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3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a particle moving along the unit circle. (a) For which values of t is the particle moving counterclockwise? (b) Find the points on the circle at which the speed v(t) = V[= (t)]? + [y'(t)]? of the particle is minimum.

3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a particle moving along the unit circle. (a) For which values of t is the particle moving counterclockwise? (b) Find the points on the circle at which the speed v(t) = V[= (t)]? + [y'(t)]? of the particle is minimum.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17T
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This is a previous practice problem that I do not understand, thank you.

3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a particle moving along the unit circle. (a) For which values of t is the particle moving counterclockwise? (b) Find the points on the circle at which the speed v(t) = V[= (t)]? + [y'(t)]? of the particle is minimum.
Transcribed Image Text:3. The parametric equations r(t) = cos(t – t³),y(t) = sin(t – t°), t € R describe the position of a particle moving along the unit circle. (a) For which values of t is the particle moving counterclockwise? (b) Find the points on the circle at which the speed v(t) = V[= (t)]? + [y'(t)]? of the particle is minimum.
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