Answer:
?
Step-by-step explanation:
Answer:
I believe it is true
Step-by-step explanation:
A line never stops (extends infinitely in opposite directions)
Answer:
12
Step-by-step explanation:
Length of a circle = circumference = 2πr = 24π
Radius (r) = 24π/2π
= 12cm
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.
1/15 because you add all the blocks together and it gives you 15 and there is only 1 blue block so it will be a 1/15 chance of getting it