A rectangle is inscribed in a circle of radius 5 (see the figure). Let P = (x,y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. Answer the following questions. (a) Express the area A of the rectangle as a function of x. 10- A(x) = 4xV 25-x P = (x,y) (b) Express the perimeter p of the rectangle as a function of x. p(x) = 4x+ 4/25 – x? -10 10 (c) Graph A = A(x). For what value of x is A largest? x? + y? = 25 (Use the MAXIMUM function. Round to two decimal places.) -10-

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
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A rectangle is inscribed in a circle of radius 5 (see the figure). Let P = (x,y) be the point in quadrant I that is a vertex of
the rectangle and is on the circle.
Answer the following questions.
(a) Express the area A of the rectangle as a function of x.
10-
A(x) = 4xV 25-x
P = (x,y)
(b) Express the perimeter p of the rectangle as a function of x.
p(x) = 4x+ 4/25 – x?
-10
10
(c) Graph A = A(x). For what value of x is A largest?
x? + y? = 25
(Use the MAXIMUM function. Round to two decimal places.)
-10-
Transcribed Image Text:A rectangle is inscribed in a circle of radius 5 (see the figure). Let P = (x,y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. Answer the following questions. (a) Express the area A of the rectangle as a function of x. 10- A(x) = 4xV 25-x P = (x,y) (b) Express the perimeter p of the rectangle as a function of x. p(x) = 4x+ 4/25 – x? -10 10 (c) Graph A = A(x). For what value of x is A largest? x? + y? = 25 (Use the MAXIMUM function. Round to two decimal places.) -10-
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