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3 years ago

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Mr. Grant's credit card bill was $2,684.72. If he has already paid off $1,865.24 of the amount due, how much more does he have t

o pay?
A.
$817.48
B.
$819.48
C.
$821.41
D.
$822.48
E.
$825.41

1 answer:

ira [324]3 years ago

4 0

$819.48 is the answer

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Looks like $f(x,y)=x^2+y^2-x^2y+7$ .

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$H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}$

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Now consider each boundary:

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If $x=-1$ , then

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which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

If $y=-1$ , then

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Hence $f(x,y)$ has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

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