MATH 131 Midterm: MATH 131 UMass Amherst m131-spring2005 Exam f-S04
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On this exam, you may use a calculator and a page of your own notes, but no books. It is not su cient to just write the answers. You must show how you arrive at your answers unless instructed otherwise. If you draw a graph, show the numerical scale on each axis. The entire exam is worth 140 points, with each problem worth 20 points. Leave the space below empty: (20, (20, (20, (20, (20, (20, (20) Final exam page 1: (20 points) please classify the following statements as true or false. Final exam page 2: (20 points) (a) (5 points) state the de nition of the derivative as a limit. (b) (15 points) use the de nition of the derivative to verify that the derivative. 2 3x + 1 of f (x) = 3x + 1 is f (x) = Final exam page 3: (20 points) let f (x) = x2 + 1 (x + 1)2 .
