The length and width of the park are measured in linear units: inches, miles, meters, etc. The area is measured in square units.
2 answers:
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The vector field
has curl
Parameterize by
where
with and
.
Take the normal vector to to be
Then by Stokes' theorem we have
which has a value of 0, since each component integral is 0:
The circle will form a sphere. (See 1st figure attached)
The rhombus (it can also be a square) will form a 2 cones attached at the bottom. (See 2nd figure attached)
The rectangle will form a cylinder. (See 3rd figure attached)
The triangle will form a cone.
Answer: The third figure.
The rhombus (it can also be a square) will form a 2 cones attached at the bottom. (See 2nd figure attached)
The rectangle will form a cylinder. (See 3rd figure attached)
The triangle will form a cone.
Answer: The third figure.