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B) Let s(t) = -t“. 0

B) Let s(t) = -t“. 0

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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B) Let s(t) = -t“. 0<t< 60. 10t3 + 100t be the position of an object moving horizontally at time t for (a) Find the derivative of s(t) with respect to t. i.e. find s'(t). (You can use derivative rules to find this derivative function. You DO NOT need to use the limit definition.) (b) Find the values of t that make the derivative equal to zero. Hint: factor! (c) At what times is the object moving forward? At what times is the object moving backward? Hint: use your factored form from part (b).
Transcribed Image Text:B) Let s(t) = -t“. 0<t< 60. 10t3 + 100t be the position of an object moving horizontally at time t for (a) Find the derivative of s(t) with respect to t. i.e. find s'(t). (You can use derivative rules to find this derivative function. You DO NOT need to use the limit definition.) (b) Find the values of t that make the derivative equal to zero. Hint: factor! (c) At what times is the object moving forward? At what times is the object moving backward? Hint: use your factored form from part (b).
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