Question # 1

Suppose that we apply newton method to approximate the real solution of the equation x³-2x²-1=0 if we start at x₁=2,then which of the following is value of x₂?

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6

2.25

0

2

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

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1

x

1/x

ln 1/x

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

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Convergent

GIve no information

Not Sure

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

Tan(x) is continuous every where except at points

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+- kπ/2 where k=(1,3,5.....)

+- kπ/2 where k=(2,4,6.....)

+- kπ/2 where k=(1,2,3,4,5,6.....)

tan x is continuous everywhere except at points

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+- kπ/2 (k=1,3,5....)

+- kπ/2 (k=2,4,6....)

Not Sure

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 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

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

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

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2

-2

0

-3

(x²-4)/(x-2) Natural domain is

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(-∞,2)U (2,+∞)

(-∞,2)

(-∞,0)

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

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

d/dx[cosec x]

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1/1+cos²x

-cos x/1-cos²x

1/1-cos²x

log_bac=_________

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log_ba + log_bc

log_ba - log_bc

log_ba/log_bc

log_ba * log_bc

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