Question # 1

If there is some function F such that d/dx[F(x)]=f(x) then any of the function of the form F(x)+C is _________ of f(x)

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Derivative

Antiderivative

Slope

Maximum value

Let y=(x³+ 2x)³⁷which of the following is correct?

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dy/dx=37(x³2x)³⁶

dy/dx=111x²(x³2x)³⁶

dy/dx=(111x²+74)(x³2x)³⁶

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

According to the power rule of differentiation,if f(x)=xⁿwhere n is a real number then d/dx[xⁿ]=

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x^n-1

nx^n-1

nxⁿ⁺¹

If f(x)=e^-xat x=0 be the taylor series ,then which of the following is also true?

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Arithmetic Series

Maclaurin Series

Geometric Series

Harmonic Series

Which of the following option is true for the sequence a_n={1/n}_n=1which of the following option is true for the sequence

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Increasing

Decreasing

Non increasing

Non Decreasing

If f is a continuous function such that lim_x_→+_∞=+∞ andlim_x_→+_∞=+∞ the f has on

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maximum value but no minimum

minimum value but not maximum

both maximum and minimum value

lim x→0⁺ln x/1/x=_______

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1

0

none of these

If the partial sum of the series is finite then the series will be

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Divergent

Convergent

Give no information

If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y ,we say that y is ____ of x

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relation

function

not a function

not a relation

The pythagoras theorem describe the relationship between the sides of

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right angle triangle

isoceleous triangle

equilateral traingle

What is the length of each subinterval,if the interval [1,3]is divided into n sub interval of equal length?

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1/n

2/n

3/n

log_ba^r=____?

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alog_br

r log_ba

log_ba /log_br

If y=1/1-x the dy/dx=____?

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-1

1

1/(1-x)²

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

If f''(x)<0 on an open interval (a,b) then which of the following statement is correct

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f is concave up on (a,b)

f is concave down on (a,b)

f is linear on a,b

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