Question

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.)

Answer #1

Find the indicated maximum or minimum value of f subject to the
given constraint. Minimum : f(x,y)=
2x2+y2+2xy+3x+2y; y^2=x+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

The function f(x,y)=4x-4y has an absolute maximum value and
absolute minimum value subject to the constraint x^2-xy+y^2=9. Use
Lagrange multipliers to find these values.

Use Lagrange multipliers to find the maximum and minimum values
of
f(x,y)=xy
subject to the constraint 25x^2+y^2=200
if such values exist.
Enter the exact answers. Which is global maximum/global minimum?
Enter NA in the appropriate answer area if these do not apply.

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)=---

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) = (_____,____)

Find the maximum and minimum values of the function
f(x,y,z)=x2y2z2 subject to the constraint x2+y2+z2=361.
Maximum value is:........... , occuring at ...............
points (positive integer or "infinitely many"). Minimum value is
........................ , occuring at ..................... points
(positive integer or "infinitely many").
Please fill in the blanks

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)=4y^2-12x^2;
2x+y=8.

Find the maximum value of the function f(x,y) = 2x - 5(y^2)
subject to the constraint (x^2)+5(y^2) = 25.

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

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