Geometry A rectangular package to be sent by a delivery service (see figure) has a combined length and girth (perimeter of a cross section) of 120 inches. (a) Use the diagram to write the volume V of the package as a function of x . (b) Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume. (c) Find values of x such that V = 13 , 500 . Which of these values is a physical impossibility in the construction of the package? Explain.
Geometry A rectangular package to be sent by a delivery service (see figure) has a combined length and girth (perimeter of a cross section) of 120 inches. (a) Use the diagram to write the volume V of the package as a function of x . (b) Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume. (c) Find values of x such that V = 13 , 500 . Which of these values is a physical impossibility in the construction of the package? Explain.
Solution Summary: The author analyzes the volume of a cuboid with dimensions l,w,h as length, width, and height respectively.
Geometry A rectangular package to be sent by a delivery service (see figure) has a combined length and girth (perimeter of a cross section) of 120 inches.
(a) Use the diagram to write the volume
V
of the package as a function of
x
.
(b) Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume.
(c) Find values of
x
such that
V
=
13
,
500
. Which of these values is a physical impossibility in the construction of the package? Explain.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
Explain the following terms
Chapter 3 Solutions
College Algebra Real Mathematics Real People Edition 7
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