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:
The answer is 234
Step-by-step explanation:
Answer:
The required graph is shown below:
Step-by-step explanation:
Consider the provided graph 
The above function is a linear function.
We can draw the graph of the linear function with the help of two points.
Substitute x = 0 in
Hence, the coordinates are (0,2)
Substitute f(x) = 0 in
Hence, the coordinates are (-0.0625,0)
Now join the above points.
The required graph is shown below:
Answer:
11
Step-by-step explanation:
12x 11=132 or 12x12=144-12=132.
Answer:
b because the value are correct
Step-by-step explanation:
