Mathematics
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OpenStudy (anonymous):
picture below pls help
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OpenStudy (anonymous):
OpenStudy (anonymous):
@Directrix hey pls help
OpenStudy (anonymous):
@iambatman hey pls help me
OpenStudy (anonymous):
@jim_thompson5910 hey can you please help me
OpenStudy (anonymous):
@calculusxy hey can you help me pls
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jimthompson5910 (jim_thompson5910):
The area of a circle is \[\Large A = \pi*r^2\]
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
they gave you the radius in terms of t
basically it's a function that measures what the radius is at any given t value
jimthompson5910 (jim_thompson5910):
so you plug in \[\Large r(t) = 200\sqrt{t}\] and simplify
OpenStudy (anonymous):
what do you mean
plug in R(t) into the area?
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jimthompson5910 (jim_thompson5910):
\[\Large A = \pi*r^2\]
\[\Large A = \pi*(r )^2\]
\[\Large A = \pi*(r(t) )^2\]
\[\Large A = \pi*(200\sqrt{t} )^2\]
\[\Large A = ???\]
OpenStudy (anonymous):
i think i can leave it like that
jimthompson5910 (jim_thompson5910):
no you should simplify
jimthompson5910 (jim_thompson5910):
you have one more step to go
OpenStudy (anonymous):
alright i don't know how to do that
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jimthompson5910 (jim_thompson5910):
square 200 to get ???
OpenStudy (anonymous):
14.1
jimthompson5910 (jim_thompson5910):
not square root
jimthompson5910 (jim_thompson5910):
this is what i mean 200^2 = 200*200 = ???
OpenStudy (anonymous):
40000
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OpenStudy (anonymous):
and what do i do after ?
jimthompson5910 (jim_thompson5910):
square \(\Large \sqrt{t}\) to get ???
OpenStudy (anonymous):
t?
jimthompson5910 (jim_thompson5910):
yep
OpenStudy (anonymous):
i honesty don't know.. does it stay at t?
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jimthompson5910 (jim_thompson5910):
\[\Large A = \pi*r^2\]
\[\Large A = \pi*(r )^2\]
\[\Large A = \pi*(r(t) )^2\]
\[\Large A = \pi*(200\sqrt{t} )^2\]
\[\Large A = 40000\pi t\]
OpenStudy (anonymous):
Thank you so much!!!
jimthompson5910 (jim_thompson5910):
np