The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 22 units long. (a) Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) (b) Express the area of the rectangle in terms of x. (c) What is the largest area the rectangle can have, and what are its dimensions? P(x,?) -11 11
The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 22 units long. (a) Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.) (b) Express the area of the rectangle in terms of x. (c) What is the largest area the rectangle can have, and what are its dimensions? P(x,?) -11 11
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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![The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 22 units long.
(a) Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.)
(b) Express the area of the rectangle in terms of x.
(c) What is the largest area the rectangle can have, and what are its dimensions?
P(x,?)
A
-11
11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8084badb-1caf-4ac3-abaa-e998705ca4db%2Fe293c400-b300-475b-a19d-404e5ab82d12%2Feiz1ge_processed.png&w=3840&q=75)
Transcribed Image Text:The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 22 units long.
(a) Express the y-coordinate of P in terms of x. (Hint: Write an equation for the line AB.)
(b) Express the area of the rectangle in terms of x.
(c) What is the largest area the rectangle can have, and what are its dimensions?
P(x,?)
A
-11
11
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