Question 3 (a) Find the length of the curve y = ln(cos x) for -x [7]...
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Question 3 (a) Find the length of the curve y = ln(cos x) for -≤x≤ [7] (b) Find the area of the surface generated by revolving the curve of a Cycloid with parametric equations about the line y = 2. (x(t) = t - sint (y(t) = 1 - cost 0st≤ 2πt Question 4 Given five points A(1,0,2), B(3, 1, 1), C(4,2,-1), D(2,3,1) and E(2,3,0) in R³. Use vector methods to answer the following questions. (a) Find the angle ZBAC. (b) Find the equation of the plane containing the points A, B and E. (c) [8] [4] [6] Suppose that line L₁ passes through points A and B, and that line L₂ passes through points C and D. Find the shortest distance between line L₁ and line L2. [7] Question 3 (a) Find the length of the curve y = ln(cos x) for -≤x≤ [7] (b) Find the area of the surface generated by revolving the curve of a Cycloid with parametric equations about the line y = 2. (x(t) = t - sint (y(t) = 1 - cost 0st≤ 2πt Question 4 Given five points A(1,0,2), B(3, 1, 1), C(4,2,-1), D(2,3,1) and E(2,3,0) in R³. Use vector methods to answer the following questions. (a) Find the angle ZBAC. (b) Find the equation of the plane containing the points A, B and E. (c) [8] [4] [6] Suppose that line L₁ passes through points A and B, and that line L₂ passes through points C and D. Find the shortest distance between line L₁ and line L2. [7]
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Related Book For
Automation Production Systems and Computer Integrated Manufacturing
ISBN: 978-0132393218
3rd edition
Authors: Mikell P.Groover
Posted Date:
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