Use Stokes’ Theorem to evaluate ∬ S curl F ⋅ d S . F ( x , y , z ) = tan − 1 ( x 2 y z 2 ) i + x 2 y j + x 2 z 2 k , S is the cone x = y 2 + z 2 , 0 ≤ x ≤ 2 , oriented in the direction of the positive x -axis
Use Stokes’ Theorem to evaluate ∬ S curl F ⋅ d S . F ( x , y , z ) = tan − 1 ( x 2 y z 2 ) i + x 2 y j + x 2 z 2 k , S is the cone x = y 2 + z 2 , 0 ≤ x ≤ 2 , oriented in the direction of the positive x -axis
Use Stokes’ Theorem to evaluate
∬
S
curl
F
⋅
d
S
.
F
(
x
,
y
,
z
)
=
tan
−
1
(
x
2
y
z
2
)
i
+
x
2
y
j
+
x
2
z
2
k
,
S
is the cone
x
=
y
2
+
z
2
,
0
≤
x
≤
2
,
oriented in the direction of the positive
x
-axis
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