MATH 1100Y Final: MATH1100Y-Final-Exam (1)
Document Summary
Mathematics 1100y calculus i: calculus of one variable. Instructions: do parts , , and , and, if you wish, part . Show all your work and justify all your answers. Aids: calculator; up to two ( 2) aid sheets; at most one ( 1) brain. Do all four (4) of 1 4: compute as best you can in any three (3) of a f. 1 ez+1 dz: evaluate any three (3) of the integrals a f. [15 = 3 5 each: z. 1 x3 + 4x dx: z e. 1 xln(x) dx: z cos(2t + 1) dt, z /2. 0 sin2(z) cos3(z) dz e. z ex sec (ex) dx f. z 1. 0 arctan(x) dx: do any three (3) of a f. [15 = 3 5 each: use the right-hand rule to compute the de nite integral z 2. 0 x 2: sketch the surface obtained by revolving this curve about the x-axis.
