STAT 1090 Lecture 41: Handout I.2 Real Numbers.PDF

Verify the divergence theorem for the given region W, boundary dW oriented outward, and vector field F I ILv.na JJ Jw

6 . Compute jj F·dS for the given oriented surface. F-ce, i, x>,G. )-,+, ) 0SrSs, 0ss oriented by T

Hint: Find the equations ofthe lines bounding the square. Use the transformation with to evaluate the integral I = | | (x+y) dzdy JJ D when D is the square with vertices