MATH 1100Y Final: MATH1101Y-Final-Exam (2)
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Mathematics 1101y calculus i: functions and calculus of one variable. Instructions: do parts x and y and, if you wish, part z. Show all your work and justify all your answers. Do all three (3) of 1 3: compute dy dx as best you can in any three (3) of a f. [15 = 3 5 each: y = cos (ex) b. y =z x, y = xln(x) etln(t) dt. 1: y = ln(x) x, arctan(x + y) = 0 f. x = et y = e2t, evaluate any three (3) of the integrals a f. dx x, z ln(x, z 1. [15 = 3 5 each: z 4 dx e. z tan2(w) dw f. z ln(2) X dx e2t dt: do any ve (5) of a i. [25 = 5 5 each: use the limit de nition of the derivative to compute g (0) for g(x) = 2x + 1, determine whether the series.
