0% 4324 Welcome to MTH 102 practice questions and answers Time elapse Created on May 02, 2023 By Jgaloreâ€™s International Company MTH 102 Practice Questions and Answers MTH 102 Practice Questions and Answers Bio Data Form 1 / 40 1) What is the floor of -9 ? a. 9 b. -9 c. 1/9 d. 9.0 2 / 40 2) What is the ceiling of -9.5 ? a. -9.5 b. 10 c. -10 d. -9 3 / 40 3) Find the third Â derivative of x^9 a. 72x ^7 b. 9x ^8 c. 504x ^ 6 d. 3024x ^ 5 4 / 40 4) Lim [(x^2 -2)(x^2 +1)] as x approaches zero is equal to __ a. 1 b. 2 c. -2 d. -1 5 / 40 5) Find the derivative of the functionf(x) = cot(x) a. -tan x b. -cosec^2 (x) c. tan^2 (x) d. -sec^2 (x) 6 / 40 6) Every_____has itâ€™s co-domain equals the range a. one-one mapping b. onto-mapping c. constant mapping d. identify mapping 7 / 40 7) A______of a function f is a point x=x0 at which fâ€™(x0)=0 a. Fixed point b. stationary point c. functional point d. continuity point 8 / 40 8) A/An _____is a Variable which may assume any value assigned to it.Itâ€™s sometimes called the predictor variable a. Dependent variable b. independent variable c. constant variable d. functional variable 9 / 40 9) A mapping is ______if different elements in the domain have different elements in the co-domain a. one-one mapping b. onto mapping c. constant mapping d. identify mapping 10 / 40 10) What is the ceiling of 0.4 ? a. 0.4 b. -0.4 c. 0 d. 1 11 / 40 11) Find the third Â derivative of the function f(x) =x^3 a. X^3 b. 3x ^2 c. 6 d. 6x 12 / 40 12) Find the integral of [2/x]dx a. In X +c b. 2in X +c c. 2in X +1 +c d. 4in X +c 13 / 40 13) 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. 1 b. 3 c. 2 d. 0 14 / 40 14) _____is any rule which associates two set of items a. Function b. Mapping c. Polynomial d. Variable 15 / 40 15) Integration of e^x gives ______ a. e^x b. e c. e^-x d. Inx 16 / 40 16) Solve for X if 5^(x+1)=9 a. 0.36 b. 5 c. 0.73 d. 3 17 / 40 17) If f(x) = x^2 and a=3find Lim [f(x) -f(a)] / [x-a] as x approaches zero a. 1 b. 3 c. 1/2 d. 5 18 / 40 18) A _____is a quantity which may take different values in mathematical operations a. Variables b. string c. constant d. function 19 / 40 19) Lim 5x + 9 as x approaches 1 is equal to _____ a. 14 b. 4 c. 5 d. 9 20 / 40 20) Solve for X if 4^X=7 a. 1 b. 1.4 c. 0 d. 0.4 21 / 40 21) Differentiate Â y = [ 4x -3] ^5 a. 5 (4x-3) ^4 b. 12( 4x-3) ^4 c. 9 (4x-3) ^4 d. 20(4x-3) ^4 22 / 40 22) A point where a function is not defined is called a _____points of the function a. Monotone points b. increasing point c. minimal point d. singular point 23 / 40 23) sin (A+B) + sin (A-B) is also equal to ____ a. 2sinA cosB b. 2cosA sinB c. 2cosA cosB d. 2sinA sinB 24 / 40 24) Given f(x)= (3x +1) / (x-2), find f(0) a. -1/2 b. 1/2 c. -2/3 d. 1/4 25 / 40 25) cos(A-B) -cos(A+B) is also equal to ___ a. 2sinA cosB b. 2cosA sinB c. 2cosA cosB d. 2sinA sinB 26 / 40 26) Lim (x^2 +7x)/(x) as x approaches zero is equal to _____ a. 0 b. 7 c. 1 d. -7 27 / 40 27) Lim SinX/X as X approaches Zero is equal to ____ a. 1 b. 0 c. Sin X d. none of the above 28 / 40 28) Let f be Â 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] = fâ€™(c)The theorem above satisfies _____ a. Mean value theorem b. Extreme value theorem c. Rolles theorem d. none of the above 29 / 40 29) Lim (x^3 +27)/(x+3) as x approaches 3 is equal to _____ a. 3 b. 9 c. 27 d. 6 30 / 40 30) Find the derivatives of the the functionf(x)= x[x^2 + 2(x)] a. X^3 +4x b. 3x^2 + 2x c. X ^3 + 2x d. 3x^2 + 4x 31 / 40 31) The set of all the elements in the co-domain that are images of objects in the domain is referred to as______ a. Mapping b. Range c. Function d. Relation 32 / 40 32) Differentiate [5x^2][6/x] a. 60 b. 20 c. 40 d. 30 33 / 40 33) Given that f(x) = (3X +1) / (x-2) , find f(-1) a. 2/3 b. 1/2 c. 1/3 d. 3/2 34 / 40 34) A mapping where every element in the domain is mapped to a single element in the co-domain is referred to as ______ a. one-one mapping b. onto-mapping c. constant mapping d. identity mapping 35 / 40 35) f(x) = a0 is a ____ a. Linear function b. constant function c. polynomial function d. trigonometric function 36 / 40 36) 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. Mean value theorem b. Extreme value theorem c. Rolles theorem d. none of the above 37 / 40 37) What is the floor of 9.99 ? a. 9 b. 10 c. -9 d. -10 38 / 40 38) 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. one-one mapping b. onto-mapping c. constant mapping d. identity mapping 39 / 40 39) Sinh ^-1 is a _______function a. hyperbolic b. inverse hyperbolic c. Exponential d. inverse exponential 40 / 40 40) A function f is said to be a/an _____function if f(-x)=f(x) for all x in the domain of f. a. odd b. even c. absolute value d. constant Your score is LinkedIn Facebook Twitter VKontakte 0% Restart quiz

