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| Step Function II (Posted on 2011-08-06) |
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A step function f(x) is defined on the interval [0, 1)
From [0, 2/3), the step is 4/5 high.
From [2/3, 8/9), the step is 24/25 high.
From [8/9, 26/27), the step is 124/125 high.
From [1 - 3-k, 1 - 3-(k+1)), the step is 1 - 5-(k+1) high.
What is the exact area under the step function?
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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The required area is 6/7.
For a detailed explanation, refer to the respective solutions posted by Gamer and Charlie in the comments.
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