Question

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

Answer 1

Plz Someone

Answer 2

integrate your equation

Answer 3

40*sqrt(t)+constant, now what

Answer 4

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

Answer 5

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

Answer 6

yep

Answer 7

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

Answer 8

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

Answer 9

yep

Answer 10

:D

Answer 11

What about the t >= 1

Answer 12

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