Question # 1

2/3 is known as

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even number

irrational number

natural number

rational number

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

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

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2

-2

0

-3

lim_x→∞(-2x)=

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-2

0

2

Does not exist

y=f(x) then the average rate of change of y with with respect to x over the interval [x_o,x₁] is the _______ joining the points (x_{o ,f(}x_o₎) and (x₁f(x₁)) on the graph of f

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Slope of the secant line

Slope of the tangent line

Secent line

none of these

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

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Parabola

Single line

Two straight line

Ellipse

If a function has an extreme value (either a maximum or a minimum ) on an open interval (a,b) then the extreme value occurs at ____ of f

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First point

Mid point

Critical Point

End Point

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

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2

-2

0

The graph x=y²is symmetric about ________ axis?

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X-axis

Y-axis

Origin

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)}

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

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2

-2

0

-3

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

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 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

______ is the special case for the Taylor's theorem

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Roll's Theorem

Picard's Method

Integration

Maclaurin Theorem

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

{1/2ⁿ}ⁿ1 represent the sequence

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-1/2,-1/4,-1/8

1/2,1/4,1/7=8

0,1,1/2,1/4

What is the base of natural lograithem?

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2.71

10

5

Any real number

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

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

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

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