[Solution] Consider the vector field and the triangle with vertices and which as a plane curve has a counter-clockwise direction. Find the line integral
Question:
Consider the vector field
and the triangle with vertices
and
which as a plane curve
has a counter-clockwise direction.
-
Find the line integral
.
-
Is there any function in two variables, like
such that
Explain your answer.
Deliverable: Word Document 
![[See Steps] We want to calculate the](/images/solutions/MC-solution-library-67174.jpg "[See Steps] We want to calculate the line integral where and is")
[See Steps] We want to calculate the line integral where and is
![[See Steps] Consider the space between the](/images/solutions/MC-solution-library-67175.jpg "[See Steps] Consider the space between the upper part of the sphere")
[See Steps] Consider the space between the upper part of the sphere
Solution: Set up a triple integral in rectangular coordinates
(See Solution) Let be a region bounded by the lines . Find the
![[See Steps] For each point, given either](/images/solutions/MC-solution-library-67178.jpg "[See Steps] For each point, given either in cylindrical or spherical")
[See Steps] For each point, given either in cylindrical or spherical
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