Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

I have a question on related rates problem

OpenStudy (goldphenoix):

Write the question. :) Everyone is waiting for you.

OpenStudy (anonymous):

A cylindrical tank of radius 2.5 feet is being drained of water at a rate of 0.25 ft3/sec. How fast is the height of the water decreasing?

OpenStudy (anonymous):

Wait i actually figured this one out.... i have a question on a more complicated one

OpenStudy (anonymous):

OpenStudy (anonymous):

please help!!

OpenStudy (jbo11):

Ok well i think you could solve the changing rate like this

OpenStudy (jbo11):

|dw:1383423719258:dw|

OpenStudy (jbo11):

and solve for c with a^2+b^2=c^2 to get the rate

OpenStudy (anonymous):

that would give you the rate of c correct? but when it says person B starts walking 4 seconds after Person A does that matter?

OpenStudy (jbo11):

yea thinking

OpenStudy (anonymous):

I solved for C and got 3.6

OpenStudy (jbo11):

hmm this is tricky let's try and think together on this k?

OpenStudy (anonymous):

yes

OpenStudy (jbo11):

ok I may have thought of a way, do you have an answer book or sheet to check your answers?

OpenStudy (anonymous):

unfortunetly not

OpenStudy (jbo11):

ok, and you have learned derivatives and implicit differentiation?

OpenStudy (anonymous):

yeah... i took the derivative of pythagoreus theorum but don't know what to do next... i plugged in 500 for a and aprime as 2... and 300 for b and bprime as 3 and then c is 583.09 and left to solve for dprime

OpenStudy (jbo11):

yup same ok so that will give us the rate for if they both were to go at the same time. however, B doesn't move until 4 seconds later, so for part a, the rate of difference for if a moves for 3 secs i think we could ignore B and simply use a and a' and c and d'

OpenStudy (jbo11):

think that makes sense?

OpenStudy (anonymous):

im confused

OpenStudy (jbo11):

yea ok i'll show you what i mean, and it's a rather more guess than answer

OpenStudy (jbo11):

|dw:1383424920075:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!