MTH 133 Study Guide - Midterm Guide: Proctor, Improper Integral
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Include enough steps for the grader to be able to follow your work. Include words to clarify your reasoning: do rst all of the problems you know how to do immediately. Do not spend too much time on any particular problem. I have read and understand the above instructions: No partial credit available: (5 points) if f (x) = ln(2x + e3x), then f(cid:48)(0) is, 0, 2, 3, 5, none of the above, (5 points) compute lim x (cid:16) 1 + a x (cid:17)x where a is a constant: a, 1, 0, ea, none of the above, (5 points) a beaker of water at 100oc cools to 40oc in 30 minutes in a room with temperature 20oc. Find the slope of the graph of g 1 at the origin : 2, 2, 1/2, 1/2, not enough information. Credit based solely on answer: consider the integral (cid:90) 2 dx.