Answered: A curve is given by the parametric…

A curve is given by the parametric equations x = t^4− 2t^2, y = 3t^4 − 7t^3,− 2 ≤ t < 2 . Find any points on this curve where the tangent is vertical.

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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Question

(c) A curve is given by the parametric equations
x = t^4− 2t^2, y = 3t^4 − 7t^3,− 2 ≤ t < 2 .
Find any points on this curve where the tangent is vertical.

(d) Find the interval where the graph of y = x^3 + 2x^2 + 4 is decreasing and concave
up.

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