MAC 2312 Midterm: MAC 2312 FIU Exam f18k
15 Feb 2019
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Prof. s. hudson: (10pts) a particle moves along the s-axis. Shells are suggested, but other methods are ok. you do not have to evaluate the integral. 3a) (5pts each) compute r 2x ln(x) dx. 3b) compute r x2+3x 2 x3+2x2 3x dx: (5pts each) classify each series as d for divergent, ca for absolutely convergent, or cc for conditionally convergent. Justify your answers with convergence tests and calculations. P+ k=2 ( 1)k ln(k+1: (10 pts) find the mclaurin series for f (x) = 1 + 2x. The series 2 1 1 + 2 1 1 + 2 1 1 . converges to 0. limn cos(2n ) = 1. Every decreasing sequence that is bounded above converges. If a0 = 2 and an+1 = 5 an, n 1, then a2018 = a1942. The average value of cos(5x) on [0, 2 ] is zero. If |r| < 1 then r2 + r3 + r4 + . converges to r2.
