sin t b The answer is ne...View the full answer
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