Question # 1

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

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0

1

3

2

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

The PYTHAGORAS theorem describe the relationship between the sides of

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Right angle triangle

Isoceleous Triangle

Equilateral traingle

The graph x=y²is symmetric about ________ axis?

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X-axis

Y-axis

Origin

{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

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

Lim _x→₀sinx/x

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1

-1

0

2

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

if xy=4 then dy/dx =?

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0

-1/x²

-4/x²

Center and radius of the circle is (x+5)²+(y-3)²=16 is

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(-5,3),4

(5,-3),16

(5,-3),4

None of these

The lim x→a f(x)=___ where f(x)=k

The k is constant

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K+1

K+2

k

if 2x-y=-3 they dy/dx=?

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2

-2

0

-3

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

For a graph to be symmetric about y axis mean ,for each point (x,y) on the graph the point ____ is also on the graph

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(x,-y)

(-x,y)

(-x,-y)

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

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

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

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Divergent

Convergent

Give no information

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 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

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

A function f is called antiderivative of a function on a given interval if ______ =f(x),for all x in that interval

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F'(x)

F(x)

f(x)

f''(x)

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