-17 P(X?) A X X 17 The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 34 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? (a) The expression for the y-coordinate of P is ☐ (Type an expression using x as the variable.) (b) The expression for the area of the rectangle is ☐ (Type an expression using x as the variable) (c) The largest area the rectangle can have is square units (Type an integer or a simplified fraction.) What are the dimensions of the rectangle having the largest area? OA 17 units 17 OB *34 units Oc. 17x34 units

Calculus: Early Transcendentals
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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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-17
P(X?)
A X
X 17
Transcribed Image Text:-17 P(X?) A X X 17
The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 34 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?
(a) The expression for the y-coordinate of P is ☐
(Type an expression using x as the variable.)
(b) The expression for the area of the rectangle is ☐
(Type an expression using x as the variable)
(c) The largest area the rectangle can have is square units
(Type an integer or a simplified fraction.)
What are the dimensions of the rectangle having the largest area?
OA
17
units
17
OB
*34 units
Oc. 17x34 units
Transcribed Image Text:The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 34 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? (a) The expression for the y-coordinate of P is ☐ (Type an expression using x as the variable.) (b) The expression for the area of the rectangle is ☐ (Type an expression using x as the variable) (c) The largest area the rectangle can have is square units (Type an integer or a simplified fraction.) What are the dimensions of the rectangle having the largest area? OA 17 units 17 OB *34 units Oc. 17x34 units
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