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:
1) His total commission is $1,234.3
2) The purchase of the car is $24,790.
Step-by-step explanation:
1) 21640*0.02= 432.8+ 250= 682.8
15075*0.02= 301.5+ 250= 551.5
682.8+ 551.5= 1,234.3
2) 745.8- 250= 495.8/ 0.02= 24,790
The answer would be -3x^2+3 x + 36
Step-by-step explanation:
7 1/2 = 7 + 1/2 = 14/2 + 1/2 = 15/2 = 7.5
check the attached picture.
:)
