Question

What are the values of x, y, and z? f(x,y,z) = 6x^2 * y+4y^2 * z+ 2z^2 * x + x - y -z

Answer 1

Answer:

• A rectangular box without a lid is to be made from 12 m2 of
• cardboard. Find the maximum volume of such a box.
• • Solution:
• let x,y and z are the length, width and height, respectively, of
• the box in meters.
• and V= xyz
• Constraint: g(x, y, z)= 2xz+ 2yz+ xy=12
• Using Lagrange multipliers,
• Vx
• = λgx Vy
• = λgy Vz
• = λgz 2xz+ 2yz+ xy=12
• which become

Answer 2

• Refer the attachment!!♡