Question # 1

The PYTHAGORAS theorem describe the relationship between the sides of

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Right angle triangle

Isoceleous Triangle

Equilateral traingle

Consider a function h(x) and a constant c then d/dx{(c){h(x)}}

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0

d/dx((h(x)))

d/dx((h(cx)))

cd/dx((h(x)))

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

The equation (x+4)²+(y+1)²=6 represent a circle having center at____ and radius

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(-4,1),undertoot 6

(-4,-11),undertoot 6

None of these

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

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2

-2

0

-3

If x>0 then d/dx[lnx]=_______

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1

x

1/x

ln 1/x

tan x is continuous everywhere except at points

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+- kπ/2 (k=1,3,5....)

+- kπ/2 (k=2,4,6....)

Not Sure

Consider two function f(x)=x³and g(x)=(x+9) then fog(x)=

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(x+9)3

x+3

x+9

Lim _x→₀sinx/x

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1

-1

0

2

______ is the special case of Taylor's Theorem

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Roll's theorem

Picard Method

Integration

The power rule d/dx[xⁿ]=nx^n-1holds if n is

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an integer

a rational number

an irrational number

all of the above

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 quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y,we say that y is ______ of x

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relation

Function

Nota function

Not a Relation

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

For a sequence {a_n}if the ration of successive terms a_n+1/ a_n>1 then the sequence is known as

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Increasing

Decreasing

Non Increasing

Non decreasing

lim_x→∞(-2x)=

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-2

0

2

Does not exist

if xy=4 they dy/dx ?

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-1/x²

4/x²

-4/x²

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

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χ

η

Σ

ψ

The lim x→a f(x)=___ where f(x)=k

The k is constant

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K+1

K+2

k

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

If f is a continuous function such that lim_x_→+_∞=+∞ andlim_x_→+_∞=+∞ the f has on

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maximum value but no minimum

minimum value but not maximum

both maximum and minimum value

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