Question

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.

Answer #1

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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 extremum of f(x,y) subject to the given constraint,
and state whether it is a maximum or a
minimum.f(x,y,z)=x^2+y^2+z^2;2x+4y-4z=9.

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,z)=x^2+y^2+z^2;x+3y-4z=26.

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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.)

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= 6

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subject to the constraint (x^2)+5(y^2) = 25.

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2x2+y2+2xy+3x+2y; y^2=x+1

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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) = (_____,____)

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