Consider the curve parametrized by x = t4 + 1 and y t6 + 4t5. www dy a) Find in terms of t. dx b) Find d'y dx² in terms of t. d²y/da² c) For what intervals of t is the curve concave up? Enter your answer as intervals separated by a comma.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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Consider the curve parametrized by x
t4 + 1 and y = 6 + 4t5.
dy
a) Find in terms of t.
dx
b) Find
d'y
dx²
in terms of t.
d²y/dx²
c) For what intervals of t is the curve concave up? Enter your answer as intervals
separated by a comma.
Transcribed Image Text:Consider the curve parametrized by x t4 + 1 and y = 6 + 4t5. dy a) Find in terms of t. dx b) Find d'y dx² in terms of t. d²y/dx² c) For what intervals of t is the curve concave up? Enter your answer as intervals separated by a comma.
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