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Unformatted text preview: dV dt =− .05 t . If this channel is open for 10 hours, what is the total amount of new water in the holding pool? 4. Estimate the area under the curve y = x 2 2 from x = 2 to x = 4 using: A. L 4 B. R 4 C. A Riemann sum S 4 where for each interval [ x k-1 , x k ], let c k = 2 x k − 1 x k 3 D. What is the maximum error bound for these estimates? E. If we wanted to estimate the area to within 0.05, how many intervals will we need? F. What is the actual area? (Do this by hand and show all steps. You can check it with a calculator, but I want to see the work.) G. What is the actual error for each estimate? Error for L 4 : Error for R 4 : Error for S 4 : EC: Find the area bounded from above by the lines y = 1/3 x + 4 and y = -1/2 x + 13/2, and from below by the curve y = x 2 − 5 x 4 I pledge that I have neither given nor received aid on this test. _________________________________ (name) (date)...
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- Spring '08