can anybody help me out with the 13.6 webassign (ma 242, labate's class)?? im desperate



2. [SCalcCC2 13.6.12.] Evaluate the surface integral. (INT(y^2 + z^2 dS))

S is part of the paraboloid x = 4 - y2 - z2 that lies in front of the plane x = 0



3. [SCalcCC2 13.6.14.] Evaluate the surface integral. (INT( xy dS))

S is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 2



5. [SCalcCC2 13.6.22.] Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. Use the positive (outward) orientation.
F(x,y,z) = x i + y j + z4 k
S is the part of the cone beneath the plane z = 1 with downward orientation

[Edited on November 18, 2005 at 5:58 PM. Reason : (thanks for the advice)]

11/18/2005 5:37:07 PM

post the problem

Someone may be able to help

11/18/2005 5:54:18 PM

you need to carefully understand the example from 13.6 in order to do #12. Pay special attention to the sentence after the equation 4

"Similar formulas apply when it is more convenient to project S onto the yz-plane
or xz-plane"

For your problem you'll want to find the formual analogus to eqn. 4 which involves a projection onto the
yz-plane. Basically x is playing the role z usually does in most of the book's examples.

[Edited on November 18, 2005 at 9:19 PM. Reason : ']

11/18/2005 9:18:11 PM