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A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation of the semi-circle is y = v16 – x2. Determine the exact dimensions of the rectangle with maximum area. Please verify with FDT, and state the exact area of the rectangle.

A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation of the semi-circle is y = v16 – x2. Determine the exact dimensions of the rectangle with maximum area. Please verify with FDT, and state the exact area of the rectangle.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 15P
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18. A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation of the semi-circle is y = v16 – x² . Determine the exact dimensions of the rectangle with maximum area. Please verify with FDT, and state the exact area of the rectangle.
Transcribed Image Text:18. A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation of the semi-circle is y = v16 – x² . Determine the exact dimensions of the rectangle with maximum area. Please verify with FDT, and state the exact area of the rectangle.
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