31. In the Appendix to Chapter 12 we described the cycloid, which has the parametric representation x = u(t) = alt – sin t), y = v(t) = a(1 – cos t). (a) Find the length of one arch of the cycloid. [Answer: 8a). (b) Recall that the cycloid is the graph of v o u. Find the area under one arch of the cycloid by using the appropriate substitution in Sf and evaluating the resultant integral. (Answer: 3ma'| Peoblems 32 throuh 44 vse the material from Annendiy 2 to Chanter 13
31. In the Appendix to Chapter 12 we described the cycloid, which has the parametric representation x = u(t) = alt – sin t), y = v(t) = a(1 – cos t). (a) Find the length of one arch of the cycloid. [Answer: 8a). (b) Recall that the cycloid is the graph of v o u. Find the area under one arch of the cycloid by using the appropriate substitution in Sf and evaluating the resultant integral. (Answer: 3ma'| Peoblems 32 throuh 44 vse the material from Annendiy 2 to Chanter 13
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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