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A rectangle that is x feet wide is inscribed in a circle of radius 10 ft. a) Express the area of the rectangle as a function of x. b) Find the domain of the function. c) Graph the function with a graphing calculator. d) What dimensions maximize the area of the rectangle? a) Express the area of the rectangle as a function of x. A(x)= (Simplify your answer.) A

A rectangle that is x feet wide is inscribed in a circle of radius 10 ft. a) Express the area of the rectangle as a function of x. b) Find the domain of the function. c) Graph the function with a graphing calculator. d) What dimensions maximize the area of the rectangle? a) Express the area of the rectangle as a function of x. A(x)= (Simplify your answer.) A

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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A rectangle that is x feet wide is inscribed in a circle of radius 10 ft. a) Express the area of the rectangle as a function of x. b) Find the domain of the function. c) Graph the function with a graphing calculator. d) What dimensions maximize the area of the rectangle? a) Express the area of the rectangle as a function of x. A(x)= (Simplify your answer.) 2 ▪▪▪ 16
Transcribed Image Text:A rectangle that is x feet wide is inscribed in a circle of radius 10 ft. a) Express the area of the rectangle as a function of x. b) Find the domain of the function. c) Graph the function with a graphing calculator. d) What dimensions maximize the area of the rectangle? a) Express the area of the rectangle as a function of x. A(x)= (Simplify your answer.) 2 ▪▪▪ 16
A rectangle that is x feet wide is inscribed in a circle of radius 10 ft. a) Express the area of the rectangle as a function of x. b) Find the domain of the function. c) Graph the function with a graphing calculator. d) What dimensions maximize the area of the rectangle? a) Express the area of the rectangle as a function of x. A(x)= (Simplify your answer.) 2 ▪▪▪ 16
Transcribed Image Text:A rectangle that is x feet wide is inscribed in a circle of radius 10 ft. a) Express the area of the rectangle as a function of x. b) Find the domain of the function. c) Graph the function with a graphing calculator. d) What dimensions maximize the area of the rectangle? a) Express the area of the rectangle as a function of x. A(x)= (Simplify your answer.) 2 ▪▪▪ 16
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