I assume each path
is oriented positively/counterclockwise.
(a) Parameterize
by

with
. Then the line element is

and the integral reduces to

The integrand is symmetric about
, so

Substitute
and
. Then we get

(b) Parameterize
by

with
. Then

and

Integrate by parts with



(c) Parameterize
by

with
. Then

and

Since drapes have to be covered all over the window and the beneath of the window, both lengths have to be added.
(2 2/3) + ( 2 3/4)
(8/3) + (11/4)
(32+33)/12
65/12
5 5/12
Let x represent the amount of months she has been saving for.
20x - 60 = 280
Solve for x.
20x - 60 = 280
~Add 60 to both sides
20x - 60 + 60 = 280 + 60
~Simplify
20x = 340
~Divide 20 to both sides
20x/20 = 340/20
~Simplify
x = 17
Therefore, Melanie has saved for 17 months.
Best of Luck!
Answer:
$695.94
Step-by-step explanation:
25% of 856 = 214
6.3% of 856 = 53.928
856 + 53.928 = 909.928
909.928 - 214 = 695.928 about 695.94