... me is having no idea about deees one ..
~ Suppose a forest fire spreads in a circle radius changing at a rate of 5 feet per minute. when the radius reaches 200 feet , at what rate is the area of the burning region increasing? ...
Help .. or i go Die l⇀‸↼l
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OpenStudy (hba):
Let Me Give You The Idea :D
OpenStudy (anonymous):
:] im listening :3
OpenStudy (hba):
Before You Die :D
OpenStudy (anonymous):
>_ >
OpenStudy (anonymous):
yeah plz
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OpenStudy (hba):
That assumes the fire is a circular area:
\[A = πr²\]
OpenStudy (hba):
The rate of change of the circular area with respect to its radius is given by:
\[dA/dr = 2πr\]
OpenStudy (anonymous):
yup i know -..- .. i need help with that last part of the questiom :B
OpenStudy (anonymous):
question with N not M >_<' .. sowwiee
OpenStudy (hba):
However, the radius itself is changing with time - we are effectively told that:
\[dr/dt = 5\]
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OpenStudy (anonymous):
=..= r u even listening
OpenStudy (hba):
To find the rate at which the area changes with time, we appeal to the fact that:
\[dA/dt = dA/dr * dr/dt\]
OpenStudy (hba):
\[dA/dt = 2πr*5 = 10πr\]
OpenStudy (hba):
When \[r = 200 feet\]
OpenStudy (hba):
\[dA/dt = 2000π feet²/minute\]
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OpenStudy (hba):
Or,
\[dA/dt = 6283.19 feet²/minute \]
OpenStudy (anonymous):
Okie sir .. -_- sankie you i go Die noW
OpenStudy (hba):
I Dont Think So You Need To Die :)
OpenStudy (anonymous):
(✖_✖) me is Dead
OpenStudy (anonymous):
thanks .. >_ > u solved what i already know
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OpenStudy (anonymous):
=..=
OpenStudy (hba):
What Do You Want To Know Then -__- ?
OpenStudy (anonymous):
" At what rate is the area of the burning region increasing? " -_-
OpenStudy (hba):
What Does dA/dt Mean ?
OpenStudy (anonymous):
-..- why r u asking me this
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OpenStudy (anonymous):
change of rate
OpenStudy (hba):
Because I Have Already given you the answer -_-
OpenStudy (anonymous):
=.= thats what i know >_ >
OpenStudy (anonymous):
:O
OpenStudy (anonymous):
wat ..
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OpenStudy (anonymous):
when O_0
OpenStudy (anonymous):
wherre o_o
OpenStudy (hba):
dA/dt=6283.19 feet^2/minute
OpenStudy (anonymous):
uhm .. r u sure about it .. cuz i think the question is asking about something else <>_ <>
OpenStudy (anonymous):
-‿- i think .. i should ask my teacher about this one ..
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OpenStudy (anonymous):
。◕‿◕。 sankiyoo X3
OpenStudy (anonymous):
im ur fan now X]
OpenStudy (hba):
Kill Yourself :D
OpenStudy (anonymous):
O_0 omg
OpenStudy (anonymous):
>:[
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