A curve is defined by the parametric equations x (t) = at² and d² y y (t) = bt where a and b are positive constants. What is dx² b 2a²t3 b 2at² b 4a²t3 0 - b 2at in terms of t? X

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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A curve is defined by the parametric equations x (t) = at² and
d² y
y (t)
=
bt where a and b are positive constants. What is
dx²
b
2a²t3
b
2at²
b
4a²t3
0
b
2at
in terms of t?
X
Transcribed Image Text:A curve is defined by the parametric equations x (t) = at² and d² y y (t) = bt where a and b are positive constants. What is dx² b 2a²t3 b 2at² b 4a²t3 0 b 2at in terms of t? X
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