The 3rd and 5th systems of equations are the answer.
Point A is at (3,-1), so all you do is input 3 for x and -1 for y into all the equations. For the systems to work, both equations must work with (3,-1).
Only the third and fifth boxes work.
Direct computation:
Parameterize the top part of the circle
by

with
, and the line segment by

with
. Then



Using the fundamental theorem of calculus:
The integral can be written as

If there happens to be a scalar function
such that
, then
is conservative and the integral is path-independent, so we only need to worry about the value of
at the path's endpoints.
This requires


So we have

which means
is indeed conservative. By the fundamental theorem, we have

Answer:
5
Step-by-step explanation:
if u add al of these it equals 35 divided by 7 equals 5
Answer:
1. 
2. 
Step-by-step explanation:
Let the number of people in the group be x. Denote the total cost as C.
1. If the regular cost is $21 per person, then the total regular cost for x people is 
2. If the special cost is $8 per person, then the total special cost for x people is
There is an additional $104 fee for a private room, thus the total special cost is 
Answer:
Exact Form:
√
30
Decimal Form:
5.47722557
…
Step-by-step explanation: i would go with D