A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
I seriously need help with question with polynomials. Please help me? Medal and fan!
anonymous
 one year ago
I seriously need help with question with polynomials. Please help me? Medal and fan!

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A 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. (6 points) Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem. (4 points)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Um, Haseeb? Are you there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Hero If you have the time can you help me out with this?

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Can you calculate A for a given value of t? Say t = 2, what will be the painted area?

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Ok, so you can solve part B.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, but Part A is what I'm having trouble with.

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Cool. Take the same steps as for part B, but instead of using 10 just keep t. You won't get a number but an expression involving t.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it would A[r(t)]=πr2+3t?

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Just to check, what result did you get for part B?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I haven't done Part B yet.

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2You should. It will help with part A. It also makes it easier to understand someone else's explaination, if you'll still need help.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait, but what is the radius of the spilled paint?

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2r(t) = 3t, where t represents time in minutes and r represents how far the paint is spreading.

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2so r is meant to be the radius

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, so the paint is spreading equivalent to the radius of the circle?

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2The radius of the painted circle is increasing as time goes on. So it's 3 after 1 minute, 6 after 2 minutes, etc.

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2what did you get for the radius after 10 minutes?

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Let me check how I can write pretty expressions real quick. :)

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2\[A =\pi r ^{2}\]

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Is that what you used?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Because 30 is the radius after 10 minutes.

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2When I plug in r = 30 I get\[\pi (30)^{2} = 900\pi= 900x3.14 = 2826\]

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Hm, seems like your first answer was almost right, just off by a factor of 10 for some reason.

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Yes. Now for part A.

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2The idea is the same, but now instead of pluging in 30 into A = πr2 you plug in 3t

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2More like pi*(3t)^2

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Probably should be simplified to 9*pi*t^2

beginnersmind
 one year ago
Best ResponseYou've already chosen the best response.2Yes. It gives you an expression to calculate the area directly from time. Without having to calculate the radius first.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.