q107k - approximate scale, As = 85-100, Bs = 75-84, etc (...

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Quiz I Key July 5, 2007 MAC 2312 S Hudson 1) [30 points] 20 k =5 1 k - 1 k - 1 = 2) [40 points] Use the definition of integral to express this as a limit of Riemann sums (do not evaluate): R 2 0 1 + 3 x dx . 3) [30 points] Suppose a reservoir supplies water to a city at a rate of r ( t ) = 1+ t gal/min, where t is the time in minutes since 10:00 AM. How much water does the reservoir supply during the 30 minute period from 10 AM to 10:30 AM ? (you can leave square roots, but not (anti)derivatives, in your answer). Answers: The average was about 76/100. That’s pretty high, probably because this quiz was relatively easy. All three problems resembled exercises from the textbook. For an
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Unformatted text preview: approximate scale, As = 85-100, Bs = 75-84, etc ( generally each letter from B through D spans 10 per cent). 1) It telescopes, so everything cancels except parts of the rst and last terms; -1/4 + 1/20 = -1/5. 2) lim max 4 x k n k =1 (1 + 3 x * k ) 4 x k . I also gave full credit if you assumed the partition was regular and/or used one of the endpoint rules to simplify the denition. For example, lim n n k =1 (1+3(2 k/n ))(2 /n ) was OK. But not all combinations of these answers were 100% OK. 3) R 30 1 + t dt = 30 + (2 / 3)30 3 / 2 1...
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This note was uploaded on 12/26/2011 for the course MAC 2312 taught by Professor Storfer during the Summer '08 term at FIU.

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