A rectangular closed box with square base is to have a capacity of 64 cu. in. We want to determine the least amount of material to dA be used. If we let A be the surface area, x be a side of the base, and y be the height of the box, what is ? dx dA 256 A = 4x - dx x2 dA = 4 + dx 512 B x3 dA 256 2x dx x2 dA 256 = 4x + x2 dx

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...
icon
Related questions
Question
A rectangular closed box with square base is to have a capacity of 64 cu. in. We want to determine the least amount of material to
dA
be used. If we let A be the surface area, x be a side of the base, and y be the height of the box, what is
?
dx
dA
256
A
= 4x -
dx
dA
= 4 +
dx
512
B
x3
dA
256
= 2x
dx
x2
dA
= 4x +
dx
256
D
x2
Transcribed Image Text:A rectangular closed box with square base is to have a capacity of 64 cu. in. We want to determine the least amount of material to dA be used. If we let A be the surface area, x be a side of the base, and y be the height of the box, what is ? dx dA 256 A = 4x - dx dA = 4 + dx 512 B x3 dA 256 = 2x dx x2 dA = 4x + dx 256 D x2
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning