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.
Answer: Ginger Smith will have to pay $23.00
Step-by-step explanation:
When we talk about a Health Insurance, the Allowed amount
is the maximum amount the Health Insurance company will cover for health care services.
So, if the health care provider charges more than this allowed amount (as in this situation with Ginger Smith), Ginger will have to pay the difference
, which is calculated by:

are the total charges
is the allowed amount

This is the difference Ginger Smith will have to pay