The post office will accept packages whose combined length and girth are at most 130 inches (girth is the maximum distance around the package perpendicular to the length). What is the largest volume that can be sent in a rectangular box? | Numerade
The post office will accept packages whose combined length and girth …
Nov 23, 2023
numerade.com
A rectangular package sent by a delivery service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches (see figure). (a) Show that the volume of the package is given by the function V(x)=4 x^2(30-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. | Nu
A rectangular package sent by a delivery service can have a maxim…
Aug 7, 2020
numerade.com
A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package with maximum volume. Assume that the package's dimensions are x by x by y (see figure). | Numerade
A rectangular package to be sent by a postal service can have a maxim…
Dec 16, 2020
numerade.com
mailing service places limit of 90 in on the combined length and girth of distance around package to be sent parcel post what dimensions of rectangular box with square cross section will con 96673
mailing service places limit of 90 in on the combined length and girth …
Mar 21, 2022
numerade.com
Mailing a Package The post office will accept only packages for which the length plus the "girth" (distance around) is no more than 108 in. Thus for the package in the figure, we must have L 2(x y) ≤108 (a) Will the post office accept a package that is 6 in. wide, 8 in. deep, and 5 ft long? What about a package that measures 2 ft by 2 ft by 4 ft ? (b) What is the greatest acceptable length for a package that has a square base measuring 9 in. by 9 in.? | Numerade
Mailing a Package The post office will accept only packages for whic…
May 30, 2020
numerade.com
A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches (see figure). Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.) | Numerade
A rectangular package to be sent by a postal service can have a maxim…
Dec 3, 2020
numerade.com
A rectangular package to be sent by a delivery service (see figure) can have a maximum combined length and girth (perimeter of a cross section) of 120 inches. (a) Write a function V(x) that represents the volume of the package. (b) Use a graphing utility to graph the function and approximate the dimensions of the package that will 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. | Nu
A rectangular package to be sent by a delivery service (see figure) can …
Feb 27, 2019
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