According to postal regulations, a carton is classified as oversized if the sum of its height and girth (perimeter of its base) exceeds 108 in. Find the dimensions of a carton with a rectangular base that maximizes volume and has a length that is twice the width. Let W, L, and H, represent the width, length, and height of the carton, respectively.
According to postal regulations, a carton is classified as oversized if the sum of its height and girth (perimeter of its base) exceeds 108 in. Find the dimensions of a carton with a rectangular base that maximizes volume and has a length that is twice the width. Let W, L, and H, represent the width, length, and height of the carton, respectively.
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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![Consider lim [(cos(x) + 6x)(7 sin(x))] , which leads to the
indeterminate form 10.
Set y =
(cos(x) + 6x)7 sin(x)) and use L'Hôpital's Rule to
1/(7
find lim In(y) = lim In [(cos(x) + 6x)«7 sin(3))].
1/(7
x→0
lim In [(cos(x) + 6x)(7 sin(x))]
x→0
Use the result to find the limit
lim y = lim [(cos(x) + 6x)(7 sin(x))].
x→0
lim (cos(x) + 6x)7 sin(x))]
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd5995a-c4b2-468d-a13c-4876a73e2cf6%2Fbb5ce8fe-eacb-4b5e-a458-2861147548fc%2F50mxf25_processed.png&w=3840&q=75)
Transcribed Image Text:Consider lim [(cos(x) + 6x)(7 sin(x))] , which leads to the
indeterminate form 10.
Set y =
(cos(x) + 6x)7 sin(x)) and use L'Hôpital's Rule to
1/(7
find lim In(y) = lim In [(cos(x) + 6x)«7 sin(3))].
1/(7
x→0
lim In [(cos(x) + 6x)(7 sin(x))]
x→0
Use the result to find the limit
lim y = lim [(cos(x) + 6x)(7 sin(x))].
x→0
lim (cos(x) + 6x)7 sin(x))]
=
![According to postal regulations, a carton is classified as oversized if the sum of its height and girth (perimeter of its base)
exceeds 108 in. Find the dimensions of a carton with a rectangular base that maximizes volume and has a length that is twice
the width. Let W, L, and H, represent the width, length, and height of the carton, respectively.
W =
in
L =
in
H
36
in
What is the maximum volume?
Maximum Volume:
in?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd5995a-c4b2-468d-a13c-4876a73e2cf6%2Fbb5ce8fe-eacb-4b5e-a458-2861147548fc%2Fui9runr_processed.png&w=3840&q=75)
Transcribed Image Text:According to postal regulations, a carton is classified as oversized if the sum of its height and girth (perimeter of its base)
exceeds 108 in. Find the dimensions of a carton with a rectangular base that maximizes volume and has a length that is twice
the width. Let W, L, and H, represent the width, length, and height of the carton, respectively.
W =
in
L =
in
H
36
in
What is the maximum volume?
Maximum Volume:
in?
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