The answer is the last on 12
Answer:
Step-by-step explanation:
The slant height of one side of this pyramid is 5, and the base of this side is 4. Thus, the area of one slant side is (1/2)(5)(4) = 10 units^2.
There are 4 such sides. Thus, the total slant surface area is 4(10 units^2), or 40 units^2.
If you also want to include the base area, the total would be
40 units^2 + 16 units^2 = 56 units^2.
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:
Slope m=
10-2
7-3
=
8
4
m = 2
Step-by-step explanation:
Answer:
5a+1 1/2=4
a = 1/2
Step-by-step explanation: