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shes.radical
 one year ago
I really do not get this :/
A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading.
The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.
Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work.
Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.
shes.radical
 one year ago
I really do not get this :/ A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled paint as a function of time, or A[r(t)]. Show your work. Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem.

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1A[r(t)] means substitute r for r(t) function into A(r)

shes.radical
 one year ago
Best ResponseYou've already chosen the best response.0...what? so then its \[A[r(t)]=3.14(10^2)+3t ?\] i dont get it..

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1don't add r(t) = what ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right so you can replace r(t) with 3t A(3t) =pi r^2 replace r with 3t don't add 3t

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right \[\huge\rm A(\color{red}{r(t)})=A(\color{ReD}{3t})= \pi\color{Red}{ r}^2\] ^replace r with 3t and then take square

shes.radical
 one year ago
Best ResponseYou've already chosen the best response.0....so then its \[A(3t)=3.14*3^2?\]

shes.radical
 one year ago
Best ResponseYou've already chosen the best response.0okay so then its \[A(3t)=3.14(3t^2)\] now what ..

shes.radical
 one year ago
Best ResponseYou've already chosen the best response.0which is \[9(t^2)\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right \[\huge\rm A(\color{red}{r(t)})=A(\color{ReD}{3t})= 9t^2\pi\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1part B substitute t for 10

shes.radical
 one year ago
Best ResponseYou've already chosen the best response.0\[9(10^2)(3.14)=2826\]

shes.radical
 one year ago
Best ResponseYou've already chosen the best response.0so, Part A: \[A[r(t)]=A(3t)=9t^2 \pi\] and Part B: \[9(10^2)(3.14)=2826\] right? thats the answer right?? :D

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1or you can say 9pit^2 :D

shes.radical
 one year ago
Best ResponseYou've already chosen the best response.0you're awesome..thank you thank you thank you!!
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