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anonymous

  • one year ago

Can someone please check my answers?! Medal + Fan!

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  1. anonymous
    • one year ago
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    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. (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)

  2. anonymous
    • one year ago
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    I'm still working on Part B.

  3. DanJS
    • one year ago
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    that looks right for part A

  4. DanJS
    • one year ago
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    For the growing circle, The Area is a function of the radius, and the radius i a function of time...

  5. DanJS
    • one year ago
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    Area----->Radius---->time

  6. DanJS
    • one year ago
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    use t=10 min in your Area function

  7. anonymous
    • one year ago
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    My mom helped me with Part B, but neither of us really understand it. We kinda suck at math, unfortunately :/

  8. anonymous
    • one year ago
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    @DanJS If the area is a function of the radius and the radius is a function of time, wouldn't I have to use t = 10 in my radius function and not the area function?

  9. DanJS
    • one year ago
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    it doesnt matter, try it both ways, same answer

  10. DanJS
    • one year ago
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    Calculating A(r(t)) is the same as first finding r(t) then using that in A(r)

  11. DanJS
    • one year ago
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    Right, and the same answer if you use A(r(t)) 28.26 * 10^2 = 2826

  12. anonymous
    • one year ago
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    So my work is right?

  13. DanJS
    • one year ago
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    yes, looks good

  14. anonymous
    • one year ago
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    Thank you so much! I really appreciate your help! :)

  15. DanJS
    • one year ago
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    no prob, goodluck

  16. anonymous
    • one year ago
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    what was part A?

  17. anonymous
    • one year ago
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    π(3t)^2 ^ That equation will help you find the answer. You multiply 3.14 times 3^2 times t^2

  18. anonymous
    • one year ago
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    So it'll look like: (3.14)(9)(t^2) Then multiply. The answer is 28.26t^2

  19. anonymous
    • one year ago
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    Wait can you please explain what is part A and B? please

  20. anonymous
    • one year ago
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    @DanJS please help me

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