Question # 1

set{...-4,-3 ,-2,-1,0,1,2,3,4} is known as the set of

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natural number

Integer

whole number

Let f(x ) is the function such that as x approaches a real number ,either from left or right hand side ,the function value increase or decrease unboundedly then lim f(x)

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Exist

Does not exist

Not Sure

How many critical points exist for a function f if f'(x)=(x-3)(x-2)

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0

1

3

2

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

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

Which of the following is the spring constant k if a spring constant whose natural length is 2m exerts a force of 3N when started 1m beyond its natural legth?

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3 x

3 N/m

2 m

no of x and y are intercept for the equation y=1/x

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Two x intercepts

Two y intercepts

No x and y intercept correct

None of these

The equation (x+4)²+(y+1)²=6 represent a circle having center at____ and radius

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(-4,1),undertoot 6

(-4,-11),undertoot 6

None of these

if xy=4 they dy/dx ?

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-1/x²

4/x²

-4/x²

What is the base of natural logarithm ?

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2.71

10

5

log_bac=_________

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log_ba + log_bc

log_ba - log_bc

log_ba/log_bc

log_ba * log_bc

For a sequence {a_n} if the difference between successive terms a_n+1-a_n<=0 then the sequence is known as

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increasing

decreasing

non decreasing

non increasing

log_b1/t =________

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log_bt

1-log_bt

1+log_bt

-log_bt

For a sequence {a_n}if the ration of successive terms a_n+1/ a_n>1 then the sequence is known as

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Increasing

Decreasing

Non Increasing

Non decreasing

The graph of the equation y=x²-4x+5 will represent

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Parabola

Straight Line

Ellipse

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

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Divergent

Convergent

Give no information

d(sec x)/dx=?

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sec x tan x

sec x tan y

cosec x cot x

For a function f ,let f'(x_n)=0 for some n Does the newton method for work for approximating the solution of f(x)=0

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yes

no

not sure

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

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dy/dx=(37)(x³+2x)³⁶

dy/dx=(111x²)(x³+2x)³⁶

dy/dx=(111x²+74)(x³+2x)³⁶

The PYTHAGORAS theorem describe the relationship between the sides of

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Right angle triangle

Isoceleous Triangle

Equilateral traingle

lim x→0⁺ln x/1/x=_______

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1

0

none of these

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