A particle moving with nonzero velocity along the polar curve r=3+2cos(theta) has position (x(t), y(t)) at time t with theta=0. The particle moves along the curve so that dr/dt =dr/d theta. Find the value of dr/dt at theta=pi/3 and interpret this answer in terms of the motion of the particle.
A particle moving with nonzero velocity along the polar curve r=3+2cos(theta) has position (x(t), y(t)) at time t with theta=0. The particle moves along the curve so that dr/dt =dr/d theta. Find the value of dr/dt at theta=pi/3 and interpret this answer in terms of the motion of the particle.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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Area= 11* sqrt3 +28pi/3
A particle moving with nonzero velocity along the polar curve r=3+2cos(theta) has position (x(t), y(t)) at time t with theta=0. The particle moves along the curve so that dr/dt =dr/d theta. Find the value of dr/dt at theta=pi/3 and interpret this answer in terms of the motion of the particle.
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