Consider the curve parametrized by x = t4 + 1 and y = tº + 4t5. a) Find dy dx da in terms of t. 3/2t^2+5t Correct. Good Job! d'y b) Find in terms of t. dx² d²y/dx² = (3t+5)/(4t^3) Correct. Good Job! 33 Preview = 1² + 5t d²y/dx² = Preview 3t+5 4t3 c) For what intervals of this 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
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
icon
Related questions
Question
Consider the curve parametrized by x = t4 + 1 and y = t6 + 4t5.
dy
a) Find
da
dx
3/2t^2+5t
in terms of t.
Correct. Good Job!
d²y
b) Find in terms of t.
dx²
d²y/dx²
-
(3t+5)/(4t^3)
Correct. Good Job!
dy
dx
Preview
1²+5t
d²y/dx²
=
Preview
3t+5
4t3
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 = t6 + 4t5. dy a) Find da dx 3/2t^2+5t in terms of t. Correct. Good Job! d²y b) Find in terms of t. dx² d²y/dx² - (3t+5)/(4t^3) Correct. Good Job! dy dx Preview 1²+5t d²y/dx² = Preview 3t+5 4t3 c) For what intervals of t is the curve concave up? Enter your answer as intervals separated by a comma.
Expert Solution
steps

Step by step

Solved in 5 steps with 17 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning