Concept explainers
(a)
To write: The equation of the circle that meets given conditions.
(a)
Answer to Problem 41E
Explanation of Solution
Given information: A rectangle is inscribed in a circle centered at the origin with diameter 12.
Calculation:
Diameter of 12 means a radius of 6.
So the required equation is:
(b)
To write: The dimensions of the rectangle in terms of x .
(b)
Answer to Problem 41E
Explanation of Solution
Given information: A rectangle is inscribed in a circle centered at the origin with diameter 12.
Calculation:
The dimensions of the rectangle would be that it is
Since,
The dimensions would be:
(c)
To write:A function
(c)
Answer to Problem 41E
Explanation of Solution
Given information: A rectangle is inscribed in a circle centered at the origin with diameter 12.
Calculation:
The area would be the sum of the area of 4 of the “boxes” from the 1st quadrant.
(d)
To graph: The function
(d)
Answer to Problem 41E
The graph
Explanation of Solution
Given information: A rectangle is inscribed in a circle centered at the origin with diameter 12.
Calculation:
(e)
To find: The value of x , to the nearest tenth, that maximizes the area of the rectangle. What is the maximum area of the rectangle?
(e)
Answer to Problem 41E
Explanation of Solution
Given information: A rectangle is inscribed in a circle centered at the origin with diameter 12.
Calculation:
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
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