Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle
in the plane
, where the curl is
. Green's theorem applies here, so that

which means the value of the line integral is 3 times the area of the circle, or
.
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.
Answer:
a: 3
b: 12
c: 15
Step-by-step explanation:
12 + 15 = 27
There are 27 total.
Since there are 27 in all, it's best if each small rectangle value is 3.
A = -11
B= -12
This is because of how calculations work in negatives. Because they are both negative they work similarly to addition
Answer: The cats cost more
also there is a typo
Step-by-step explanation:
I bought 1 dog and 3 cats a total cost of $7.75. the three cats cost more so in all the cats must cost 3.56$
Answer:
54:73
Step-by-step explanation:
There is more 54's then any other number
73 is the median