Denote the cylindrical surface by 
, and its interior by 
. By the divergence theorem, the integral of 
across (the outward flow of the fluid) is equal to the integral of the divergence of over the space it contains, :
The given velocity vector has divergence
Then the total outward flow is
Converting to cylindrical coordinates gives the integral
Answer: A, x = square root of 60.
Step-by-step explanation:
Use the Pythagorean Theorem, a^2 + b^2 = c^2.
8^2 = 2^2 + x^2
x^2 = 8^2 - 2^2
x^2 = 64 - 4
x^2 = 60
x = sqrt of 60
Answer:
14x=4-21y
Step-by-step explanation:
Use the midpoint formula and solve. work pictured below
