MATH 1110H Final: MATH1110H-Final-Practice
Document Summary
Mathematics 1110h calculus i: limits, derivatives, and integrals. Instructions: do parts a and b, and, if you wish, part c. show all your work and justify all your answers. Aids: any calculator; (all sides of) one aid sheet; one (1) brain (no neuron limit). Do all four (4) of 1 4: compute dy dx as best you can in any four (4) of a f. [20 = 4 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, evaluate any four (4) of the integrals a f. [20 = 4 5 each: z 1, z /4. 2 t: z ln(2) e y dy e. z, z /2 x cos(x) dx dt. 0 z cos(cid:0)z2(cid:1) dz arctan(y) dy tan2(z) dz: do any four (4) of a f.
