Find parametric equations for the path of a particle that moves along the circle x^2+(y-3)^2=16 in the manner described. Enter the answer as a comma-separated list of equations. Let x and y be in terms of t.  a) Once around clockwise, starting at (4,3). 0<=t<=2*pi b) Two times around counterclockwise, starting at (4,3). 0<=t<=4*pi c)Halfway around counterclockwise, starting at (0,7). 0<=t<=pi

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 57E
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Find parametric equations for the path of a particle that moves along the circle x^2+(y-3)^2=16 in the manner described. Enter the answer as a comma-separated list of equations. Let x and y be in terms of t. 

a) Once around clockwise, starting at (4,3). 0<=t<=2*pi

b) Two times around counterclockwise, starting at (4,3). 0<=t<=4*pi

c)Halfway around counterclockwise, starting at (0,7). 0<=t<=pi

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