MATH 1910 Final: MATH 191 Cornell Final Exam Fall04
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Your answers do not need to be simpli ed: no calculators or books are permitted. Students are permitted to bring a single: please turn o cell phones, good luck and happy holidays! 2 11 sheet of paper containing notes, formulas, etc. [18 points: how many subintervals are required to estimate z 3. 0 within an absolute error of 0. 02? sin x dx, using simpson"s rule, to: find the volume of the solid generated by rotating the region bounded by the curves y = x, y = x. [10 points] (a) about the x-axis (b) about the line x = 1. [8 points: let f (t) = cosh(t2). Let f (x) be the arclength of the graph of f from t = 0 to t = x, for x 0. (a) write down an integral representing f (x). Do not attempt to integrate it! (b) what is f (1): suppose a population experiences exponential growth.
