1. Use the parametric equations x = sin(t) and y=sin^3(t) to answer parts a and b. a. Eliminate the parameter to obtain an equation (rectangular) in x and y. Graph the curve and describe the motion of a point on the curve as t increases. b. Determine the values t = t\:_{0} where the curve is not smooth.
1. Use the parametric equations x = sin(t) and y=sin^3(t) to answer parts a and b. a. Eliminate the parameter to obtain an equation (rectangular) in x and y. Graph the curve and describe the motion of a point on the curve as t increases. b. Determine the values t = t\:_{0} where the curve is not smooth.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 8CLT
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1. Use the parametric equations x = sin(t) and y=sin^3(t) to answer parts a and b.
a. Eliminate the parameter to obtain an equation (rectangular) in x and y. Graph the curve and describe the motion of a point on the curve as t increases.
b. Determine the values t = t\:_{0} where the curve is not smooth.
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