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anonymous

  • one year ago

I need help on the first few steps, I'm not to sure how to do this. A vat of milk has spilled on a tile floor. The milk flow can be expressed with the function r(t) = 4t, where t represents time in minutes and r represents how far the milk is spreading. The spilled milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.

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  1. anonymous
    • one year ago
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    A vat of milk has spilled on a tile floor. The milk flow can be expressed with the function r(t) = 4t, where t represents time in minutes and r represents how far the milk is spreading. The spilled milk 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 milk as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled milk after 4 minutes? You may use 3.14 to approximate π in this problem. (4 points)

  2. anonymous
    • one year ago
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    Whole problem, but just need help getting through the first one then maybe I'll understand it.

  3. welshfella
    • one year ago
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    substitute for r = 4t in A(r) = pi r^2

  4. welshfella
    • one year ago
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    so A = pi (4t)^2

  5. welshfella
    • one year ago
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    = 16 pi t^2

  6. anonymous
    • one year ago
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    Ok, so after I do that I would times t^2? Or would I leave it alone and times it by 3.14?

  7. anonymous
    • one year ago
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    I know I would have to do the rate of change for the second part, but would it just be 3.14 times 16?

  8. welshfella
    • one year ago
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    thats the answer to Part A for Part B plug in t = 4 into 16 pi t^2 and work it out.

  9. anonymous
    • one year ago
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    Oh ok give me a moment

  10. anonymous
    • one year ago
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    welshfella can u help me with a question?

  11. anonymous
    • one year ago
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    16 pi (4)^2 16 pi (16) 16 (50.24) 803.84 This is what I got, not to sure if it's right or wrong.

  12. anonymous
    • one year ago
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    was it right??

  13. anonymous
    • one year ago
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    @faceyourfears

  14. anonymous
    • one year ago
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    And yes it was sorry for missing your comment haven't been on

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