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

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

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

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1

-1

1/(1-x)²

If there is some function F such that d/dx[F(x)]=f(x) then any of the function of the form F(x)+C is _________ of f(x)

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Derivative

Antiderivative

Slope

Maximum value

The PYTHAGORAS theorem describe the relationship between the sides of

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Right angle triangle

Isoceleous Triangle

Equilateral traingle

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

d/dx[cosec x]

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1/1+cos²x

-cos x/1-cos²x

1/1-cos²x

If a slope m of a nonvertical line is m=1 then the angle of inclination of the line is

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π /4

π /2

π /5

Polynomials are always ________ function

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Continuous

Discontinuous

Not Sure

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

In alternating series test ,which one of the following condition must be satisfied

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lim k→∞ a_k=1

a₁>a₂>a_{3...............>a}k

a₁<a₂<a_{3...............<a}k

The graph x=y²is symmetric about ________ axis?

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X-axis

Y-axis

Origin

What is the base of natural lograithem?

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2.71

10

5

Any real 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']

(x²-4)/(x-2) Natural domain is

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(-∞,2)U (2,+∞)

(-∞,2)

(-∞,0)

None of these

If f is a twice differentiable function at stationary point x_oan f'(x_o) >0 then f has relative _______ At x_o

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Minima

Maxima

None of these

log_bac=_____

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log_ba +log_bc

log_ba - log_bc

log_ba /log_bc

log_ba *log_bc

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

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)

if xy=4 they dy/dx ?

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-1/x²

4/x²

-4/x²

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