Question # 1

Which of the following is true for the sequence {n}∞ n=0?

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Non increasing

non decreasing

increasing

decreasing

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

Average velocity of a body is V_ave

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d₁-d_o/ t₁- t_o

t₁- t_o/f(t₁₎- f(t_o)

_f(t₁₎- f(t_o)/t₁- t_o

None of these

The set {x:a<=x<=b} can be written in the form of interval ?

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(a,b)

(a.b)

[a,b]

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

What is the base of natural lograithem?

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2.71

10

5

Any real number

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

The tan(x) is discontinuous at the point where

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Cos(x)=0

Sin(x)=0

Tan(x)=0

According to 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

(n-1)x^n-1

Polynomials are always ________ function

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Continuous

Discontinuous

Not Sure

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 a function g is differentiable at a point x and function f is differentiable at a point g(x),then the __ is differentiable a point x.

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Composition (fog)

Quotient f/g

product f.g

Sum (f+g)

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 graph x=y²is symmetric about ________ axis?

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X-axis

Y-axis

Origin

If a slope m of a nonvertical line is m=1 then the angle of inclination of the line is

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π /4

π /2

π /5

If 2x-y=-3 then dy/dx=?

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2

-2

0

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