Question # 1

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

not a 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

h(x)=1/(x-2)(x-4) domain of the function is

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(-∞,2)U (2,4)U (4,+∞)

(-∞,2)U (2,4)U (4,∞)

All are incorrect

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

If f(x)=3x⁸+2x+1 then f'x)

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3x⁷+2

24x⁷+2

3x⁷+23

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

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χ

η

Σ

ψ

What is the base of natural lograithem?

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2.71

10

5

Any real number

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

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Convergent

GIve no information

Not Sure

Lim _x→₀sinx/x

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1

-1

0

2

The graph of the equation y=x²-4x+5 will represent

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Parabola

Straight Line

Ellipse

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

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