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Dmitriy789 [7]
3 years ago
6

Pls pls answer this asap no wrong answers pls

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

20, increased, Bianca

Step-by-step explanation:

First one:

He is shown to have travelled 20km in 1 hour, so that's 20km/h.

Second:

The gradient is how steep the curve is, the steeper the faster the person is travelling. Due to the fact Bianca's curve becomes steeper, it shows she is travelling faster. Therefore, her running speed increases.

Third:

Bianca's line hits 50km before Alberto, so therefore she finished first.

Let me know if this makes sense, hope it helped! :D

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The radius r(t)r(t)r, (, t, )of the base of a cylinder is increasing at a rate of 111 meter per hour and the height h(t)h(t)h, (
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Answer:

The volume is decreasing at a rate 20π cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

The radius is increasing at a rate 1 meter per hour.

\dfrac{dr}{dt} = 1\text{ meter per hour}                

The height is decreasing at a rate 4 meter per hour  

\dfrac{dh}{dt} = -4\text{ meter per hour}

At an instant time t,

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h = 8 meters

Volume of cylinder =

\pi r^2 h

where r is the radius and h is the height of the cylinder.

Rate of change of volume is given by:

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Putting all the values we get,

\dfrac{dV}{dt} = 2\pi (5)(8)(1) + \pi (5)^2(-4)\\\\\dfrac{dV}{dt} = 80\pi - 100\pi = -20\pi \approx -62.8

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.      

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