MATH 2B Study Guide - Final Guide: Integral Test For Convergence, Alternating Series Test, Convergent Series
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MATH 2B Full Course Notes
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5 f (x) 3 4 6 9 13 18 f(cid:48)(x) 1 2 4 6. 0 f(cid:48)(x) dx: find(cid:82) 4, estimate(cid:82) 4. Cross out incorrect scratch-work: no calculators or other forms of assistance are allowed. Do not check your cell phones during the exam: clearly indicate your nal answer to each problem, (8 points) consider continuous functions f and f(cid:48) (where f(cid:48) denotes the derivative of f) with. 1 f (x) dx using a left-hand riemann sum with 3 equal subintervals: evaluate the following derivative at the point x = 3 (cid:18)(cid:90) x. What are the units of(cid:82) 4: suppose f (x) gives the height of a rocket, measured in yards, x minutes after its launch. 0 f(cid:48)(x) dx and what does this quantity represent: (7 points) evaluate (cid:90) x. If it is divergent, explain why. (cid:90) dz z2 + 3z + 2. 0: (10 points) find the area of the region bounded by the curves y = 3.