Consider the following 2D shapes:
A)
(0,4)
B)
(-4,-1) (0,0) (1,-1)
(-2,0) (2,0)
(0,-3)
a) Write simplified integrals that expresses the mass
of region A, given density function $\delta(x, y)$, without
evaluating. (Hint: Consider which direction requires
far less work):
Mass(A) =
b) Given a CLOCKWISE path C around the edge
of region B starting at (0,-1), and
vector field $\vec{F} = [xy^2, x^2]$, write simplified
integrals that express the line integral:
$\oint \vec{F} \cdot d\vec{r} = $
