a. Parameterize
by

with
.
b/c. The line integral of
over
is




d. Notice that we can write the line integral as

By Green's theorem, the line integral is equivalent to

where
is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.
move variable to the left side and change its sign
-3x+8=6y
Move constant to the right side and change its sign
-3x=6y-8
Divide both sides of the equation by -3
x=-2y+8/3
Yes you did it correctly but change problem 5’s denominator on the right to a 6
The answer is Triangle PQR