Set up the system of equations that are needed to be solved using Lagrange multipliers in...

Set up the system of equations that are needed to be solved using Lagrange multipliers in order to find the dimensions of the rectangular box with an open-top, having volume 4000 m^3 with a minimal surface area.

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milcah answered 2 years ago

Use Lagrange multipliers to find the point on the given plane that is closest to the...

Use Lagrange multipliers to find the point on the given plane that is closest to the following point. x − y + z = 6; (2, 7, 3)

Using the methods of Lagrange multipliers, find out the point on the plane 2x+y-2z=5 closest to...

Using the methods of Lagrange multipliers, find out the point on the plane 2x+y-2z=5 closest to the origin. Please show all work.

Construct the Lagrange and Hamilton functions and the Lagrange equations for a pendulum consisting of a...

Construct the Lagrange and Hamilton functions and the Lagrange equations for a pendulum consisting of a mass m suspended on a weightless inextensible thread, coiled to a fixed horizontal cylinder of radius R . The length of the thread in the equilibrium position is equal to l.

Use Lagrange multipliers to find the point on the plane 2x + y + 2z =...

Use Lagrange multipliers to find the point on the plane 2x + y + 2z = 6 which is closest to the origin

Use the method of Lagrange multipliers to find the absolute maximum and minimum values of the...

Use the method of Lagrange multipliers to find the absolute maximum and minimum values of the function f(x, y, z) = x^2yz^2 subject to the constraint 2x ^2 + 3y^ 2 + 6z^ 2 = 33

2.) Use the method of Lagrange multipliers to find the maximum and minimum values of the...

2.) Use the method of Lagrange multipliers to find the maximum and minimum values of the function ?(?, ?) = ??^2 − 2??^2 given the constraint ?^2 + ?^2 = 2 along with evaluating the critical points of the function, find the absolute extrema of the function ?(?, ?) = ??^2 − 2??^2 in the region ? = {(?, ?)|?^2 + ?^2 ≤ 2}.

use the method of Lagrange multipliers to find the absolute maximum and minimum values of the...

use the method of Lagrange multipliers to find the absolute maximum and minimum values of the function subject to the given constraints f(x,y)=x^2+y^2-2x-2y on the region x^2+y^2≤9 and y≥0

A system of differential equations solved by the Laplace transform has led to the following system:...

A system of differential equations solved by the Laplace transform has led to the following system: (s-3) X(s) +6Y(s) = 3/s X(s) + (s-8)Y(s) = 0 Obtain the subsidiary equations and then apply the inverse transform to determine x (1)

use Lagrange multipliers to find the maximum and minimum values of f subject to the given...

use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint, if such values exist. f(x, y, z) = xyz, x2 + y2 + 4z2 = 12

SET UP BUT DO NOT SOLVE the following system of linear equations: A company sells three...

SET UP BUT DO NOT SOLVE the following system of linear equations: A company sells three sizes of fruit trays. The small size contains 200 gr of watermelons and 100 gr of grapes. The medium size contains 400 gr of watermelons, 100 gr of pineapples, and 300 gr of grapes. The large size contains 600 gr of watermelons, 200 gr of pineapples, and 400 gr of grapes. Suppose that the company receives an order for 28 kg of watermelons, 6...

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