MAC 2312 Midterm: MAC 2312 FIU Exam 114k

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15 Feb 2019
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Prof. s. hudson: (5pts) compute the sum, using a summation formula if possible. Simplify, within reason (fractions are ok, but do not leave a p symbol, or many + signs in your answers). P10 k=1 k(k 2: (10pts) compute this limit by interpreting it as a de nite integral (and then compute that integral). Of course, you can put the 2/n term inside the sum if you want. lim n . + 1)9 : (5pts) let f (x) = r x. Compute f (9) and simplify: (7pts each; 35 total) compute each integral (by substitution, geometry, ftc, inv. trig, etc). In most cases, you should simplify your answer. If any of these do not exist, explain. The function f (x) = sec(x) is integrable on [0, /4]. If f is continuous on (1,4), then it is integrable on [1,4]. If a < b and f is continuous on [a,b], then r b.

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