Question

Find the indicated maximum or minimum value of f subject to the
given constraint. Minimum : f(x,y)=
2x^{2}+y^{2}+2xy+3x+2y; y^2=x+1

Answer #1

Find the indicated maximum or minimum value of f subject to the
given constraint. Maximum: f(x,y,z) = (x2)(y2)(z2); x2 + y2 + z2
= 6

Find the indicated maximum or minimum value of f subject to the
given constraint.
Minimum: f(x,y)=2 x^2 + y ^2 + 2 xy + 3 x + 2 y
; y^2 = x + 1
The minimum value is -------------.
(Type an integer or a simplified fraction.)

Find the maximum and minimum values of the following function,
subject to the given constraint. Maximize and minimize the function
f(x, y) = xy2 subject to the constraint x2 + y2 = 1.
maximum of ____at (x, y) = (____,_____)
minimum of _____ at (x, y) = (_____,____)

Use Lagrange multipliers to find the maximum and minimum values
of f(x,y)=4x3+y2 subject to the constraint 2x2+y2=1 also, find the
points at which these extreme values occur.

Find the maximum and minimum of the function f (x, y) = 6x − 2y
subject to the constraint . 3x^2 + y ^2 = 4

Find the extremum of f(x,y) subject to the given constraint,
and state whether it is a maximum or a minimum.
f(x,y)= 3x^2+4y^2-4xy; x+y=11
thwew is a (minimum/maximum) value of --- located at
(x,y)=---

Use Lagrange multipliers to find the maximum and minimum values
of f(x,y)=x2+5y
subject to the constraint x2-y2=3 , if
such values exist.
Maximum =
Minimum

Find the relative minimum value of
f(x,y)=4x2 +4y2 -2xy,
subject to the constraint
x+y=4.
The value is f(_,_)= _

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

Find the minimum and maximum values of the function
f(x,y)=x2+y2f(x,y)=x2+y2 subject to the given constraint
x4+y4=2x4+y4=2.
(The minimum is not not zero, DNE, or NONE, I have tried all of
those)

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