A rectangle has one corner in quadrant I on the graph of y=1-x², another at the origin, a third on the positive y-axis, and the fourth on the positive x-axis (see the figure). 2- -14 (x,y) y=1-x² G Answer the following questions. (a) Express the area A of the rectangle as a function of x A(x) = (Simplify your answer.) (b) What is the domain of A? domain= (Type your answer in interval notation.) (c) Graph A = A(x). For what value of x is A largest? *~ (Round to two decimal places as needed.)
A rectangle has one corner in quadrant I on the graph of y=1-x², another at the origin, a third on the positive y-axis, and the fourth on the positive x-axis (see the figure). 2- -14 (x,y) y=1-x² G Answer the following questions. (a) Express the area A of the rectangle as a function of x A(x) = (Simplify your answer.) (b) What is the domain of A? domain= (Type your answer in interval notation.) (c) Graph A = A(x). For what value of x is A largest? *~ (Round to two decimal places as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A rectangle has one corner in quadrant I on the graph of y=1-x², another at the
origin, a third on the positive y-axis, and the fourth on the positive x-axis (see the
figure).
H
-14
(x,y)
y=1-x²
Q Search
Q
1
O
D
S
Answer the following questions.
(a) Express the area A of the rectangle as a function of x.
A(x)=
(Simplify your answer.)
(b) What is the domain of A?
domain=
(Type your answer in interval notation.)
(c) Graph A = A(x). For what value of x is A largest?
X≈
(Round to two decimal places as needed.)
dx
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