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Mathematics 7 Online
OpenStudy (anonymous):

... 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

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

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: \[dr/dt = 5\]

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):

\[dA/dt = 2000π feet²/minute\]

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

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

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 ..

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 ..

OpenStudy (anonymous):

。◕‿◕。 sankiyoo X3

OpenStudy (anonymous):

im ur fan now X]

OpenStudy (hba):

Kill Yourself :D

OpenStudy (anonymous):

O_0 omg

OpenStudy (anonymous):

>:[

OpenStudy (anonymous):

or maybe i will kill u >:[]

OpenStudy (anonymous):

щ(ಠ益ಠщ)

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