a. Use Green's theorem to compute the area inside the ellipse
x
2
7
2
+
y
2
18
2
=
1.
Use the fact that the area can be written as
∫
∫
D
d
x
d
y
=
1
2
∫
∂
D
−
y
d
x
+
x
d
y
.
Hint:
x
(
t
)
=
7
cos
(
t
)
.
b. Find a parametrization of the curve
x
2
/
3
+
y
2
/
3
=
8
2
/
3
and use it to compute the area of the interior. Hint:
x
(
t
)
=
8
cos
3
(
t
)
.