A circular oil slick is expanding with radius, r in feet, at time t in hours given by r=12t−0.3t2, for t in hours, 0≤t≤10.
Find a formula for A=f(t), the area of the oil slick as a function of time.
A=f(t)=
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OpenStudy (dan815):
Area of a circle = pi*r^2
OpenStudy (pulsified333):
correct
OpenStudy (dan815):
and r=12t−0.3t2,
OpenStudy (serenity74):
u wrong dannyboi
OpenStudy (dan815):
so how can you get Area in terms of only time
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OpenStudy (serenity74):
u wrong dannyboi
OpenStudy (pulsified333):
i already tried putting the R equation into the area equation
OpenStudy (dan815):
thats all there is
OpenStudy (dan815):
whats you r final expression for area?
OpenStudy (pulsified333):
pi(12t-0.3t^2)^2
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OpenStudy (serenity74):
u wrong dannyboi
OpenStudy (dan815):
okay u can expand the brackets too
OpenStudy (pulsified333):
?
OpenStudy (dan815):
expand (12t-0.3t^2)^2
OpenStudy (pulsified333):
how?
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OpenStudy (pulsified333):
0.09t^4−7.2t^3+144t^2
OpenStudy (pulsified333):
?
OpenStudy (dan815):
yeah
OpenStudy (pulsified333):
OpenStudy (dan815):
try doing 3.14* for pi
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OpenStudy (serenity74):
u wrong dannyboi
OpenStudy (pulsified333):
didnt work
OpenStudy (dan815):
you need units in your formula?
OpenStudy (dan815):
enter units dude
OpenStudy (pulsified333):
like what ft or hrs?
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OpenStudy (dan815):
yeah this is area as a function of time so
OpenStudy (pulsified333):
where should i put it?
OpenStudy (dan815):
ft^2
OpenStudy (dan815):
i dunno click on that help with units button and see the format
OpenStudy (pulsified333):
it says hr for hour and ft for feet so
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