MATH127 Final: MATH127 Final Exam 2009 Fall

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Student name (print legibly) (family name) (given name) Marking scheme: fill in your name, id number, section, and sign the paper. Don"t write formulas on this page: answer all questions in the space provided. Ask for extra sheets if required: check that there are 10 sheets, your grade will be in- Uenced by how clearly you express your ideas, and how well you organize your solutions. Page 2 of 10: various short questions. (a)-(c) consider the following four graphs: [3] (d) write down the de nition of the derivative of f (x) at x = a. [3] (e) find the average value of f (x) = x2 over the interval [0, 3]. [3] (f) find dy dx if y = arctan(2x) + ey. Page 3 of 10: evaluate the following limits. [3] (a) lim x x2 + 4 x2 + x + 2. 7:00pm, it is observed that 30 mg remains.