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1. The position function for a moving object is r(t) = < 7et-2 - t², t² - 3t, ½-½ a. The value of t when the object has the position vector <3, -2, 1> >. Find the following: b. The velocity and acceleration vectors at the t-value you found above. c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?

1. The position function for a moving object is r(t) = < 7et-2 - t², t² - 3t, ½-½ a. The value of t when the object has the position vector <3, -2, 1> >. Find the following: b. The velocity and acceleration vectors at the t-value you found above. c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?

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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1. The position function for a moving object is r(t) = < 7et-2 - t², t² - 3t, ½-½ a. The value of t when the object has the position vector <3, -2, 1> >. Find the following: b. The velocity and acceleration vectors at the t-value you found above. c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?
Transcribed Image Text:1. The position function for a moving object is r(t) = < 7et-2 - t², t² - 3t, ½-½ a. The value of t when the object has the position vector <3, -2, 1> >. Find the following: b. The velocity and acceleration vectors at the t-value you found above. c. The angle between the velocity and acceleration vectors you found above. Is the object speeding up or slowing down?
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