Concept explainers
(a)
To express: the area
(a)
Answer to Problem 73RE
The function is
Explanation of Solution
Given information:
A page with dimensions of
Calculation:
As by given figure, it’s obvious that the width of the inside printed rectangular portion can be obtained by subtraction twice from the original width of whole page as
So the width of the printed area =
Similarly the length of the printed area =
Now as,
Are of printed rectangular = length
Now, on using FOIL rule,
So, the function is
(b)
To find: the domain and the range of
(b)
Answer to Problem 73RE
The Domain of the given function =
The range of printed page =
Explanation of Solution
Given information:
A page with dimensions of
Calculation:
As area is always positive so
Now on using
Now on taking + sign,
Now on taking (-) sign,
So, the Domain of the given function =
It’s clear that the minimum area of printed page would be zero and maximum area would be equal to the dimension of its full length and width that is,
So, the range of printed page =
(c)
To find: the area of the printed page for borders of widths 1 inch, 1.2 inches, and 1.5 inches.
(c)
Answer to Problem 73RE
Explanation of Solution
Given information:
A page with dimensions of
Calculation:
Now at width
So,
When width
So,
When width
So,
(d)
To sketch: the graph of the function
(d)
Explanation of Solution
Given information:
A page with dimensions of
Calculation:
The graph of the quadratic equation, which is a parabola, showing area i.e
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
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