EKSU MTH 103 CBT Practice

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

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

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

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

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

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

7. The relationship between two variables is called

8. ____is any rule which associates two set of items

9. Find the derivatives of the the function

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

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

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

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

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

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

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

16. f(x) = a0 is a ___

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

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

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

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

21. 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 _____

22. 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 _____

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

24. Integration of e^x gives ______

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

26. What function is integrated to get this graph?

27. 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).

28. Sinh ^-1 is a _______function

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

30. What is the ceiling of -9.5 ?

31. 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 _______

32. 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

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

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

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

35. Can you name the two men who discovered calculus?

36. Solve for X if 4^X=7

37. A mapping where every element in the domain is mapped to a single element in the co-domain is referred to as ______

38. What is the ceiling of 0.4 ?

39. What is the floor of 9.99 ?

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

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

42. Find the derivative of the function

f(x) = cot(x)

43. What is the floor of -9 ?

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

45. Find the third  derivative of x^9

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

47. The concept of fundamental to calculus is

48. A mapping is ______if different elements in the domain have different elements in the co-domain

49. cos(A-B) -cos(A+B) is also equal to ___

50. Differentiate  y = [ 4x -3] ^5