Question # 1

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

The equation of the line of the form y-y₁=m(x-x₁) is known as

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Point Slope form

Two points form

Intercept form

Slop intersect form

For a function f ,let f'(x_n)=0 for some n Does the newton method for work for approximating the solution of f(x)=0

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yes

no

not sure

The pythagoras theorem describe the relationship between the sides of

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right angle triangle

isoceleous triangle

equilateral traingle

log_ba^r=____?

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alog_br

r log_ba

log_ba /log_br

log_b1/c=_____?

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log_bc

1-log_bc

-log_bc

1+log_bc

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

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2

-2

0

Which of the following is true for the sequence {n}∞ n=0?

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Non increasing

non decreasing

increasing

decreasing

lim x→0⁺ln x/1/x=_______

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1

0

none of these

2/3 is known as

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even number

irrational number

natural number

rational number

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

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-1

1

1/(1-x)²

What is the length of each sub interval ,if the interval [1,3] is divided into n sub interval of equal length?

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1/n

2/n

3/n

4/n

30^o

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π/3

π/4

π/6

For a function f(x) to be continuous on interval (a,b) the function must be continuous

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At all point in (a,b)

Only at point a,b

At mid point of a and b

None of these

What is the length of each subinterval,if the interval [1,3]is divided into n sub interval of equal length?

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1/n

2/n

3/n

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

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1

-1

1/(1-x)²

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

The equation (x+4)²+(y+1)²=6 represent a circle having center at____ and radius

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(-4,1),undertoot 6

(-4,-11),undertoot 6

None of these

graph x =y²is symmetric about

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x axis

y axis

origin

The lim x→a f(x)=___ where f(x)=k

The k is constant

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K+1

K+2

k

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