Question

Use the method of Lagrange multipliers to find the maximum value of f subject to the given constraint. f(x,y)=−3x^2−4y^2+4xy, subject to 3x+4y+528=0

Answer #1

Use the method of Lagrange multipliers to find the maximum value
of f(x,y) = xy subject to the constraint x^2=y^2=7 (you may assume
that the extremum exists)

Use Lagrange multipliers to find both the maximum and minimum of
the function f(x, y) = 3x + 4y subject to the constraint that the
point be on the circle x 2 + y 2 = 100.

Use the method of Lagrange Multipliers to find the extreme
value(s) of f(x, y) = 3x + 2y subject to the constraint y = 3x ^2 .
Identify the extremum/extrema as maximum or minimum.

Use the method of Lagrange Multipliers to find the maximum
value:
f(x,y,z) = x2y2z2 subject to
the constraint x2+y2+z2=1 no
decimals permitted

Use Lagrange Multipliers to find both the maximum and minimum
values of f(x, y) = 4xy subject to the constraint x^2 + y^2 =
2.

Use the method of Lagrange Multipliers to find the maximum value
of the function f(x,y)= x^3y^2 subject to the constraint
x^2+y^2=10.

1. Use the method of Lagrange multipliers to find the
maximize
of the function f (x, y) = 25-x^2-y^2 subject to the constraint
x + y =-1
2. Use the method of Lagrange multipliers to find the
minimum
of the function f (x, y) = y^2+6x subject to the constraint
y-2x= 0

Use the Lagrange Multipliers method to find the maximum and
minimum values of f(x,y) = xy + xz subject to the constraint x2 +y2
+ z2 = 4.

Use the lagrange multipliers to find the maximum or minimum
value if it exist F(x,y) -xyz subject to the constraint x+y+z=3

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

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