Given this pair of parametric equations and value of t, 1 y = t3 + 1 t2 X = at t = 1 a) Find the point (ordered pair) on the curve at the value of t. b) Use the equation editor to write out a simplified form of the first derivative. c) Use the equation editor to write out a simplified form of the second derivative. d) Evaluate the second derivative the t-value. e) Determine whether the graph is concave up or concave down at that point. Explain

Given this pair of parametric equations and value of t, 1 y = t3 + 1 t2 X = at t = 1 a) Find the point (ordered pair) on the curve at the value of t. b) Use the equation editor to write out a simplified form of the first derivative. c) Use the equation editor to write out a simplified form of the second derivative. d) Evaluate the second derivative the t-value. e) Determine whether the graph is concave up or concave down at that point. Explain

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter6: Equations

Section6.4: Parametric Equations And Further Graphing

Problem 61PS

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