OC userin CalculusΒ·9 Jul 20181 3. If f(x) = x4 β 223 + 2x2 +Δ , then lim f(!)(x) = (A) 24 (B) 12 (C)O (D) 2 (E) 4
OC userin CalculusΒ·7 Jul 20181. Which (if any) of the following functions is an even function? (A) f(x) = ex2-4 (B) f(x) = x2 sin x (C) f(x) = tan z (D) y(x) = eth-20 (E) none of (A) to (D)
OC userin CalculusΒ·8 Jul 2018Wu 21. If cos (xy) = 1 - sin y, then at the point (1, 7/2) = dc (A)1 (B)-1 (C)/2 (D) -1/2 (E) none of (A) to (D)
OC userin CalculusΒ·2 Jul 20182 marks A10. The critical numbers of the function f(x) = 9-22 are A: -3,0 and 3 B: -3 and 3 C: 0 D: -9 and 9 E: -9,0 and 9
OC userin CalculusΒ·1 Jul 20182 tor A3. Find the exact value of arccos(cos ). cos II - A arelos (cos ) - arccos(-1/2) costa COSKE
OC userin CalculusΒ·2 Jul 201826. A cylindrical tank with radius 4 m is being filled with water at a rate of 3 m/min. How fast if the height of the water increasing ?
OC userin CalculusΒ·30 Jun 20187. If y = (sin .)22 then y' = (A) 2.c(sin r)23-1 (B) (cos x)24 (C) (sin x)2-(2 In(sin x) + 2x cotx) (D) (sin x)24 (2 ln(sin x) - (E) none of the above
OC userin CalculusΒ·27 Jun 20182. Al. Find the inverse function f-'(z) for f(3) = 35+1 marts Iny = ln eΒΊ** en y = =3* $lny) =* llax=) =y is the formula for the inverse finestona 1: finz-1 B:Δ·inz+ 1 1n(-1) {{nz - 1) E: Ing( - 1)
OC userin CalculusΒ·26 Jun 201819. If f"(x) = 2 + cos x, f(0) = -1, f(7/2) = 0, then f(x) = (A) - COS I (B) x2 β TTC/2 - cosc (C) 2.02 β TUI β COS X (D) cos x + x2 (E) none of (A) to (D)
OC userin CalculusΒ·27 Jun 20188. For the function f(x) = 2.r3 β 3.rΒΊ - 362 which of the following state- ments is true ? (A) 0 is the only critical number (B) there are three critical numbers (C) there are no critical numbers (D) -2 and 3 are the critical numbers (E) statements A,B,C,D are false
OC userin CalculusΒ·23 Jun 2018(2 marks) A11. A particle is moving with the acceleration (1) = sint + cost. Find the position s(t) in meters) of a particle at any time if the initial position and velocity are s(0) = 0 (m), v (0) = 5 (m/s). (Recall: v(t) = a (t) = A: sin (5) + CON (5) B: - cost - sint ++ +5 C -cost-sint + 5 D: β cost - sint +1 | E: - cost - sint +66 +1
OC userin CalculusΒ·22 Jun 20181. Which (if any) of the following functions has an inverse? (A) f(1) = 0 (B) f(x) = = 73 (D) y(2) = el* (E) none of (A) to (D)