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Math Help - Integration Word Problem

  1. #1
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    Integration Word Problem

    Can someone help me solve problem #24 that I attached. I am a little confused by the wording of part a and b. Would I solve a by taking the interval 0-4 for my low and from 5 to 1 for my high interval?

    Then take 5 to 7 for the low and 8 to 6 for the high of part b?
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  2. #2
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    You've got the idea. Parts (a) and (b) are essentially the same - to get the lower bound, you use the smaller value (so for 0-1, you use 50, for 1-2, you use 70, etc.). To get the upper bound, you use the larger value (so for 0-1, you use 70, for 1-2, you use 97, etc.). In (a) you sum the 5 intervals from 0 to 5, and in (b) you sum the 8 intervals from 0 to 8.

    To do (c), you use your upper and lower bound for how much has leaked from 0 to 8, and calculate how much time it takes to empty the tanker at a constant 720 gal/h in both cases.

    - Hollywood
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