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

Answer:
The 2nd root of 10, or 10 radical 2, or the square root of 10 is written as 2√10=√10=±3.162278.
Step-by-step explanation:
Answer: angle 1=129 degrees
Step-by-step explanation:
180 - 99 - 30 = 51
all the angles of a triangle should add up to be 180 degrees
51+99+30=180
angle 1 is supplementary to the angle that is 51 degrees so it would be 129 degrees. 180-51=129
The ounces are greater than the pints.
I do hope I got what you needed and helped! :)
Answer:
.2
Step-by-step explanation:
Add all the possible outcomes which is 32, then seperate the number of times 5 WILL appear which is 9. Divide 9 by 32 which equals 28% and turn that into a decimal. The answer is .2 hope this helps!!