10. Consider the polar equation r = sin² (2) a) Find the (rectangular) equation of the tangent line when 0 => b) Set up an integral to represent the arc length of the curve for 0

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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10. Consider the polar equation r = sin² (2)
a) Find the (rectangular) equation of the tangent line when 0 =>
b) Set up an integral to represent the arc length of the curve for 0 <t<π.
c) Evaluate the integral you set up in part (b).
Transcribed Image Text:10. Consider the polar equation r = sin² (2) a) Find the (rectangular) equation of the tangent line when 0 => b) Set up an integral to represent the arc length of the curve for 0 <t<π. c) Evaluate the integral you set up in part (b).
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