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 one year ago
somebody please help me..got test tonight but still dunn how to solve this...
The base of a triangle increases at the rate 2cm per second, and height decreases at the rate of 1/2cm per second.Find the rate of change f its area when the base and height are of length 5cm... ? T.T helpp
 one year ago
somebody please help me..got test tonight but still dunn how to solve this... The base of a triangle increases at the rate 2cm per second, and height decreases at the rate of 1/2cm per second.Find the rate of change f its area when the base and height are of length 5cm... ? T.T helpp

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Ika_Kim
 one year ago
Best ResponseYou've already chosen the best response.0you know agent00smith ?

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0hmm.... we know \[A = 0.5 b h\] \[\frac{ db }{ dt } = 2 (cm/s)\] \[\frac{ dh }{ dt }= 0.5 (cm/s)\] We need \[\frac{ dA }{ dt } = ?\]

Ika_Kim
 one year ago
Best ResponseYou've already chosen the best response.0but we have t differentiate A with respect to ??

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0Yeah that's what i'm trying to think of...

Ika_Kim
 one year ago
Best ResponseYou've already chosen the best response.0o.O ok ... i really dunno how to relate that

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hmm are we assuming this is a `right` triangle? :o

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1I guess it would have to be, otherwise we need more information. :) Looks like agent was on the right track. Both \(\large b\) and \(\large h\) are variables. Just apply the product rule! :D

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Differentiate with respect to time*

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0Yeah that's what I was thinking... differentiate A wrt t

Ika_Kim
 one year ago
Best ResponseYou've already chosen the best response.0huh ??? yeahh differentiate wrt time . that is wwhat we want to find

Ika_Kim
 one year ago
Best ResponseYou've already chosen the best response.0im not clear with that

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0But then that seems to make the actual values of the base and height unnecessary, but maybe that's okay.... \[\frac{ dA }{ dt} = 0.5 \frac{ db }{ dt}\frac{ dh }{ dt}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Woops, product rule! :O

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large A=\frac{1}{2}bh\]\[\large A'=\frac{1}{2}b'h+\frac{1}{2}bh'\]Something like that, yes? :D

Ika_Kim
 one year ago
Best ResponseYou've already chosen the best response.0huhh ????? how can...i dont undrstand...

Ika_Kim
 one year ago
Best ResponseYou've already chosen the best response.0wow.....yeahh!!! correct answer !!! greatt !! thank you so much guys ! love uollsz!! :D
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