. Geometry A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2, 1), as shown in the figure. Write the area A of the triangle as a function of x and determine the domain of the function. 3 y I ((0, y) 2- 1 2 (2, 1) (x, 0) 3 + 4 X
. Geometry A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2, 1), as shown in the figure. Write the area A of the triangle as a function of x and determine the domain of the function. 3 y I ((0, y) 2- 1 2 (2, 1) (x, 0) 3 + 4 X
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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Transcribed Image Text:76. Geometry A rectangular package to be sent by the
U.S. Postal Service can have a maximum combined
length and girth (perimeter of a cross section) of 108
inches. (See figure.)
ما
KX
(a) Write the volume V of the package as a function of
x. What is the domain of the function?
(b) Use a graphing utility to graph the function. Be sure
to use an appropriate viewing window.
(c) What dimensions will maximize the volume of the
package? Explain.

Transcribed Image Text:. Geometry A right triangle is formed in the first
quadrant by the x- and y-axes and a line through the
point (2, 1), as shown in the figure. Write the area A of
the triangle as a function of x and determine the domain
of the function.
4 (0, y)
3
2
y
1
2
(2, 1)
(x, 0)
3
+
4
X
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