Question # 1

Average velocity of a body is V_ave

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d₁-d_o/ t₁- t_o

t₁- t_o/f(t₁₎- f(t_o)

_f(t₁₎- f(t_o)/t₁- t_o

None of these

if xy=4 then dy/dx =?

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0

-1/x²

-4/x²

a function f is ___ on a closed interval [a,b] ,then f has both a maximum and minimum value on [a,b]

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Continuous

Discontinuous

None of these

Which of the following are first two terms for the taylor series of f(x)=e^-xat x=0?

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1+(1)(x-0)

1+(-1)(x-0)

1+(-1)(x+0)

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

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-1

1

1/(1-x)²

log_b1/c=_____?

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log_bc

1-log_bc

-log_bc

1+log_bc

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 power rule d/dx[xⁿ]=nx^n-1holds if n is

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an integer

a rational number

an irrational number

all of the above

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

lim x→0⁺ln x/1/x=_______

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1

0

none of these

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