MAT 295 Midterm: MAT295-2012Spring
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MAT 295 Full Course Notes
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Snyder (lynea: there are a total of 10 problems. It is your responsibility to make sure that all 10 problems are present: show all your work. Little or no credit will be given for answers without supporting work. Instructions using calculus methods: no calculators or other electronic devices are allowed. Version a: (12 points) evaluate each of the following. Write dne if the limit does not exist. Answers without supporting work will receive no credit. (a) lim x + . 1 3x + 5x2 + 7x3 (b) lim x 0 tan 3x x2 + x (c) lim x + x2e 3x. 2: (16 points) find the derivative of each of the following functions. Do not simplify! (a) f (x) = x2(1 + x)3/2. (b) f (x) = cos x cos x + sin x. 3 (problem 2 continued) (c) f (x) = tan 1(cid:16) 1 x(cid:17) (d) f (x) = (ln(1 + ex))4.