A rectangular box of length x, width Y, andheight z has a surface are of 700 cm². Set-up the Lagrange equations that will givethe dimension of the box that willmaximize the volume of the box.Oyz = A (2y + 2x + 700)x2 = A(2x + 2x + 700)xy = A(2x + 2y + 700)2xy + 2yz + 2xz = 700yz= 2X (y+z)xz = 2x(x + 2)xy=2X(x + y)xy+yz + xz = 350yz = λ (2y + 2z - 700)X(2x + 2x - 700)XZ =xy =X(2x + 2y - 700)2xy +2yz + 2xz = 700yz =(y +z - 350)xz =x(x + z- 350)xy = x(x + y − 350)2xy + 2yz + 2xz = 350OOOO All of the aboveO None of the above

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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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.1: Parabolas

Problem 36E

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