Welcome to MTH 102 practice questions and answers

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MTH 102 Practice Questions and Answers

Bio Data Form

1 / 40

1) What is the floor of -9 ?

2 / 40

2) What is the ceiling of -9.5 ?

3 / 40

3) Find the third Â derivative of x^9

4 / 40

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

5 / 40

5) Find the derivative of the function

f(x) = cot(x)

6 / 40

6) Every_____has itâ€™s co-domain equals the range

7 / 40

7) A______of a function f is a point x=x0 at which fâ€™(x0)=0

8 / 40

8) A/An _____is a Variable which may assume any value assigned to it.Itâ€™s sometimes called the predictor variable

9 / 40

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

10 / 40

10) What is the ceiling of 0.4 ?

11 / 40

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

12 / 40

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

13 / 40

13) 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

14 / 40

14) _____is any rule which associates two set of items

15 / 40

15) Integration of e^x gives ______

16 / 40

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

17 / 40

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

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

18 / 40

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

19 / 40

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

20 / 40

20) Solve for X if 4^X=7

21 / 40

21) Differentiate Â y = [ 4x -3] ^5

22 / 40

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

23 / 40

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

24 / 40

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

25 / 40

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

26 / 40

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

27 / 40

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

28 / 40

28) Let f be Â 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] = fâ€™(c)

The theorem above satisfies _____

29 / 40

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

30 / 40

30) Find the derivatives of the the function

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

31 / 40

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

32 / 40

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

33 / 40

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

34 / 40

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

35 / 40

35) f(x) = a0 is a ____

36 / 40

36) 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 _____

37 / 40

37) What is the floor of 9.99 ?

38 / 40

38) 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 _______

39 / 40

39) Sinh ^-1 is a _______function

40 / 40

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

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