MAC 2312 Midterm: MAC 2312 FIU Exam 117k
15 Feb 2019
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Prof. s. hudson: (5pts each) compute each 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). 2 k+1 k 2 k=1 k(k + 2) P30 k=1 |10 k: (5pts each) compute each (by substitution, geometry, ftc, inv. trig, etc): 9 t2 dt dx r 2 x |8 t| dt. You can assume gravity is -32 ft/sec2: (10pts) estimate the area under y = x2 + 1 from x = 1 to x = 3 using a riemann sum with n = 4 and the right endpoint rule. Do not use any anti-derivatives in this problem (except maybe to check your work): (10pts) let r be the region bounded by x = 1, x = 2 y = 0 and y = x2. It looks like a trapezoid, but with a curved top.
