Question # 1

log_ba^r=____?

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alog_br

r log_ba

log_ba /log_br

Let a function be defined on an interval and let x₁ and x₂denotes two distinct points in that interval ,If f(x₁)= f(x₂) for all points x_{1 and}x₂then which of the following statement is correct ?

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f is decreasing function

f is increasing function

f is constant function

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

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

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

The lim x→a f(x)=___ where f(x)=k

The k is constant

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K+1

K+2

k

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

Tan(x) is continuous every where except at points

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+- kπ/2 where k=(1,3,5.....)

+- kπ/2 where k=(2,4,6.....)

+- kπ/2 where k=(1,2,3,4,5,6.....)

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

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0

1

3

2

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

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[f'][g]-[f][g']/g²

[f'][g']

[f'][g]+[f][g']

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

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2

-2

0

{1/2ⁿ}ⁿ1 represent the sequence

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-1/2,-1/4,-1/8

1/2,1/4,1/7=8

0,1,1/2,1/4

log_b1/t =________

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log_bt

1-log_bt

1+log_bt

-log_bt

graph x =y²is symmetric about

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x axis

y axis

origin

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 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

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