Question # 1

If there is some function F such that d/dx[F(x)]=f(x) then antiderivatives of f(x) are F(x)+C .What does C represent?

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Polynomial

Constant

Dependent variable

Independent variable

log_ba^r=____?

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a log_br

rlog_ba

log_ba/log_br

Suppose that f and g are differentiable function of x then d/dx[f][g]=

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[f'][g]-[f][g']/g²

[f'][g']

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

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

if xy=4 then dy/dx =?

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0

-1/x²

-4/x²

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

Give no information

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)

The pythagoras theorem describe the relationship between the sides of

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right angle triangle

isoceleous triangle

equilateral traingle

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

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

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-1

1

1/(1-x)²

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

30^o

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π/3

π/4

π/6

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)))

y=x²/2

Let find the average rate of change of y with respect to x over the interval [3,4]

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25/2

7/2

25/14

7/14

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

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

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