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lianna [129]
3 years ago
13

(3+h)^3-27/h Lim--->0 help pls. ...?

Mathematics
1 answer:
iragen [17]3 years ago
7 0
[(3 + h)³ - 27]/h
= (27 + 27h + 9h² + h³ - 27) /h
= h(h² + 9h + 27)/h
= h² + 9h + 27
h → 0
= 0 + 0 + 27
= 27
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If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o
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ANSWER

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EXPLANATION

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v(t)=2  \sin(t)   \:  \:  {ms}^{ - 1}

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s(t) = \int \: 2 \sin(t) dt

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At time t=0, there was no displacement.

This implies that,

s(0) = 0

0=  -  2 \cos(0)  + k

0=  -  2 + k

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The displacement function then becomes,

s(t) =  -  2 \cos(t)  + 2

To find the displacement over the first π seconds, we put

t = \pi

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s(\pi) =  -  2 \cos(\pi)  + 2

s(\pi) =  -  2 ( - 1)  + 2

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3 years ago
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velikii [3]

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d

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marusya05 [52]

Answer:

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In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .

Total no of people is =  18 + 29 + 13 = 60

If a person is selected at random ,

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The probability of person preferred coffee = \frac{29}{60}

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Probability that the person preferred milk as his or her primary drink =

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Answer:

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