Do the following tasks using Mathematica. The parametric equations of a cycloid are: x = a(0...
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Do the following tasks using Mathematica. The parametric equations of a cycloid are: x = a(0 - sin 0), y = a(1- cos 0). (a) Plot the curve, for 0 ≤ 0 ≤ 6π and a = 1. (b) Find the exact length of the curve, for 0 ≤ 0 ≤ 6π and a = 1. DO NOT use ArcLength. (c) Graph the region between the surfaces z = exp(-x²) cos(x² + y²) and z = 2x² - y² for |x|, |y| ≤ 1. Approximate the volume of this region correct to four decimal places. Do the following tasks using Mathematica. The parametric equations of a cycloid are: x = a(0 - sin 0), y = a(1- cos 0). (a) Plot the curve, for 0 ≤ 0 ≤ 6π and a = 1. (b) Find the exact length of the curve, for 0 ≤ 0 ≤ 6π and a = 1. DO NOT use ArcLength. (c) Graph the region between the surfaces z = exp(-x²) cos(x² + y²) and z = 2x² - y² for |x|, |y| ≤ 1. Approximate the volume of this region correct to four decimal places.
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Related Book For
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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