Question # 1

y=1/1-x dy/dx if then

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1

-1

1/(1-x)²

lim x→0⁺ln x/1/x=_______

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1

0

none of these

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

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0

1

3

2

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

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

If f is a twice differentiable function at stationary point x_oan f'(x_o) >0 then f has relative _______ At x_o

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Minima

Maxima

None of these

______ is the special case for the Taylor's theorem

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Roll's Theorem

Picard's Method

Integration

Maclaurin Theorem

If a₁>a₂>......>a_n>.... then a sequence {a_n} is ....

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increasing

non decreasing

decreasing

non increasing

log_b1/t =________

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log_bt

1-log_bt

1+log_bt

-log_bt

30^o

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π/3

π/4

π/6

An object is displaced 1m by a force of 1N then the work done

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2

1

0

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

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Divergent

Convergent

Give no information

2/3 is known as

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even number

irrational number

natural number

rational number

At which points two curves y=x²and y=x+6 intersect?

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x=0 and x=2

x=0 and x=3

x=2 and x=3

x=-2 and x=3

What is the sum of the following series?

1+2+3+----+n

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n+1/2

(n+1)(n+2)/2

n(n+2)/2

n(n+1)/2

What is the base of natural logarithm ?

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2.71

10

5

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

log_bac=_____

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log_ba +log_bc

log_ba - log_bc

log_ba /log_bc

log_ba *log_bc

y=f(x) then the average rate of change of y with with respect to x over the interval [x_o,x₁] is the _______ joining the points (x_{o ,f(}x_o₎) and (x₁f(x₁)) on the graph of f

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Slope of the secant line

Slope of the tangent line

Secent line

none of these

Sigma notation which is represent which of the following greek letter?

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χ

η

Σ

ψ

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

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-1

1

1/(1-x)²

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