OC userin Calculus·2 Mar 201836. A hare and a tortoise start moving from the same point. The hare travels north at 1.5 km/hour and the tortoise travels east at 2 km/hour. At what rate is the distance between the hare and the tortoise increasing 2 hours later?
OC userin Calculus·27 Feb 201831. Sketch the region enclosed by y = (1 - 2)2 and y = r. Find the area of this region.
OC userin Calculus·26 Feb 20188 B26. Let f(x) be the function given by se if f(3) = cos? if OSISI if I >1 State the value of the indicated limit, if it exists, in the space provided. Write oor - if appropriate. If a limit does not exist, write DNE. (a) (1) lim (2) Lim.. e = -1/2 (11) lim f(t) lim.cost. Cosa - x 707 () lim f(t) = /2.... (iv) lim (=) dim. Cos'co5ico x + (11) lim S(:).D.M.E...
OC userin Calculus·27 Feb 20181. Which (if any) of the following functions is an odd function? (A) f(x) = (x*–* (B) f(x) = x2 sin x (C) f(x) = In x (D) f(x) = VX – 2 (E) none of (A) to (D)
OC userin Calculus·26 Feb 201817. Let Ar = and ; = 2+iAx. Then lim =11; cos(1+r; (1) [" = cos(1 + 2)dir (B) ["cos(1 + x)di (©) *1 cos(1 + a)dt (D) ["co(1 + zhdr
OC userin Calculus·23 Feb 2018B31. Evaluate the following indefinite integrals: 4 marks (a) Site de (b) / 2V1 – 22 de. 4 marks
OC userin Calculus·21 Feb 2018(2 marks) A25. Choose the integral which represents the volume of the solid generated by rotating R, shown above, about y = 4. A: axtar B: (4 – x2) de my dy D: 2 (4 – x2) dr E: (v + 4) dy
OC userin Calculus·17 Feb 20182 A18. If }(z) (3a), find f'(s). Let 4= e impe u=3x, v=sinu. Then yzel 3, cosu, om de er e cosu) 3 = 3 cos (sx) e sin (5) 32*3=) Cos(33) A ) B: D. 3cin(3) E: 3) cos(31) [= n3
OC userin Calculus·17 Feb 2018(2 marks) A7. If y = (sin .x)", find A: .r (sin.r) B: In (sin.r) + .r cotr C: er In(sina) D: (sin.r)" (In (sin.) +.rcot.c) E: (sin ) (Sing " + cox e lur)