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(a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2; (0,3) (b) Find dy/dx and d²y/dx² of the curve below. For which values of this the curve concave upward? x = et + 1, y = e²t + 2t

(a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2; (0,3) (b) Find dy/dx and d²y/dx² of the curve below. For which values of this the curve concave upward? x = et + 1, y = e²t + 2t

Calculus: Early Transcendentals
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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(a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2; (0,3) (b) Find dy/dx and d²y/dx² of the curve below. For which values of t is the curve concave upward? x = et + 1, y = e²t + 2t
Transcribed Image Text:(a) Find an equation of the tangent(s) to the curve at the given point. x = t³-t, y = e²t + 3t+2; (0,3) (b) Find dy/dx and d²y/dx² of the curve below. For which values of t is the curve concave upward? x = et + 1, y = e²t + 2t
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