Question # 1

If f(x)=e^-xat x=0 be the taylor series ,then which of the following is also true?

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Arithmetic Series

Maclaurin Series

Geometric Series

Harmonic Series

If f''(x)<0 on an open interval (a,b) then which of the following statement is correct

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f is concave up on (a,b)

f is concave down on (a,b)

f is linear on a,b

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

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2

-2

0

-3

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

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

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Parabola

Single line

Two straight line

Ellipse

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

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2

-2

0

-3

no of x and y are intercept for the equation y=1/x

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Two x intercepts

Two y intercepts

No x and y intercept correct

None of these

log_b1/c=_____?

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log_bc

1-log_bc

-log_bc

1+log_bc

d/dx[cosec x]

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1/1+cos²x

-cos x/1-cos²x

1/1-cos²x

Consider the following 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)}

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

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1

-1

1/(1-x)²

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