MAC 2312 Midterm: MAC 2312 FIU Exam 116sk
15 Feb 2019
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Prof. s. hudson: (5pts each) compute each sum and simplify, if reasonable (but an answer like 22015 or. P2016 k=1 ln( k+1 k : [5 pts] simplify limh 0. Recalling the proof of ftc#2 might help, but there are probably other methods. ln(t) dt, removing all h"s and t"s, with a brief explanation. x. 1 h r x+h: (5pts each) compute (by substitution, geometry, ftc, etc): 1 xpcos(x2)dx: (10pts) a rock is dropped from the top of green library, at a height of 256 feet. a) Find the volume of the solid generated by revolving r around the y-axis. Method and a de nite integral (no geometric shortcuts allowed: (15pts) answer true or false to each part. For all numbers b > 10, the average value of sin(x) on [0, b] is nonnegative. The function f (x) = 1 x 1 is integrable on [0, 3]. The distance traveled by a particle in rectilinear motion is always nonnegative.
