MATH 1100Y Final: MATH1100Y-Final-Exam (3)
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Mathematics 1100y calculus i: calculus of one variable. Instructions: show all your work and justify all your answers. ); one brain (no limit on active neurons). 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] dt c. z t2 1 ln(x) dx f. z ex. 0 x cos(x) dx e2x + 2ex + 1 dx. Z: z pw2 + 9 dw e. z e. 1: do any ve (5) of a i, find the volume of the solid obtained by rotating the region bounded by y = x, 0 x 4, the x-axis, and x = 4, about the x-axis: use the de nition of limits to verify that lim x 1. 3x = 3: find the taylor series of f (x) = x2. 1: determine whether the series tionally, or diverges.
