7. The figure shows a rectangle drawn inside the region, in the first quadrant, enclosed by the r-axis, th y-axis and the graph of y = 7- 2r. The right vertical side of the rectangle passes through the poin (z,0) as shown in the figure. Rectangle (a) Explain why the area A(r) of the rectangle must be A(x) = 7r-2r? (b) What is the largest possible area of such a rectangle? Write down the steps leading to you answer.

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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7. The figure shows a rectangle drawn inside the region, in the first quadrant, enclosed by the r-axis, the
y-axis and the graph of y = 7– 2x. The right vertical side of the rectangle passes through the point
(r, 0) as shown in the figure.
Rectangle
(a) Explain why the area A(a) of the rectangle must be A(r) = 7x-2.r?
1)
(b) What is the largest possible area of such a rectangle? Write down the steps leading to your
answer.
Transcribed Image Text:7. The figure shows a rectangle drawn inside the region, in the first quadrant, enclosed by the r-axis, the y-axis and the graph of y = 7– 2x. The right vertical side of the rectangle passes through the point (r, 0) as shown in the figure. Rectangle (a) Explain why the area A(a) of the rectangle must be A(r) = 7x-2.r? 1) (b) What is the largest possible area of such a rectangle? Write down the steps leading to your answer.
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