A rectangle is constructed with its base on the diameter of a semicircle with radius 18 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum​ area? Let A be the area of the rectangle. What is the objective function in terms of the base of the​ rectangle, x? The interval of interest of the objective function is? The rectangle with maximum area has base  (enter your response here) and height (enter your response here)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 36E
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A rectangle is constructed with its base on the diameter of a semicircle with radius 18 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum​ area?

Let A be the area of the rectangle. What is the objective function in terms of the base of the​ rectangle, x?

The interval of interest of the objective function is?

The rectangle with maximum area has base  (enter your response here) and height (enter your response here)

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