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Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of a rectangle with a semi-circle on top. She wants to use 10m of window casing for the perimeter of the window. The perimeter of the window is given by equation, P = 2x + 2r + ar, in which x is the height of the rectangular portion of the window in metres, and r is the radius of the semicircle in metres. a) What is the area formula for the window? b) What radius will yield a window with a maximum area?

Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of a rectangle with a semi-circle on top. She wants to use 10m of window casing for the perimeter of the window. The perimeter of the window is given by equation, P = 2x + 2r + ar, in which x is the height of the rectangular portion of the window in metres, and r is the radius of the semicircle in metres. a) What is the area formula for the window? b) What radius will yield a window with a maximum area?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of a rectangle with a semi-circle on top. She wants to use 10m of window casing for the perimeter of the window. The perimeter of the window is given by equation, P = 2x + 2r + ar, in which x is the height of the rectangular portion of the window in metres, and r is the radius of the semicircle in metres. a) What is the area formula for the window? b) What radius will yield a window with a maximum area?
Transcribed Image Text:Mikasa is designing a new home and wants to put in a Norman window, which is window in the shape of a rectangle with a semi-circle on top. She wants to use 10m of window casing for the perimeter of the window. The perimeter of the window is given by equation, P = 2x + 2r + ar, in which x is the height of the rectangular portion of the window in metres, and r is the radius of the semicircle in metres. a) What is the area formula for the window? b) What radius will yield a window with a maximum area?
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