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.
The answer is 92,776 because 10 times as much as 70 is 700 which gives the answer for the hundreds position.
Answer:
B
Step-by-step explanation:
b and a=40⁰ so if b+c is supplementary they equal 180⁰ together so 180-40= 150⁰
Answer:
144
Step-by-step explanation:
Jane has 2 times as many books as Jill, so there are 3 parts. Two parts Jane and one part Jill. So, divide 216 by 3 and it's 72, which equals one part. Jane has two parts, so 72 x 2. Jane has 144 books.
The only value of p for which the equation has exactly 1 real number solution is p=0.
If p<0, there are no real number solutions and if p>0, there are 2 real number solutions.
Hope this helps,
Brian