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Let r(t)= (212-t,t³ +1²-5t), -2≤t≤ 2. (a) Sketch the curve which is generated by r(t). You may use technology to help you do so. (b) Compute r'(t). (c) Which has larger magnitude, r'(-1) or r'(1)? On a copy of your sketch from (a), plot both vectors as tangent vectors and explain how this verifies your answer.

Let r(t)= (212-t,t³ +1²-5t), -2≤t≤ 2. (a) Sketch the curve which is generated by r(t). You may use technology to help you do so. (b) Compute r'(t). (c) Which has larger magnitude, r'(-1) or r'(1)? On a copy of your sketch from (a), plot both vectors as tangent vectors and explain how this verifies your answer.

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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Let r(t)= (212-t, t³ +1²-5t), -2 ≤t≤ 2. (a) Sketch the curve which is generated by r(t). You may use technology to help you do 8o. (b) Compute r'(t). (c) Which has larger magnitude, r'(-1) or r'(1)? On a copy of your sketch from (a), plot both vectors as tangent vectors and explain how this verifies your answer.
Transcribed Image Text:Let r(t)= (212-t, t³ +1²-5t), -2 ≤t≤ 2. (a) Sketch the curve which is generated by r(t). You may use technology to help you do 8o. (b) Compute r'(t). (c) Which has larger magnitude, r'(-1) or r'(1)? On a copy of your sketch from (a), plot both vectors as tangent vectors and explain how this verifies your answer.
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