FBQ1: Given that $$f(x)=2x+1$$, then $$f(3)$$ is ____________________ Answer: *7* FBQ2: ____________________ is the value of f(-5) in the function $$f(x)=x^{2}+2x-3$$. Answer: *12* FBQ3: The value of $$\frac{f(a+h)-f(a)}{h}$$ in the function $$f(x)=x^{2}-2x+7$$ is ____________________ Answer: *2a+h-2* FBQ4: Let f(z-1) = z2- 2z +13, then f(-1) is ____________________ Answer: *13* FBQ5: Let h(x) = x2+ x, then h(x+1) – h(x) is ____________________ Answer: *2x+1* FBQ6: Let f(t-1) = t2+ 2t, then f(2) is ____________________ Answer: *15* FBQ7: is called the ____________________ of A Answer: *range* FBQ8: ____________________ of H Answer: *domain* FBQ9: is ____________________ Answer: *½* FBQ10: The rate at which is changing with respect to x when x = 1 is ____________________ Answer: *½* FBQ11: The position at time t of an object moving along a line is given by s(t) = t3 -6t2 + 9t + 5. The acceleration of the object at t = 1 is ____________________ Answer: *-6* FBQ12: The slope of the secant line through the point (1, f(1)) and (4, f(4)) on the graph of y=f(x) is ____________________ Answer: *15* FBQ13: Suppose is ____________________ Answer: *-7* FBQ14: An object moves along the y-axis (marked in metres) so that its position at the time (in seconds) is $$f(x)=x^{3}-6x^{2}+9x$$. The velocity at $$x=2$$ is ____________________ m/s Answer: *-3* FBQ15: A function f(x) is called an even function if ____________________ Answer: *f(-x)=f(x)* FBQ16: The evaluation of is ____________________ Answer: *4* FBQ17: The evaluation of is ____________________ Answer: *4/3* FBQ18: F The value of x at the maximum point of the curve is ____________________ Answer: *-1* FBQ19: ____________________ Answer: *-7* FBQ20: Suppose the total cost in Naira of manufacturing q units of a certain commodity is given by the function C(q) = q3 - 30q2 + 500q + 200. The cost of manufacturing 5 units of the commodity is ____________________ Answer: *N2,075* FBQ21: The position at time t of an object moving along a line is given by s(t) = t3 - t2 + 9t + 5. The acceleration of the object at t = 4 is ____________________ Answer: *22* FBQ22: The position at time t of an object moving along a line is given by s(t) =2 t3 - t2 + 3t -15. The velocity of the object at t =2 is ____________________ Answer: *23* FBQ23: Differentiate P(x) = (x – 1)(3x – 2) with respect to x. Answer: *6x-5* FBQ24: Suppose assigns to each negative integer -2 and to each positive integer 2.Then, the domain of is ____________________ Answer: *{…-2, -1, 1, 2, …}* FBQ25: The exact area of the piece of land which is bounded by the y-axis on the west, the x-axis in the south, the lake described by the function $$f(x)=100+(\frac{x}{100})^2$$ in the north and the line x=1000 in the east is ____________________ Answer: *133, 333.33* FBQ26: The evaluation of is ____________________ Answer: *8* FBQ27: The evaluation of is ____________________ Answer: *-3* FBQ28: Suppose a certain car supplies a constant deceleration of A meters per second per second. If it is traveling at 90 kilometers per hour (25meters per second) when the brakes are applied, its stopping distance is 50 meters. The value of A is ____________________ Answer: *6.25* FBQ29: Suppose a certain car supplies a constant deceleration of A meters per second per second. If it is traveling at 90 kilometers per hour (25meters per second) when the brakes are applied, its stopping distance is 50 meters. ____________________ metres would the stopping distance have been if the car had been traveling at only 54 kilometers per hour when the brakes wereapplied Answer: *42* FBQ30: The evaluation of is ____________________ Answer: *0* FBQ31: After its brakes are applied, a certain car decelerates at the constantrate of 6 meters per second per second. If the car is traveling at 108kilometres per hour when the brakes are applied, ____________________ metres is the distance travelled before coming to a complete stop? (Note: 108 kmph is the same as 30 mps.) Answer: *75* FBQ32: Suppose is defined by , then is -------------- Answer: *62* FBQ33: The evaluation of $$\int_{2}^{5} (2+2t+3t^{2})dt$$ is ____________________ Answer: *144* FBQ34: The evaluation of definite integral $$\int_{0}^{6} x^{2} (x-1) dx$$ is ____________________ Answer: *252* FBQ35: The maximum value of the function is ____________________ Answer: *9* FBQ36: The evaluation of is ____________________ Answer: *-3/4* FBQ37: A is the region bounded by the curve $$y=4x^{3}$$, the line x=2 and the x-axis. The area under