15_6_6 - 6 For z = x 2 y 2 the upward surface element...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
6. For z = x 2 - y 2 the upward surface element is ˆ N dS = - 2 x i + 2 y j + k 1 dx dy . The flux of F = x i + x j + k upward through , the part of z = x 2 - y 2 inside x 2 + y 2 = a 2 is ZZ F ˆ N dS = ZZ x 2 + y 2 a 2 ( - 2 x 2 + 2 xy + 1 ) dx dy = -
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

Ask a homework question - tutors are online