. A particle moves along a curve so that its position at time t≥ 0 is given by x (t) = e 2t and y(t) = sin 3t. What is the speed of the particle at time t = 2?

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 particle moves along a curve so that its position at time t≥ 0 is
given by x (t) = e 2t and y(t) = sin 3t. What is the speed of the particle
at time t = 2?
Transcribed Image Text:. A particle moves along a curve so that its position at time t≥ 0 is given by x (t) = e 2t and y(t) = sin 3t. What is the speed of the particle at time t = 2?
). The volume of a cube is expanding at 0.3 cubic centimeters per second. If the length of a side of the cube is 2 centimeters at that
instant, then the surface area of the cube is expanding at what rate?
Transcribed Image Text:). The volume of a cube is expanding at 0.3 cubic centimeters per second. If the length of a side of the cube is 2 centimeters at that instant, then the surface area of the cube is expanding at what rate?
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