# Find the value of the surface integral (2x^2yi - y^2j + 4xz^2k).dS where is S the surface of the cylinder y^2 + z^2 = 9 bounded by the planes x=0 and x=2?

See below

By the divergence theorem, flux for the entire surface is:

That's the flux across the entire cylinder surface, including the end caps.

If they are meant to be excluded, then:

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the volume of the solid bounded by the coordinate planes and the plane #2x+y+z=3#?
- Find the area of the yellow shaded area govern the larger pentagon side #s=5.5# and area of the smaller pentagon (green) #A_(pentagon) = 7.59 cm^2#?
- How do you find the area between #y=x^3# and #y=6-x#?
- How do you use the triple integral to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 3x+6y+4z=12?
- The region under the curves #y=3/4x, y=1-x, y=x-1/x# is rotated about a) the x axis and b) the y axis. How do you sketch the region and find the volumes of the two solids of revolution?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7