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83. Find the maximum possible area A of a trapezoid inscribed in a semicircle of radius 1, as shown in Fig. 3.7.17. Begin by expressing A as a function of the angle shown there.

83. Find the maximum possible area A of a trapezoid inscribed in a semicircle of radius 1, as shown in Fig. 3.7.17. Begin by expressing A as a function of the angle shown there.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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R/2 8 FIGURE 3.7.17 A trapezoid inscribed in a semicircle (Problem 83). per must cut a six-sided beam from a circular log that its cross section is as shown in
Transcribed Image Text:R/2 8 FIGURE 3.7.17 A trapezoid inscribed in a semicircle (Problem 83). per must cut a six-sided beam from a circular log that its cross section is as shown in
83. Find the maximum possible area A of a trapezoid inscribed in a semicircle of radius 1, as shown in Fig. 3.7.17. Begin by expressing A as a function of the angle shown there.
Transcribed Image Text:83. Find the maximum possible area A of a trapezoid inscribed in a semicircle of radius 1, as shown in Fig. 3.7.17. Begin by expressing A as a function of the angle shown there.
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