Q7. Consider a large circle of radius R > 0 centered at the origin. Suppose that a small circle of radius r< R is centered at (0,R + r). Let c(0) be a marked point (0,R + 2r). Allow the small circle to travel with angular velocity de/dt = 1 around the outside of the large circle while remaining tangent to it. Parametrize the curve c(t) traced by the marked point %3D

Trigonometry (MindTap Course List)
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ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter3: Radian Measure
Section3.5: Velocities
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Q7. Consider a large circle of radius R > 0
centered at the origin. Suppose that a small
circle of radius
r< R is centered at (0,R + r). Let c(0) be a
marked point (0,R + 2r). Allow the small
circle to travel
with angular velocity de/dt = 1 around the
outside of the large circle while remaining
tangent to it.
Parametrize the curve c(t) traced by the
marked point
%3D
Transcribed Image Text:Q7. Consider a large circle of radius R > 0 centered at the origin. Suppose that a small circle of radius r< R is centered at (0,R + r). Let c(0) be a marked point (0,R + 2r). Allow the small circle to travel with angular velocity de/dt = 1 around the outside of the large circle while remaining tangent to it. Parametrize the curve c(t) traced by the marked point %3D
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