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torisob [31]
3 years ago
11

Calculus I Related Rates:

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0
Let s be the hypotenuse and using the Pythgorean theorem, 

<span><span>s2 </span>= 25 + <span>x2</span></span>taking the first derivative of the function with respect to t, the result is <span>2s <span><span>ds /</span><span>dt </span></span>= 2x <span><span>dx/ </span><span>dt</span></span></span><span>substituting s = 10 and ds/dt= 240,
 we get x = sqrt(100-25) = 5</span>√3
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The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle
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Answer:

t = 42857.14 h

Step-by-step explanation:

Given that,

The speed of space shuttle, v = 28000 km/h

We know that, the distance between the Saturn and the Earth is 1,200,000,000 km.

Let t be the time.

As we know, speed = distance/time

So,

t=\dfrac{d}{v}\\\\t=\dfrac{1,200,000,000}{28000}\\\\t=42857.14\ h

So, the required time is equal to 42857.14 hours.

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