Question # 1

2/3 is known as

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even number

irrational number

natural number

rational number

Suppose that f and g are differentiable function of f x then d/dx(f)(g)=

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[f'][g]-[f][g']/g²

[f'][g']

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

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

An object is displaced 1m by a force of 1N then the work done

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2

1

0

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

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.....)

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

If y=1/1-x the dy/dx=____?

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-1

1

1/(1-x)²

(x²-4)/(x-2) Natural domain is

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(-∞,2)U (2,+∞)

(-∞,2)

(-∞,0)

None of these

Let y=(x³+2x)³⁷ Let Which of the following is correct?

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dy/dx=(37)(x³+2x)³⁶

dy/dx=(111x²)(x³+2x)³⁶

dy/dx=(111x²+74)(x³+2x)³⁶

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)))

What is the base of natural lograithem?

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2.71

10

5

Any real number

According to the 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

nxⁿ⁺¹

If the geometric series a+ar+ar²+ar³.......+ar^{k-1 which of the following is true for the given series}

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converges

Diverges

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log_b1/c=_____?

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log_bc

1-log_bc

-log_bc

1+log_bc

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

lim x→0⁺ln x/1/x=_______

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1

0

none of these

If f(x)=3x⁸+2x+1 then f'x)

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3x⁷+2

24x⁷+2

3x⁷+23

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

log_ba^r=____?

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a log_br

rlog_ba

log_ba/log_br

y=1/1-x dy/dx if then

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1

-1

1/(1-x)²

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