Answer: hi your question is incomplete below is the complete question
Use the Divergence Theorem to calculate the surface integral S F dS with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral
answer : surface integral = 384/5 π
Step-by-step explanation:
Representing the vector field as
F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k
assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.
Hence the divergence will be represented as :
Attached below is the detailed solution
Answer:
z1 + z2 = 3
Step-by-step explanation:
Since we are given z1 = 2 + √(3)i and z2 = 1 – √(3)i. The sum of z1 + z2 would be:
(2 + √(3)i) + (1 – √(3)i) = 2 + √(3)i + 1 – √(3)i = 2 + 1 + √(3)i – √(3)i = 3
Hence, z1 + z2 = 3.
Answer: A,1 A,2 A,3 A,4 B,1 B,2 B,3 B,4
Answer : B x 1 2 3 4 y 3.2 6.4 9.6 12.8
WE analyze the first option A
x -- y -- Difference
8 -- 20
9 -- 22.5 -- 2.5
10 -- 25 -- 2.5
11 -- 27.5 -- 2.5
From the first function we can see there is a constant difference of 2.5.
We analyze the second option B
x -- y -- Difference
1 -- 3.2
2 -- 6.4 -- 3.2
3 -- 9.6 -- 3.2
48 -- 12.8 -- 3.2
From the second function we can see there is a constant difference of 3.2
3.2 is the greatest
So second function B has the greatest constant of variation.
