Take your time to read instructions before taking this test.

There are 40 questions which you are to answer in 15 minutes that gives you roughly 30 seconds per question.

If you can get at least 60%, you can be rest assured that you’ll ace MTH 102/106 exam

In a normal exam you will be asked between 40 – 60 questions but I only arranged 40 questions

Note

Do not be in a hurry to answer the questions
Do not waste time on a question you don’t know
Move as fast as possible and starting with questions that don’t have calculation first to save time
Always crosscheck
Don’t be in a hurry to submit, you are not in a competition
Don’t be scared. Getting an A is easy
Don’t be over confident, you can end up a D, E or F. Calm your blood, no be only you sabi book
Please do well to use our comment box incase there’s a message you want to pass to us

70 – 100 A

60 – 69 B

50 – 59 C

45 – 49 D

40 – 44 E

0 – 39 F

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Created on July 20, 2023 By

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MTH 102

1 / 50

1. Find the derivative of the function

f(x) = cot(x)

A. -sec^x

B. -tan x

C. tan^2 (x)

D. -cosec^2 (x)

2 / 50

2. The relationship between two variables is called

A. Limit

B. Function

C. Variable

D. Mapping

3 / 50

3. Find the integral of [2/x]dx

A. In X +c

B. 2in X +1 +c

C. 4inx +c

D. 2in X +c

4 / 50

4. Every_____has it’s co-domain equals the range

A. Onto mapping

B. Constant mapping

C. One one mapping

D. Identity mapping

5 / 50

5. Lim (x^3 +27)/(x+3) as x approaches 3 is equal to _____

A. 9

B. 6

C. 3

D. 27

6 / 50

6. Lim (x^2 +7x)/(x) as x approaches zero is equal to _____

A. 0

B. -7

C. 1

D. 7

7 / 50

7. Sinh ^-1 is a _______function

A. Inverse Hyperbolic

B. Inverse Exponential

C. Hyperbolic

D. Exponential

8 / 50

8. What is x² + 1 differentiated with respect to y?

A. 2x

B. Y

C. 0

D. 2x + 1

9 / 50

9. Solve for X if 4^X=7

A. 0.4

B. 1

C. 1.4

D. 0

10 / 50

10. The set of all the elements in the co-domain that are images of objects in the domain is referred to as______

A. Function

B. Relation

C. Mapping

D. Range

11 / 50

11. Find the third derivative of the function f(x) =x^3

A. 6x

B. 6

C. X^3

D. 3x ^2

12 / 50

12. ____is any rule which associates two set of items

A. Variable

B. Function

C. Polynomial

D. Mapping

13 / 50

13. Consider a set A defines as A=(a,b,c,d,e). If f maps A to A such that f(a)=a ,f(b)=b ,f(c)=c, f(d)=d and f(e)=e, then the mapping is _______

A. Constant mapping

B. Identity mapping

C. onto-mapping

D. One one mapping

14 / 50

14. A function is , if every
horizontal line intersect the graph of the function atmost once.

A. Onto

B. Constant

C. One to one

D. Identity

15 / 50

15. Given that f(x) = (3X +1) / (x-2) , find f(-1)

A. 1/3

B. 3/2

C. 1/2

D. 2/3

16 / 50

16. A _____is a quantity which may take different values in mathematical operations

A. Function

B. String

C. Variable

D. Constant

17 / 50

17. Lim [(x^2 -2)(x^2 +1)] as x approaches zero is equal to __

A. 1

B. 2

C. -2

D. -1

18 / 50

18. Given f(x)= (3x +1) / (x-2), find f(0)

A. 1/2

B. -1/2

C. 2/3

D. 3/4

19 / 50

19. Differentiate y = [ 4x -3] ^5

A. 20(4x-3) ^4

B. 9( 4x-3)^4

C. 12( 4x-3) ^4

D. 5 (4x-3) ^4

20 / 50

20. What is the floor of -9 ?

A. 9

B. 1/9

C. -1/9

D. -9

21 / 50

21. What is the ceiling of -9.5 ?

A. -10

B. -9.5

C. -9

D. 10

22 / 50

22. if a function is continuous on a closed and bounded interval [a,b] ,then the function attains a maximum and a minimum value on [a,b].
This theorem satisfies _____

