MATH 411 Midterm: MATH411 BOYLE-M SPRING2013 0101 MID EXAM 3

• School: University of Maryland
• Department: Mathematics
• Course: MATH 411
• Professor: All

Document Summary

Math 411 spring 2013 boyle exam 4: (20 points) suppose e is a subset of rn with jordan content zero, and f : e r is a bounded function. Let g = {(x, y) rn+1 : x e, y = f (x)}. Show that g has jordan content zero in rn+1: (25 points) given r > 0, de ne dr = {(x, y) r2 : x2 + y2 r2} and. Sr = {(x, y) r2 : |x| r and |y| r}. (dr is a disc and sr is a square. : (10 points) compute limr rdr e (x2+y2) dx dy , (5 points) explain why lim. R zsr e (x2+y2) dx dy : (10 points) compute limr r r x= r e x2 dx , (10 points) state the two-dimensional version of fubini"s theorem ( fu- bini"s theorem in the plane ).