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:
n must be greater than 5 for the product to be greater than 10.
Step-by-step explanation:
10 times 2/5 = 4 (no)
10 times 6/5 = 12 (yes)
10 times 5/5 = 10 (no)
Answer:
1. 1
2. -3
3. yes
4. no, it is not, because the function stop at point (-6, -2)
5. -2
First find the number of ft around the garden and if it took Clare 30 min to walk the entire distance divide your previous answer by 30 so you can see how many ft per minute she was walking
(x - 8)² = 144
Take square root of both sides
(x - 8) = √144
x - 8 = 12
x = 12 + 8
x = 20
Original lawn is = 20 feet * 20 feet square
