MTH 102 Practice Questions and Answers

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MTH 102 Practice Questions and Answers

MTH 102 Practice Questions and Answers

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

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

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3) 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

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4) f(x) = a0 is a ____

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5) 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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6) Differentiate  y = [ 4x -3] ^5

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

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

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9) Solve for X if 4^X=7

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

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

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

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13) Find the derivatives of the the function

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

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14) Integration of e^x gives ______

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15) 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 _____

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

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

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18) What is the floor of -9 ?

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

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

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21) 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 _______

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22) What is the floor of 9.99 ?

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

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

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

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

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

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

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

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

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30) 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 _____

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31) Find the third  derivative of x^9

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

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

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34) What is the ceiling of -9.5 ?

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35) Find the derivative of the function

f(x) = cot(x)

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36) Sinh ^-1 is a _______function

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37) What is the ceiling of 0.4 ?

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

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

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40) _____is any rule which associates two set of items

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