Mathematics 19 Online
OpenStudy (anonymous):

OMG PLZ PLZ HELP, Mind blank... I Think I Have to Integrate It... An oil tanker aground on a reef is losing oil and producing an oil slick that is radiating out at a rate approximated by the function dr/dt=20/sqrt(t), t >= 1, where r is the radius of the circular slick in metres after t minutes. If the radius of the slick is 21 metres, after 15 seconds, find, to the nearest metre, the radius of the slick after 10 minutes

OpenStudy (anonymous):

Plz Someone

OpenStudy (zarkon):

OpenStudy (anonymous):

40*sqrt(t)+constant, now what

OpenStudy (zarkon):

you have to use the initial condition to find the value of c

OpenStudy (anonymous):

KK, 21=40*sqrt(0.25)+c so c = 1 r=40*sqrt(t)+1

OpenStudy (zarkon):

yep

OpenStudy (anonymous):

thanks, i cant belive i did not see it thank you soo much

OpenStudy (anonymous):

r=40*sqrt(10)+1=127.491 nerest meter is 127

OpenStudy (zarkon):

yep

OpenStudy (anonymous):

:D

OpenStudy (anonymous):

What about the t >= 1

OpenStudy (zarkon):

I'm not sure about that...maybe it is a typo

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