2. Consider the pårametric curve x = (t? – 2t + 1)e3t, y = (t² + 4t + 4)e3t a. Find points (x, y) on the parametric curve where the tangent lines are vertical. b. Find points (x, y) on the parametric curve where the tangent lines are horizontal. c. Find the interval(s), in terms of t, where the parametric curve is concave upward. d. Find the interval(s), in terms of t, where the parametric curve is concave downward.
2. Consider the pårametric curve x = (t? – 2t + 1)e3t, y = (t² + 4t + 4)e3t a. Find points (x, y) on the parametric curve where the tangent lines are vertical. b. Find points (x, y) on the parametric curve where the tangent lines are horizontal. c. Find the interval(s), in terms of t, where the parametric curve is concave upward. d. Find the interval(s), in terms of t, where the parametric curve is concave downward.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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