MATH 1100Y Final: MATH1101Y-Final
Document Summary
Mathematics 1101y calculus i: functions and calculus of one variable. Instructions: do parts l, m, and n, and, if you wish, part o. Show all your work and justify all your answers. Aids: any calculator; (all sides of) one aid sheet; one (1) brain (no neuron limit). Part l. do all four (4) of 1 4: compute dy dx, evaluate any three (3) of the integrals a f. [15 = 3 5 each] as best you can in any three (3) of a f. [15 = 3 5 each] x 1(cid:19)2: y = (cid:18) x + 1 y = cos(t) x = sin(t) dt c. 0: ln(xy) = 0, y = x ex tet2, y = z x, y = sin(cid:0) x(cid:1) dt, z /2. 2 t e y dy e. z x2 + x + 1: z x (x2 + 1) 0 x cos(x) dx c. z p1 x2 dx dx f. z /4.
