OC userin Calculus·11 Feb 201818. Let t > 0. If y = f* - X', then (A)0 (B) xt-1 – txt-1 (C)- Int - tæt-1 (D) xtı-1 - xt In x (E) none of (A) to (D)
OC userin Calculus·6 Feb 20184 B28. marks The limit is the derivative of some function / at some number a. (i) What are f (=) and a ? (Answers slone are sufficient.)
OC userin Calculus·5 Feb 20182. The entire real axis is the domain of the function (A) f(x) = log; 2 (B) f(x) = eVz?-1 (C) f() = tan x (D)f(x) = (1 – x)} (E) none of (A) 10 (D)
OC userin Calculus·7 Feb 20182 A19. fff() tan-(-), find f'(1). Let y = tan(K") and i = x Then yo tani dyx st = 2
OC userin Calculus·2 Feb 20182. 21 34. Express the limit lim - In 1+ non L n / as a definite integral.
OC userin Calculus·1 Feb 201825. If y(2) = x", then y'(x) = (A) x2–1 (B) 222-1 (C) xv7–! In x D x*(1 + Inx) (E) none of (A) to (D)
OC userin Calculus·29 Jan 20182 marks A22. If f" () = sin(2x), f(0) = 1 and f() = 0, then f(x) = 1: -sin(2) B: - sin(2) + 1 c. = sin(20) – 3D: -sin(21) – + 1 E: - sin(2x)
OC userin Calculus·26 Jan 2018(b) is continuous at 0 ? Justify your answer. Yes, since him fx = Ty and f (0) = 2e=" so lim fx) = f(). *
OC userin Calculus·24 Jan 20187 marks B27. A wire 4 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area, which is the area of the square plus the area of the circle? Give the length of wire used for the square and the circle. Justify your answer.
OC userin Calculus·23 Jan 201816. sin(In x) = (A) sin(In a) (B) de cos(In a) © cos(In a) sin(In x) (E) none of (A) to (D)
OC userin Calculus·17 Jan 20182 A7. Find the exact value of cos(2 sin ()). marks Let ya simY3 Then siny=% and cos2y = 1.25iny Y2 =y=72 = 1- =%
OC userin Calculus·15 Jan 2018dvr et dt = da Ji 22 (A)e+ (B) e – 1 OSO (D) (E) none of (A) 10 (0) (A) e (B)e" – 1 (C (E) none of (A) to (D)