8. A parametric curve is defined by TC x(t) = sin² T cos² r dr, y(t) = sint, for < t < 3 Find the area A under this curve and above the x-axis.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Answer.  A= 17/480.

8. A parametric curve is defined by
x(t) = sin² Tcos² Tdt, y(t) = sint, for
TC
<t<
3
Find the area A under this curve and above the x-axis.
T
Transcribed Image Text:8. A parametric curve is defined by x(t) = sin² Tcos² Tdt, y(t) = sint, for TC <t< 3 Find the area A under this curve and above the x-axis. T
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