MATH 411 Midterm: MATH411 BOYLE-M SPRING2012 0101 MID EXAM 3
15 Feb 2019
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Math 411 spring 2012 boyle exam 4: (20 points) suppose v1, v2, . is a convergent sequence of points in rn and e = {xn : n n}. Prove that e has jordan content zero in rn: (20 points) for 1 i n, suppose ii is an interval [ai, bi] and i is the generalized rectangle. I = i1 in = {x rn : xi ii, 1 i n} . There are more problems on the other side. 3. de ned and equal to x. (10 points) suppose f is a bounded function from the square i = y=0 f (x, y) dy is well. [0, 1] [0, 1] to r, and for every x in [0, 1], the integral r 1. What does fubini"s theorem allow you to conclude about ri f : (25 points, (5 points) state the change of variables theorem, (20 points) for the set compute. E = {(x, y) r2 : x2.
