For the following exercises, determine whether the vector field is conservative and, if it is, find the potential function. 110. F ( x , y ) = [ 2 x cos ( y ) − y cos ( x ) ] i + [ − x 2 sin ( y ) − sin ( x ) ] j
For the following exercises, determine whether the vector field is conservative and, if it is, find the potential function. 110. F ( x , y ) = [ 2 x cos ( y ) − y cos ( x ) ] i + [ − x 2 sin ( y ) − sin ( x ) ] j
For the following exercises, determine whether the vector field is conservative and, if it is, find the potential function.
110.
F
(
x
,
y
)
=
[
2
x
cos
(
y
)
−
y
cos
(
x
)
]
i
+
[
−
x
2
sin
(
y
)
−
sin
(
x
)
]
j
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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