Midterm I practice 2 - Math 126 First Midterm Fall 2007...

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Math 126First Midterm, Fall 2007Instructions:Do all your work in the provided blue book. Make sure you write yourname and recitation number on the blue book.Write all your answers exactly.Do not use approximations for numbers likeπor2.NO CALCULATORS!Good luck!1.A liquid leaked from a tank at a rater(t), whereris in liters per hour, andtis in hours.The rate decreased as time passed. This rate was measured every 2 hours, and the resultis given below. Find an upper estimate for the total amount of oil that has leaked outafter 6 hours.t0246r(t)97.5762.Z32f(x)dx= 1/3,Z53f(x)dx= 6,Z52g(x)dx= 4/5.FindZ52(g(x) + 4f(x) + 5)dx.3.Express the integral as the limit of Riemann sums. Do not evaluate the limit. Do notuse Δxorx*iin your final answer; instead, plug in the formulas for these.Z1223xdx2 + 3x4.Letf(w) =w4-2w

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