Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 10.7, Problem 48E
(a)
To determine
To graph: the model of the given cam.
(a)
Expert Solution
Answer to Problem 48E
The graph is an ellipse.
Explanation of Solution
Given:
Concept used:
The graph of the equation can plot using Desmos graphing calculator.
Calculation:
Consider the cam in a punch press shaped like an ellipse, with the equation:
The camshaft goes through the focus on the positive axis.
To graph the model of the cam as:
Hence, the graph is an ellipse.
(b)
To determine
To find: Theequation of the model when the camshaft is at the origin.
(b)
Expert Solution
Answer to Problem 48E
The equation of the translates the model is
Explanation of Solution
Given:
Concept used:
The equation of ellipse:
Calculation:
the same picture in the other graphing calculator is:
Hence, The equation of the translates the model is
(c)
To determine
To find:the equation of the model in part
(c)
Expert Solution
Answer to Problem 48E
Explanation of Solution
Given:
Concept used:
The equation of ellipse:
Calculation:
The equation that translated the model so, that the cam shaft is at origin is:
Hence, the equation is
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Ch. 10.1 - Prob. 1CFUCh. 10.1 - Prob. 2CFUCh. 10.1 - Prob. 3CFUCh. 10.1 - Prob. 4CFUCh. 10.1 - Prob. 5CFUCh. 10.1 - Prob. 6CFUCh. 10.1 - Prob. 7CFUCh. 10.1 - Prob. 8CFUCh. 10.1 - Prob. 9CFUCh. 10.1 - Prob. 10CFU
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