MATH 1100Y Final: MATH1100Y-Final-Exam (2)
Document Summary
Mathematics 1100y calculus i: calculus of one variable. Instructions: show all your work and justify all your answers. Aids: calculator; two (2) aid sheets; one (1) brain [may be ca einated]. Do all three (3) of 1 3: compute dy dx as best you can in any three (3) of a f. 0 tet dt: y = x2ln(x, y = sec2 (arctan(x), y = sin (ex, evaluate any three (3) of the integrals a f. [15 = 3 5 each: z. 4 x2: z ln(3) es ds, do any ve (5) of a i. dx b. 0 sin(z) cos(z) dz: z x2ln(x) dx, z. [25 = 5 5 ea. : determine whether the series ditionally, or diverges. 3n converges absolutely, converges con: why must the arc-length of y = arctan(x), 0 x 13, be less than 13 , find a power series equal to f (x) = (when the series converges) without x.
