Question

can someone try to help me out a little bit with related rates problems?

Answer 1

What about them?

Answer 2

well...pretty much everything haha, i can get to the point where i can draw out a picture and find what rates are given and for the most part, which rate we are looking for, i just have trouble introducing the derivative notation after finding the correct "related rate" equation to use and solving the problem

Answer 3

i have a few problems i am trying to work out if it would be easier to walk me thru one so i could see the steps

Answer 4

I'll use a few problems from Physics that require this concept to help you with it.

Answer 5

okay, awesome thanks!

Answer 6

Problem 1: Boyle's law states that at a constant temperature, the pressure of a gas, P Pascals, is inversely proportional to its volume, V m3. Given that P = 2 Pascals when V = 300 m3, and that the pressure is increasing at a constant rate of 3 Pascals per second, find the rate of change of volume with respect to time.

Answer 7

haha...oh man you picked a good one

Answer 8

im honestly not too sure where to start with this one..

Answer 9

Then suppose now I want you to find rate of change of volume with respect to time when P = 20 Pascals.
Then just substitute P = 20, you will get -4.5 m3 / sec

Answer 10

Do you want another one? I'll use Faraday's Law as an example...

Answer 11

yeah i think another one might be a little easier to understand haha, thanks

Answer 12

Faraday’s Law states that the magnitude electromotive force ε Volts induced is equivalent to negative the rate of change of magnetic flux ΦB linking the coil, with respect to time t. Suppose we have a coil which obeys the following equation, find the rate of change of electromotive force with respect to time when t = π seconds.
\[\Phi_{B} = 4 \sin \left( 5t - \frac{π}{6} \right)\]

Answer 13

haha holy crap...this one is pretty confusing too, could you try to explain like the last one, maybe ill see it

Answer 14

Sorry, the problems may be complicated since I just watched some Physics lectures on ocw... Haha

Answer 15

hahah its alright

Answer 16

yeah we're doing the more simple ones i guess haha, just like the normal, "2 cars leave from one point, one goes x East and one goes x South blah blah find the distance between them after x hours blah blah"

Answer 17

or the ole liquid through a cone one haha

Answer 18

That was a second derivative problem... Oops...

Answer 19

haha, its okay

Answer 20

Would you mind if I add another part into it to make it a rate of change problem?

Answer 21

no go right ahead if i can somehow learn these problems by any means ill be happy haha

Answer 22

Hey, im sorry but i actually have to leave for a little bit, i have to go to a class haha, feel free to post the last part to that question if you still want too, i will check it out when i get back, if not its no worries at all, thanks for your time!!

Answer 23

You can download the solutions to both problems here:
http://www.megaupload.com/?d=FHGSXUZ6