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A rectangular box of length x, width y, and height z has a surface are of 700 cm². Set- up the Lagrange equations that will give the dimension of the box that will maximize the volume of the box. O yz = A (2y + 2z+ 700) xz = X(2x + 2x + 700) xy = X(2x + 2y + 700) 2xy + 2yz + 2xz = 700 yz = 2X (y+z) x2 = 2X(x + 2) xy=2\(2 +y) xy+yz+xz = 350 yz = A (2y + 2z - 700) xz = X(2x + 2x - 700) xy = X(2x + 2y - 700) 2xy + 2yz + 2xz = 700 yz = (y +z = 350) xz = x(x + z- 350) xy = x(x + y − 350) 2xy + 2yz + 2xz = 350 о O O O All of the above O None of the above

A rectangular box of length x, width y, and height z has a surface are of 700 cm². Set- up the Lagrange equations that will give the dimension of the box that will maximize the volume of the box. O yz = A (2y + 2z+ 700) xz = X(2x + 2x + 700) xy = X(2x + 2y + 700) 2xy + 2yz + 2xz = 700 yz = 2X (y+z) x2 = 2X(x + 2) xy=2\(2 +y) xy+yz+xz = 350 yz = A (2y + 2z - 700) xz = X(2x + 2x - 700) xy = X(2x + 2y - 700) 2xy + 2yz + 2xz = 700 yz = (y +z = 350) xz = x(x + z- 350) xy = x(x + y − 350) 2xy + 2yz + 2xz = 350 о O O O All of the above O None of the above

Calculus: Early Transcendentals
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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A rectangular box of length x, width Y, and height z has a surface are of 700 cm². Set- up the Lagrange equations that will give the dimension of the box that will maximize the volume of the box. O yz = A (2y + 2x + 700) x2 = A(2x + 2x + 700) xy = A(2x + 2y + 700) 2xy + 2yz + 2xz = 700 yz = 2X (y+z) xz = 2x(x + 2) xy=2X(x + y) xy+yz + xz = 350 yz = λ (2y + 2z - 700) X(2x + 2x - 700) XZ = xy = X(2x + 2y - 700) 2xy + 2yz + 2xz = 700 yz = (y +z - 350) xz = x(x + z- 350) xy = x(x + y − 350) 2xy + 2yz + 2xz = 350 O O O O All of the above O None of the above
Transcribed Image Text:A rectangular box of length x, width Y, and height z has a surface are of 700 cm². Set- up the Lagrange equations that will give the dimension of the box that will maximize the volume of the box. O yz = A (2y + 2x + 700) x2 = A(2x + 2x + 700) xy = A(2x + 2y + 700) 2xy + 2yz + 2xz = 700 yz = 2X (y+z) xz = 2x(x + 2) xy=2X(x + y) xy+yz + xz = 350 yz = λ (2y + 2z - 700) X(2x + 2x - 700) XZ = xy = X(2x + 2y - 700) 2xy + 2yz + 2xz = 700 yz = (y +z - 350) xz = x(x + z- 350) xy = x(x + y − 350) 2xy + 2yz + 2xz = 350 O O O O All of the above O None of the above
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