MATH 125g Study Guide - Midterm Guide: Proctor, Maxima And Minima

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Circle the lecture section you are registered for: Read the problems carefully and answer the questions asked. Write neatly and indicate clearly your answer to each problem. The backs of the sheets may be used for scratch paper or to continue your work on a problem, but if you do continue your answer, please give directions to the grader. You must show your work to obtain full credit. Points may be deducted if you do not justify your nal answer. Calculators, notes, books, or collaboration with others are it not allowed. If you have any questions about any of the problems ask the proctor, but no one else! Do not use l"h opital"s rule: lim x 1+ x2. 9 x2 + 2x 3: lim t 0 t3 tan3 2t, lim x x2 + ax . X2 + bx , where a and b are two constants: di erentiate the following functions, y = 2 cos x.