112. Largest Area A rectangle is to be inscribed in a semicircle of radius 5 cm as shown in the following figure. (a) Show that the area of the rectangle is modeled by the function A(8) = 25 sin 20 (b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that sin u achieves its maximum value at u = 1/2.] (c) Find the dimensions of the inscribed rectangle with the largest possible area. -5 cm-
112. Largest Area A rectangle is to be inscribed in a semicircle of radius 5 cm as shown in the following figure. (a) Show that the area of the rectangle is modeled by the function A(8) = 25 sin 20 (b) Find the largest possible area for such an inscribed rectangle. [Hint: Use the fact that sin u achieves its maximum value at u = 1/2.] (c) Find the dimensions of the inscribed rectangle with the largest possible area. -5 cm-
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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![112. Largest Area A rectangle is to be inscribed in a semicircle
of radius 5 cm as shown in the following figure.
(a) Show that the area of the rectangle is modeled by the
function
A(8) = 25 sin 20
(b) Find the largest possible area for such an inscribed
rectangle. [Hint: Use the fact that sin u achieves its
maximum value at u = 1/2.]
(c) Find the dimensions of the inscribed rectangle with the
largest possible area.
-5 cm-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F526905eb-1cac-4a84-9bf3-aff99fa5aa81%2Ff5558045-2a86-4a20-a496-9732bc561984%2Fxp817pv_processed.png&w=3840&q=75)
Transcribed Image Text:112. Largest Area A rectangle is to be inscribed in a semicircle
of radius 5 cm as shown in the following figure.
(a) Show that the area of the rectangle is modeled by the
function
A(8) = 25 sin 20
(b) Find the largest possible area for such an inscribed
rectangle. [Hint: Use the fact that sin u achieves its
maximum value at u = 1/2.]
(c) Find the dimensions of the inscribed rectangle with the
largest possible area.
-5 cm-
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