Precalculus: Mathematics for Calculus - 6th Edition
6th Edition
ISBN: 9780840068071
Author: Stewart, James, Redlin, Lothar, Watson, Saleem
Publisher: Cengage Learning
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Chapter 13.3, Problem 36E
a.
To determine
To estimate : What was the initial velocity of the car.
a.
Expert Solution
Answer to Problem 36E
The initial velocity is zero.
Explanation of Solution
Given information:
The graph shows the position function of a car. Use the shape of the graph to explain.
Calculation :
The velocity of a car at point
Since, the body started from rest. Therefore, the initial velocity is zero.
Hence,
The initial velocity is zero.
b.
To determine
To estimate : The car was going faster at B or at C.
b.
Expert Solution
Answer to Problem 36E
The car was going faster at point C.
Explanation of Solution
Given information:
The graph shows the position function of a car. Use the shape of the graph to explain.
Calculation :
The velocity of a car at point
Since, the slope of the tangent at point C is greater than the slope of tangent at B. Therefore, the card was going faster at C
Hence,
The car was going faster at point C.
c.
To determine
To estimate : The car was slowing down or speeding up at point A, B and C.
c.
Expert Solution
Answer to Problem 36E
The car was speeding up at A, slowing down at B and again speeding up at C.
Explanation of Solution
Given information:
The graph shows the position function of a car. Use the shape of the graph to explain.
Calculation :
The velocity of a car at point
Since, the slope of the tangent at point A is greater, therefore the car was speeding up at point A.
The slope at point B is smaller, therefore the car was slowing down at point B and again the slope at point C is greater, therefore the car again speed up at point C.
Hence,
The car was speeding up at A, slowing down at B and again speeding up at C.
d.
To determine
To estimate : What happened between point D and E.
d.
Expert Solution
Answer to Problem 36E
The velocity of the car was constant between D and E.
Explanation of Solution
Given information:
The graph shows the position function of a car. Use the shape of the graph to explain.
Calculation :
The velocity of a car at point
Since, the slope between D and E is zero. Therefore, the velocity of the car was constant between D and E.
Hence,
The velocity of the car was constant between D and E.
Chapter 13 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
Ch. 13.1 - When we write limxaf(x)=L then, roughly speaking,...Ch. 13.1 - We write limxaf(x)=L and say that the ______ of...Ch. 13.1 - Prob. 3ECh. 13.1 - Prob. 4ECh. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10E
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To...Ch. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Prob. 22ECh. 13 - Prob. 1RCCCh. 13 - Prob. 2RCCCh. 13 - Prob. 3RCCCh. 13 - Prob. 4RCCCh. 13 - Prob. 5RCCCh. 13 - Prob. 6RCCCh. 13 - Prob. 7RCCCh. 13 - Prob. 8RCCCh. 13 - Prob. 9RCCCh. 13 - Prob. 10RCCCh. 13 - Prob. 11RCCCh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - Prob. 43RECh. 13 - Prob. 44RECh. 13 - Prob. 45RECh. 13 - Prob. 46RECh. 13 - Prob. 47RECh. 13 - Prob. 48RECh. 13 - Prob. 1TCh. 13 - For the piecewise-defined function f whose graph...Ch. 13 - Prob. 3TCh. 13 - Prob. 4TCh. 13 - Prob. 5TCh. 13 - Prob. 6TCh. 13 - Prob. 7TCh. 13 - Work Done by a Winch A motorized winch is being...Ch. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 1CRTCh. 13 - Prob. 2CRTCh. 13 - Prob. 3CRTCh. 13 - Prob. 4CRTCh. 13 - Prob. 5CRTCh. 13 - Prob. 6CRTCh. 13 - Prob. 7CRTCh. 13 - Prob. 8CRTCh. 13 - Prob. 9CRTCh. 13 - Prob. 10CRT
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