MATH H2E Midterm: MATH H2E Midterm
Document Summary
Instructions: the only notes permitted must be hand-written on the 3x5 inch index card you will be given in class; put your name in the upper-right corner of that index card. No calculators and no checking cell phones during the exam. Your work will be graded based on clarity as well as correctness. Good luck: prove that f : r r 0 given by x 7 x2 is not invertible, let r denote the rectangle 0 x 2, 0 y 3. Find, with proof, a bounded function f (x, y) for which does not exist. We"ll show an example where the intervals have different. Divide the interval 0 x 2 into m subin- m 1 , x2 = 2 m 1 , xm 1 = 1, xm = 2. widths and we get the wrong answer for r 2 m 1 , . , xm 2 = m 2 tervals using the endpoints x0 = 0, x1 = 1.
