Use green's theorem to compute the area inside the ellipse( x^2/13^2)+(y^2/6^2)=1.
use the fact that the area can be written as

dub intd dxdy=(1/2) int partiald (-y dx+x dy) .
hint: x(t)=13cos(t).
the area is?

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)=8cos^3(t).

m∠a is 90°

m∠b is 40°

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus