MATH 1100Y Final: MATH1101Y-Final-Exam
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Mathematics 1101y calculus i: functions and calculus of one variable. Instructions: do parts i, j, and k, and, if you wish, part z. Show all your work and justify all your answers. Aids: any calculator; (all sides of) one aid sheet; one (1) brain (101010 neuron limit). Do all four (4) of 1 4: compute dy dx as best you can in any three (3) of a f. [15 = 3 5 each: y = e2x 1 e2x + 1 y = arctan(t) b. x = t3 + t. 3: y = (1 + sin(x))2, tan(y) = x, y = z x, evaluate any three (3) of the integrals a f. [15 = 3 5 each: z, z sec17(x) tan(x) dx b. 1 x3 + x dx: z . 1 t2 dt: do any three (3) of a f. [15 = 3 5 each: find the radius of convergence of the power series.
