MTH 102 Practice Questions and Answers

1) Sinh ^-1 is a _______function

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

3) What is the ceiling of -9.5 ?

4) Find the derivative of the function

f(x) = cot(x)

5) Find the integral of [2/x]dx

6) Lim 5x + 9 as x approaches 1 is equal to _____

7) Differentiate  y = [ 4x -3] ^5

8) Every_____has it’s co-domain equals the range

9) Find the derivatives of the the function

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

10) 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 _____

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

12) What is the ceiling of 0.4 ?

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

14) What is the floor of 9.99 ?

15) If f(x) = x^2 and a=3

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

16) f(x) = a0 is a ____

17) 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 _____

18) _____is any rule which associates two set of items

19) A point where a function is not defined is called a _____points of the function

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

21) Find the third  derivative of x^9

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

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

24) Solve for X if 4^X=7

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

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

27) A _____is a quantity which may take different values in mathematical operations

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

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

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

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

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) Lim SinX/X as X approaches Zero is equal to ____

34) What is the floor of -9 ?

35) Integration of e^x gives ______

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

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

38) A mapping is ______if different elements in the domain have different elements in the co-domain

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

40) 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 _______