A. Extreme Value Theorem

B. Rolles Theorem

C. Mean Value Theorem

D. None

23 / 50

23. Let f be continuous on a closed interval [a,b] and differentiable in [a,b]. Then there exists at least a point C in [a,b] such that [f(b)-f(a)] / [b-a] = f’(c)

The theorem above satisfies _____

A. Mean value theorem

B. Extreme value theorem

C. Rolles Theorem

D. None

24 / 50

24. A point where a function is not defined is called a _____points of the function

A. Increasing points

B. Monotone Points

C. Minimal points

D. Singular point

25 / 50

25. f(x) = a0 is a ___

A. Linear function

B. Constant function

C. Polynomial function

D. Trigonometric function

26 / 50

26. A______of a function f is a point x=x0 at which f’(x0)=0

A. Function point

B. Stationary point

C. Continuity point

D. Fixed point

27 / 50

27. What is x² + 1 differentiated with respect to x?

A. 1

B. 2x

C. X

D. 2x + 1

28 / 50

28. sin (A+B) + sin (A-B) is also equal to ____

A. 2 sin A Cos B

B. 2sin A sin B

C. 2cosA sinB

D. 2cos A Cos B

29 / 50

29. Solve for X if 5^(x+1)=9

A. 3

B. 0.73

C. 5

D. 0.36

30 / 50

30. Let f(x) = x^2. Find the value of b such that the average rate of change of f(x) from 1 to b equals the instantaneous rate of change of f(x) at t=2

A. 2

B. 0

C. 3

D. 1

31 / 50

31. What is the integral of 1 with respect to x?

A. 0.5x

B. 0

C. X

D. 2x

32 / 50

32. The concept of fundamental to calculus is

A. Class

B. Limit

C. Variable

D. Function

33 / 50

33. Lim SinX/X as X approaches Zero is equal to ____

A. Sin X

B. 0

C. None

D. 1

34 / 50

34. Find the derivatives of the the function

f(x)= x[x^2 + 2(x)]

A. 3x^2 + 2x

B. 3x^2 + 4x

C. X ^3 + 2x

D. X^3 +4x

35 / 50

35. What function is integrated to get this graph?

A. 2x

B. (X-1)

C. X- 1

D. X + 1

36 / 50

36. What is the ceiling of 0.4 ?

A. 0.4

B. 1

C. 0

D. -0.4

37 / 50

37. What will be the derivative of this function- 'f(x) = 2023'

A. Infinity

B. 0

C. X

D. 2023

38 / 50

38. A/An _____is a Variable which may assume any value assigned to it.It’s sometimes called the predictor variable

A. Dependent variable

B. Constant variable

C. Independent variable

D. Function variable

39 / 50

39. Differentiate [5x^2][6/x]

A. 30

B. 40

C. 20

D. 60

40 / 50

40. Integration of e^x gives ______

A. e^-x

B. In x

C. e

D. e^x

41 / 50

41. What is the floor of 9.99 ?

A. 9

B. -10

C. 10

D. -9

42 / 50

42. Find the third derivative of x^9

A. 9x ^8

B. 3024 ^ 5

C. 504x ^ 6

D. 72x ^7

43 / 50

43. If f(x) = x^2 and a=3

find Lim [f(x) -f(a)] / [x-a] as x approaches zero

A. 1/2

B. 3

C. 5

D. 1

44 / 50

44. State whether the given statement is true or false. The second fundamental theorem of calculus states that if F(x) = ∫_a^x f(t) dt then F '(x) = f(x).

A. False

B. True

45 / 50

45. A function f is said to be a/an _____function if f(-x)=f(x) for all x in the domain of f.

A. Absolute

B. Constant

C. Odd

D. Even

46 / 50

46. Lim 5x + 9 as x approaches 1 is equal to ___

A. 4

B. 5