Question # 1

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

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2

-2

0

-3

d(sec x)/dx=?

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sec x tan x

sec x tan y

cosec x cot x

Let x_obe the critical point of the function f,those critical point for which f'(x_o)=0 are called _______ of

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Local points

End points

Stationary points

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

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Convergent

GIve no information

Not Sure

30^o

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π/3

π/4

π/6

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

______ is the special case for the Taylor's theorem

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Roll's Theorem

Picard's Method

Integration

Maclaurin Theorem

Consider two function f(x)=x³and g(x)=(x+9) then fog(x)=

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(x+9)3

x+3

x+9

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

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

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)}

log_ba^r=____?

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a log_br

rlog_ba

log_ba/log_br

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

How many critical points exist for a function f if f'(x)=(x-3)(x-2)

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0

1

3

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

If x>0 then d/dx[lnx]=_______

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1

x

1/x

ln 1/x

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

Sigma notation is represent by

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M

N

Σ

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

Let y=(x³+ 2x)³⁷which of the following is correct?

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dy/dx=37(x³2x)³⁶

dy/dx=111x²(x³2x)³⁶

dy/dx=(111x²+74)(x³2x)³⁶

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