7. Consider the following parametric curve: x = sint, y = 2 cost, for 0 ≤t≤ a) Eliminate the parameter to find a rectangular equation for the curve. b) Use the parametric equations to find the slope of the tangent line when t = c) Use the parametric equations to set up an integral to represent the arc length of the curve. You do not need to evaluate the integral.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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7. Consider the following parametric curve:
x = sint, y = 2 cost, for 0 ≤t≤
a) Eliminate the parameter to find a rectangular equation for the curve.
b) Use the parametric equations to find the slope of the tangent line when t =
c) Use the parametric equations to set up an integral to represent the arc length of the curve. You do not need to
evaluate the integral.
Transcribed Image Text:7. Consider the following parametric curve: x = sint, y = 2 cost, for 0 ≤t≤ a) Eliminate the parameter to find a rectangular equation for the curve. b) Use the parametric equations to find the slope of the tangent line when t = c) Use the parametric equations to set up an integral to represent the arc length of the curve. You do not need to evaluate the integral.
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