the region is ____________________ Answer: *16* FBQ38: The area of the region B is ____________________ , where B is the region bounded by the curves $$y=x^{2}-2x$$ and $$y=1-x^{2}$$ between x=-2 and x=1 Answer: *12* FBQ39: Let $$f(x)=x^{2}-5x+5$$, the value $$\frac{(x+\Delta x)-f(x)}{\Delta x}$$ as $$\Delta x$$ approaches zero is ____________________ Answer: *2x-4* FBQ40: The value of $$f(x)=x^{2}-5x+1$$ when x=4 is ____________________ Answer: *-3* FBQ41: If $$f(x)=x^{2}-2x+7$$, then f(-5) is ____________________ Answer: *42* FBQ42: Given $$f(x)=2x-4$$ and $$g(x)=x^{2}+3$$, the composite functions $$f(g(x))$$is ____________________ when x=2 Answer: *6* FBQ43: Let functions $$f(x)=2x-4$$ and $$g(x)=x^{2}+3$$, the composite functions $$g(f(x))$$ is ____________________ when $$x=1$$ Answer: *5* FBQ44: The inverse function of $$f(x)=\sqrt (2x-3)$$ is ____________________ when x=1 Answer: *2* FBQ45: The evaluation of $$\lim {x\rightarrow 1} \frac{x^{2}-1}{x-1}$$ is ____________________ Answer: *2* FBQ46: The differentiation of y= 2 sin 3x is ____________________ Answer: *10 cos 5t* FBQ47: The differential coefficient of y=7 sin 2x-3 cosx is ____________________ Answer: *14 cos 2x+ 12 sin 4x* FBQ48: The gradient of the curve $$f(x)=x^{2}$$ at x=2 is ____________________ Answer: *4* FBQ49: An alternating voltage is given by: v=100 sin 200t volts, where t is the time in seconds. The rate of change of voltage at t =0.005 s is ____________________ volts per second Answer: *10806* FBQ50: An alternating voltage is given by: v=100 sin 200t volts, where t is the time in seconds. The rate of change of voltage at t =0.01 s is ____________________ volts per second Answer: *-8323* Multiple Choice Questions (MCQs): MCQ1: If f(x) = x2- 4x+ 3, evaluate f(x+1) Answer: x2- 2x MCQ2: Let f(x-3) = x2- 2x+ 7, find f(-1) Answer: x2+ 7x - 7 MCQ3: Let G(x) = x2+ x - 5, find G(x+2) – G(-x) Answer: 6x +6 MCQ4: Let H(x) = x2+ 4x - 5, determine H(x+d) – H(x). Answer: x2+2xd+4d MCQ5: Let f(x-1) = x2+ 5x- 1, find f(4) +f(-2). Answer: 28 MCQ6: Let f(x) = 2x – 1 and g(x) =x2- 4, find f (g(x)). Answer: 2x2 – 9 MCQ7: Let f(x) = 2x – 1 and g(x) =x2- 4, find g (f(x)). Answer: x2+ 6x +2 MCQ8: Let h(x) = (x+2)sin (x+1) and p(x) =3x-5, find p (h(x)). Answer: (x+6) sin (3x+1)-5 MCQ9: Let h(x) = (x+2 )sin (x+1) and p(x) =3x-5, find h(p(x)). Answer: (3x-3)sin (3x-4) MCQ10: Find the inverse of f(x) = 3x +5. Answer: (5 x-3)/5 MCQ11: Which of the following terms best describe a mapping? Answer: a transformation MCQ12: Let be a mapping. The set is called Answer: range of P MCQ13: Answer: domain of H MCQ14: Answer: Function of H MCQ15: find the image set of f . Answer: MCQ16: find the range of p. Answer: MCQ17: Let be a mapping defined by find the range of Answer: MCQ18: Answer: 4 MCQ19: Answer: ½ MCQ20: Suppose the total cost in Naira of manufacturing q units of a certain commodity is given by the function C(q) = q3 - 30q2 + 500q + 200. The cost of manufacturing 10 units of the commodity is .......... Answer: N3,200 MCQ21: Let y = x3 be a curve. The equation of the tangent line at the point where x = -1 is y = Answer: 3x + 2 MCQ22: Answer: MCQ23: The position at time t of an object moving along a line is given by s(t) = t3 - 6t2 + 9t + 5. The velocity of the object at t = 1 is Answer: 0 MCQ24: Answer: MCQ25: Differentiate the function e-2x with respect to x. Answer: -2e-2x MCQ26: Let y = ln (6x – 4). dy/dx is Answer: MCQ27: If f(x) = 2x3 – 4x. Then f(x) is Answer: odd MCQ28: Answer: 17 MCQ29: Let . Suppose f assigns to each negative integer -3 and to each positive integer 3. What is the co-domain of f ?   Answer: MCQ30: A A function f(x) is called an even function if Answer: f(-x) = f(x) MCQ31: Answer: MCQ32: Answer: -1/2 MCQ33: Answer: MCQ34: Answer: MCQ35: Answer: MCQ36: Answer: MCQ37: Find if x and y are given by the parametric equations, y = cos4t, x = sin3t&nbsp; Answer: MCQ38: Answer: MCQ39: find if y = sin2x + 3cos5x Answer: -4sin2x - 75cos5x MCQ40: find the value of x at the minimum point of the curve Answer: 1 MCQ41: Integrate 1/1-x2 with respect to x. Answer: sin-1x MCQ42: Find ∫4x3x2+1 dx Answer: 86x2+13/227 MCQ43: Evaluate ∫013xex2 dx. Answer: 32(e-1) MCQ44: Integrate (3x2+2x-1)/x3 with respect to x Answer: 3ln⁡x-2x+12x2 MCQ45: Obtain ∫(2x+11)10dx Answer: 2x+51122 MCQ46: Determine: ∫dxx+1(x+2) Answer: 86ln⁡x6+11 MCQ47: Determine: ∫dxx+1(x+2) Answer: ln⁡x+1x+2 MCQ48: Answer: 12π MCQ49: Evaluate ∫x+1x dx Answer: 2x13x+1 MCQ50: Integrate sin3xcosx with respect to x Answer: 14sin4x