Consider the curve parametrized by x = t +1 and y = t6 + 4t. dy in terms of t. d.x a) Find Preview 1/2(3t^2+10t) 2 - (312 + 10£) Correct. Good Job! dy in terms of t. da? b) Find Preview dy/da = 4t (3t + 5) dy dr? 4t^3(3t+5)

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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Part b
Consider the curve parametrized by x =
a) Find
dy
dx
in terms of t.
1/2(3t^2+10t)
Correct. Good Job!
b) Find
ď²y
dx²
dy/da²4t^3(3t+5)
in terms of t.
t4 + 1 and y = t6 + 4t5.
Preview
(31²+10t)
Preview
d²y/dr² = 4t³ (3t+5)
Transcribed Image Text:Consider the curve parametrized by x = a) Find dy dx in terms of t. 1/2(3t^2+10t) Correct. Good Job! b) Find ď²y dx² dy/da²4t^3(3t+5) in terms of t. t4 + 1 and y = t6 + 4t5. Preview (31²+10t) Preview d²y/dr² = 4t³ (3t+5)
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