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Mathematics 18 Online
OpenStudy (anonymous):

Related Rates problem! (Calc I)

OpenStudy (anonymous):

OpenStudy (dumbcow):

\[R = pq\] \[R' = p'q + pq'\]

OpenStudy (anonymous):

but which are the pq?

OpenStudy (anonymous):

4 posters per day =q' 3$ per day = p' ?

OpenStudy (anonymous):

@dumbcow ?

ganeshie8 (ganeshie8):

Yes that wil do

ganeshie8 (ganeshie8):

p = 3, q = 70 p' = 3, q' = 4

OpenStudy (anonymous):

@ganeshie8 is the answer 222?

ganeshie8 (ganeshie8):

Yes !

OpenStudy (anonymous):

thank you so much!

ganeshie8 (ganeshie8):

thats easy to verify also :- his sales increses 4 each day : today sales are 70+4 = 74 he increased the price by 3$ : today change in price = 3 so change in revenue = 74*3 = 222

ganeshie8 (ganeshie8):

np :)

OpenStudy (anonymous):

do you think you could also help me out with this one?

OpenStudy (anonymous):

@ganeshie8 ?

ganeshie8 (ganeshie8):

do the implicit differentiation, and find dx/dt in terms of x and y

ganeshie8 (ganeshie8):

\(\large 6x^3 + 5y^3 = xy\) \(\large 18x^2 x' + 15y^2y' = xy' + x'y\)

ganeshie8 (ganeshie8):

you knw \(x, y, y'\), plug them above and solve \(x'\)

OpenStudy (anonymous):

oooh i see i see. let me try to get the answer. hold on.

ganeshie8 (ganeshie8):

okiee

OpenStudy (anonymous):

ummm i got 88 but that's one of my answer choices :/

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

im getting x' = -20/7

OpenStudy (anonymous):

yeah that's an answer choice. let me try it again.

ganeshie8 (ganeshie8):

ok good

OpenStudy (anonymous):

Thank you so much @ganeshie8 ! I got -20/7! I did it right!

ganeshie8 (ganeshie8):

glad to hear :)

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