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Mathematics 24 Online
OpenStudy (anonymous):

picture below pls help

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

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?

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

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

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?

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

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