## NOUN e-Exams Past Questions: MTH102 - Elementary Mathematical II

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### NOUN e-Exams Past Questions: MTH102 - Elementary Mathematical II

NOUN e-Exams Past Questions: MTH102 - Elementary Mathematical II

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FBQ1: Given that $$f(x)=2x+1$$, then $$f(3)$$ is ____________________

FBQ2: ____________________ is the value of f(-5) in the function $$f(x)=x^{2}+2x-3$$.

FBQ3: The value of $$\frac{f(a+h)-f(a)}{h}$$ in the function $$f(x)=x^{2}-2x+7$$ is ____________________

FBQ4: Let f(z-1) = z2- 2z +13, then f(-1) is ____________________

FBQ5: Let h(x) = x2+ x, then h(x+1) – h(x) is ____________________

FBQ6: Let f(t-1) = t2+ 2t, then f(2) is ____________________

FBQ7: is called the ____________________ of A

FBQ8: ____________________ of H

FBQ9: is ____________________

FBQ10: The rate at which is changing with respect to x when x = 1 is ____________________

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 ____________________

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 ____________________

FBQ13: Suppose is ____________________

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

FBQ15: A function f(x) is called an even function if ____________________

FBQ16: The evaluation of is ____________________

FBQ17: The evaluation of is ____________________

FBQ18: F The value of x at the maximum point of the curve is ____________________

FBQ19: ____________________

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 ____________________

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 ____________________

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 ____________________

FBQ23: Differentiate P(x) = (x – 1)(3x – 2) with respect to x.

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 ____________________

FBQ26: The evaluation of is ____________________

FBQ27: The evaluation of is ____________________

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 ____________________

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

FBQ30: The evaluation of is ____________________

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.)

FBQ32: Suppose is defined by , then is --------------

FBQ33: The evaluation of $$\int_{2}^{5} (2+2t+3t^{2})dt$$ is ____________________

FBQ34: The evaluation of definite integral $$\int_{0}^{6} x^{2} (x-1) dx$$ is ____________________

FBQ35: The maximum value of the function is ____________________

FBQ36: The evaluation of is ____________________

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 ____________________

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

FBQ39: Let $$f(x)=x^{2}-5x+5$$, the value $$\frac{(x+\Delta x)-f(x)}{\Delta x}$$ as $$\Delta x$$ approaches zero is ____________________

FBQ40: The value of $$f(x)=x^{2}-5x+1$$ when x=4 is ____________________

FBQ41: If $$f(x)=x^{2}-2x+7$$, then f(-5) is ____________________

FBQ42: Given $$f(x)=2x-4$$ and $$g(x)=x^{2}+3$$, the composite functions $$f(g(x))$$is ____________________ when x=2

FBQ43: Let functions $$f(x)=2x-4$$ and $$g(x)=x^{2}+3$$, the composite functions $$g(f(x))$$ is ____________________ when $$x=1$$

FBQ44: The inverse function of $$f(x)=\sqrt (2x-3)$$ is ____________________ when x=1

FBQ45: The evaluation of $$\lim {x\rightarrow 1} \frac{x^{2}-1}{x-1}$$ is ____________________

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 ____________________

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

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

Multiple Choice Questions (MCQs):
MCQ1: If f(x) = x2- 4x+ 3, evaluate f(x+1)

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)

MCQ4: Let H(x) = x2+ 4x - 5, determine H(x+d) – H(x).

MCQ5: Let f(x-1) = x2+ 5x- 1, find f(4) +f(-2).

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)).

MCQ10: Find the inverse of f(x) = 3x +5.

MCQ11: Which of the following terms best describe a mapping?

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 .

MCQ16: find the range of p.

MCQ17: Let be a mapping defined by find the range of

MCQ18:

MCQ19:

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 ..........

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:

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

MCQ24:

MCQ25: Differentiate the function e-2x with respect to x.

MCQ26: Let y = ln (6x – 4). dy/dx is

MCQ27: If f(x) = 2x3 – 4x. Then f(x) is

MCQ28:

MCQ29: Let . Suppose f assigns to each negative integer -3 and to each positive integer 3. What is the co-domain of f ?

MCQ30: A A function f(x) is called an even function if
Answer: f(-x) = f(x)

MCQ31:

MCQ32:

MCQ33:

MCQ34:

MCQ35:

MCQ36:

MCQ37: Find if x and y are given by the parametric equations, y = cos4t, x = sin3t&amp;nbsp;

MCQ38:

MCQ39: find if y = sin2x + 3cos5x
Answer: -4sin2x - 75cos5x

MCQ40: find the value of x at the minimum point of the curve

MCQ41: Integrate 1/1-x2 with respect to x.

MCQ42: Find ∫4x3x2+1 dx

MCQ43: Evaluate ∫013xex2 dx.

MCQ44: Integrate (3x2+2x-1)/x3 with respect to x

MCQ45: Obtain ∫(2x+11)10dx

MCQ46: Determine: ∫dxx+1(x+2)

MCQ47: Determine: ∫dxx+1(x+2)

MCQ48:

MCQ49: Evaluate ∫x+1x dx

MCQ50: Integrate sin3xcosx with respect to x