MATH 1120H Final: MATH1120H-Final
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Mathematics 1120h calculus ii: integrals and series. 19:00-22:00 on monday, 30 july, in cgs 105. Instructions: do parts a, b, and c, and, if you wish, part d. show all your work and justify all your answers. Aids: any calculator; (all sides of) one aid sheet; one (1) brain (no neuron limit). Do all four (4) of 1 4: evaluate any four (4) of the integrals a f. [20 = 4 5 each: z /4 dx b. Z 1: z 0 x2 + 2x + 2 dy. /4 sec2(z) tan(z) dz: z (cid:0)1 + w2(cid:1)1/2 dw e. z . 0 ve v dv: z u + 1 u3 u du, determine whether the series converges in any four (4) of a f. [20 = 4 5 each] a. d. 5/2 + 3/2 + 1/2 e i arctan(i: do any four (4) of a f.
