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(c) A race track 400 m long is to be built around an area that is a rectangle with a semicircle, which has radius r, at each end, as shown in Figure Q1(c). Show that the area of the rectangle can be expressed as 4 = 400r – 27 r². Hence, find the open side, x, of the rectangle if the area of the rectangle is to be a maximum. -> Maximum area Figure Q1(c)

(c) A race track 400 m long is to be built around an area that is a rectangle with a semicircle, which has radius r, at each end, as shown in Figure Q1(c). Show that the area of the rectangle can be expressed as 4 = 400r – 27 r². Hence, find the open side, x, of the rectangle if the area of the rectangle is to be a maximum. -> Maximum area Figure Q1(c)

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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(c) A race track 400 m long is to be built around an area that is a rectangle with a semicircle, which has radius r, at each end, as shown in Figure Q1(c). Show that the area of the rectangle can be expressed as A=400r – 27r. Hence, find the open side, x, of the rectangle if the area of the rectangle is to be a maximum. Мaximum area Figure Q1(c)
Transcribed Image Text:(c) A race track 400 m long is to be built around an area that is a rectangle with a semicircle, which has radius r, at each end, as shown in Figure Q1(c). Show that the area of the rectangle can be expressed as A=400r – 27r. Hence, find the open side, x, of the rectangle if the area of the rectangle is to be a maximum. Мaximum area Figure Q1(c)
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