For the following exercises, determine whether the statement is true or false. Justify your answer with a proof or a counterexample. 396. The linear approximation to the function of f ( x , y ) = 5 x 2 + x tan ( y ) at ( 2 , π ) is given by L ( x , y ) = 22 + 21 ( x − 2 ) + ( y − π ) .
For the following exercises, determine whether the statement is true or false. Justify your answer with a proof or a counterexample. 396. The linear approximation to the function of f ( x , y ) = 5 x 2 + x tan ( y ) at ( 2 , π ) is given by L ( x , y ) = 22 + 21 ( x − 2 ) + ( y − π ) .
For the following exercises, determine whether the statement is true or false. Justify your answer with a proof or a counterexample.
396. The linear approximation to the function of
f
(
x
,
y
)
=
5
x
2
+
x
tan
(
y
)
at
(
2
,
π
)
is given by
L
(
x
,
y
)
=
22
+
21
(
x
−
2
)
+
(
y
−
π
)
.
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