I believe The answer is x=9
1st letter can be any of 5 letters
2nd letter can be 5-1 any of 4 letters
5*4 = 20
there are 20 possible passwords
Answer:
The volume each of the four barrels of the same size will be at least 47.5 liters.
Step-by-step explanation:
Let the volume of each of the four barrels is v liters.
Now, the amount of water that can be held in the fifth barrel is 10 liters. The total capacity of holding water for the 5 barrels combines is at least 200 liters.
So, from the above-given information, we can write the inequality to determine the volume of each of the four barrels will be
10 + 4v ≥ 200
Solving this we get,
4v ≥ 190
⇒ v ≥ 47.5
Therefore, the volume each of the four barrels of the same size will be at least 47.5 liters. (Answer)
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
