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Undergraduate
Calculus
Calculus Of Variations
f ( x , y ) = xy , P ( 1
Undergraduate
f ( x , y ) = xy , P ( 1 , 1 ) , u = 2 / 2 , 2 / 2
f
(
x
,
y
)
=
xy
,
P
(
1
,
1
)
,
u
=
2
/
2
,
2
/
2
.
For the following exercises, find the directional derivative of the function at point P in the direction of u or v as appropriate.
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1
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Differential Calculus
( 1 ) Find the equation of the plane that contains both the point ( - 1 , 1 , 2 ) and the line given by x = 1 - t , y = 1 + 2 t , z = 2 + 3 t . ( 2 ) Consider the function f ( x , y ) = x 2 ( y - 1 )...
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