PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter 7.4, Problem 47E
Solution
a.
To prove: For any two real number values for
The statement has prove.
Given Information:
The function is defined as,
Calculation:
Consider the given function,
Solve the function for y .
As the slope of the line is constant. So for any two values of f , the line is parallel as the value of f will changed.
Therefore, the given statement has proved.
b.
To determine: The reason to moves the line further away from the origin as the value of f increase.
The y -intercept is
Given Information:
The function is defined as,
Explanation:
Consider the given function,
First, Draw the given line for
Increse the value of
It can be observed that as the value of f is increasing then the line is moving furhter away from the origin. As this is intercept of y . As the value of intercept is increase then the distance will increase btween line and origin.
Hence, the value of f increase then line moving further away from origin.
c.
To explain: The geometric explanation for the region of example 6 must contain a minimum and a maximum value for f .
The closest point from the origin where a line intersects the restrictions area gives the minimum value, while the furthest point gives the maximum value of the objective function.
Given Information:
The objective function and constraint are defined as,
And,
Calculation:
Consider the given information,
And,
Draw the constraints.
The line
The lines
Therefore, the required explanation given above.
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
Ch. 7.1 - Prob. 1QRCh. 7.1 - Prob. 2QRCh. 7.1 - Prob. 3QRCh. 7.1 - Prob. 4QRCh. 7.1 - Prob. 5QRCh. 7.1 - Prob. 6QRCh. 7.1 - Prob. 7QRCh. 7.1 - Prob. 8QRCh. 7.1 - Prob. 9QRCh. 7.1 - Prob. 10QR
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