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:
Copy all that then paste it to Google and there is a site that I found the answer on but I can't copy it it's to long.
Answer:
F(x) and g(x) are not inverse functions.
Step-by-step explanation:
In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.
As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.
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Now we change the variables.

F(x) and g(x) are not inverse functions.
Answer:
D the horizontal cross-section of the pyramid and cone at the same height must have the same area
Answer:
16.C
17.20
Step-by-step explanation:
16.Add 8+5=13
17.Add 12+8=20