$[(-)/(1)$ Points$]$

SCALC$914\mathrm{.}6\mathrm{.}023.$

Find the directional derivative of f$($x$,$y$)=\backslash$sqrt$($xy$)$ at P$(9,4)$ in the direction from P to Q$(12,0).$

D$\_($u$)$f$(9,4)=$

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$[(-)/(1)$ Points$]$

SCALC$914\mathrm{.}6\mathrm{.}029.$MI$.$

Find the maximum rate of change of f at the given point and the direction in which it occurs.

f$($x$,$y$)=8$sin$($xy$),(0,8)$

maximum rate of change

direction vector

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$[(-)/(1)$ Points$]$

SCALC$914\mathrm{.}6\mathrm{.}051.$

Find equations of the tangent plane and the normal line to the given surface at the specified point.

x$+$y$+$z$=3$e$^($xyz$),(0,0,3)$

$($a$)$ the tangent plane

$($b$)$ the normal line

$($x$($t$),$y$($t$),$z$($t$))=(,)$

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