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3 years ago

Find the end timestart time: 3:46pmelapsed: 2h 20min

Mathematics

2 answers:

Viktor [21]3 years ago

8 0

6:06 PM. hope this helped! :)

Arte-miy333 [17]3 years ago

7 0

The end time would be 6:06

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the volume v of a right circular cylinder of radius r and heigh h is V = pi r^2 h 1. how is dV/dt related to dr/dt if h is const

laiz [17]

In general, the volume

$V=\pi r^2h$

has total derivative

$\dfrac{\mathrm dV}{\mathrm dt}=\pi\left(2rh\dfrac{\mathrm dr}{\mathrm dt}+r^2\dfrac{\mathrm dh}{\mathrm dt}\right)$

If the cylinder's height is kept constant, then $\dfrac{\mathrm dh}{\mathrm dt}=0$ and we have

$\dfrac{\mathrm dV}{\mathrm dt}=2\pi rh\dfrac{\mathrm dt}{\mathrm dt}$

which is to say, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ are directly proportional by a factor equivalent to the lateral surface area of the cylinder ( $2\pi r h$ ).

Meanwhile, if the cylinder's radius is kept fixed, then

$\dfrac{\mathrm dV}{\mathrm dt}=\pi r^2\dfrac{\mathrm dh}{\mathrm dt}$

since $\dfrac{\mathrm dr}{\mathrm dt}=0$ . In other words, $\dfrac{\mathrm dV}{\mathrm dt}$ and $\dfrac{\mathrm dh}{\mathrm dt}$ are directly proportional by a factor of the surface area of the cylinder's circular face ( $\pi r^2$ ).

Finally, the general case ( $r$ and $h$ not constant), you can see from the total derivative that $\dfrac{\mathrm dV}{\mathrm dt}$ is affected by both $\dfrac{\mathrm dh}{\mathrm dt}$ and $\dfrac{\mathrm dr}{\mathrm dt}$ in combination.

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3 years ago

Let u = 14. What is the value of 4u?

77julia77 [94]

Answer: B 56

Step-by-step explanation:

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3 years ago

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Kate collected 12 coats to donate to the Winter Coat Drive.Then she collected some more coats from her family members.Now Kate h

Alika [10]

Answer:

Step-by-step explanation:

25 - 12 = 13

5 0

3 years ago

I cant do it sombody help

motikmotik

Step-by-step explanation:

hope this helps. in the first part you set the problems equal to each other. in the second, you get rid of one letter, then solve.

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2 years ago

Can someone please help

sveta [45]

Some of the problems are in scientific notation, which if you don't know how to do, I will try to explain, when you see for example 1 x 10^3, what it is saying is basically 1 x 10 x 10 x 10 so in that case 1,000, simple trick is to look at what ever number is in the top right, then add that many zeroes. So this is most likely supposed to be a division problem. if you need more help message me.

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3 years ago

Find the end timestart time: 3:46pmelapsed: 2h 20min​

Find the end timestart time: 3:46pmelapsed: 2h 20min