Question # 1

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

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

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1/n

2/n

3/n

4/n

2/3 is known as

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even number

irrational number

natural number

rational number

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

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

log_bac=_________

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log_ba + log_bc

log_ba - log_bc

log_ba/log_bc

log_ba * log_bc

Suppose f and g are differentiable function of x then d/dx[f/g]

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[g][f'] - [f][g']/g²

[g'][f] - [f'][g]/g²

[g'][f] - [f'][g]/f²

If f and g are continuous function on an interval [a,b] f(x)>=g(x) for a<=x<=b and ,then area is bounded by the lines parallel to :

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X-axis

Y axis

Both x and y axis

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

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

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increasing

non decreasing

decreasing

non increasing

if xy=4 then dy/dx =?

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0

-1/x²

-4/x²

The pythagoras theorem describe the relationship between the sides of

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right angle triangle

isoceleous triangle

equilateral traingle

If there is some function F such that d/dx[F(x)]=f(x) then antiderivatives of f(x) are F(x)+C .What does C represent?

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Polynomial

Constant

Dependent variable

Independent variable

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

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

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