1. The position of an object at time t is given by S(t) = 2t3- 13t2 + 24t + 1 (a) Find the velocity and the acceleration of the particle at t = 1. (b) Find the times at which the particle comes to a rest. 2. Given the function f(x) = x² + 12x. (a) Find the average rate of change as x changes from 3 to 5.
1. The position of an object at time t is given by S(t) = 2t3- 13t2 + 24t + 1 (a) Find the velocity and the acceleration of the particle at t = 1. (b) Find the times at which the particle comes to a rest. 2. Given the function f(x) = x² + 12x. (a) Find the average rate of change as x changes from 3 to 5.
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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My question is number 1. Please send me question number one answer.
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![1. The position of an object at time t is given by S(t) = 2t3-13t2 + 24t + 100.
(a) Find the velocity and the acceleration of the particle at t = 1.
(b) Find the times at which the particle comes to a rest.
2. Given the function f(x) = x² + 12x.
(a) Find the average rate of change as x changes from 3 to 5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60dcdb06-bc75-40ec-94e1-137fc9c354bc%2F8157ef58-5cd3-4e13-9f1e-84e185dd81e4%2Fls3xlac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The position of an object at time t is given by S(t) = 2t3-13t2 + 24t + 100.
(a) Find the velocity and the acceleration of the particle at t = 1.
(b) Find the times at which the particle comes to a rest.
2. Given the function f(x) = x² + 12x.
(a) Find the average rate of change as x changes from 3 to 5.
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