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anonymous

  • one year ago

The Riemann sum, the limit as the maximum of delta x sub i goes to infinity of the summation from i equals 1 to n of f of the quantity x star sub i times delta x sub i , is equivalent to the limit as n goes to infinity of the summation from i equals 1 to n of f of the quantity a plus i times delta x, times delta x with delta x equals the quotient of the quantity b minus a and n. Write the integral that produces the same value as the limit as n goes to infinity of the summation from i equals 1 to n of the product of the quantity 2 plus 3 times i over n and 3 over n.

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  1. anonymous
    • one year ago
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    https://gyazo.com/4a2702de2f727a0265591e6cfd66d3a9 @jim_thompson5910

  2. anonymous
    • one year ago
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    Same rules correct?

  3. jim_thompson5910
    • one year ago
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    do you see what the value of 'a' is?

  4. anonymous
    • one year ago
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    a=2 b=5

  5. jim_thompson5910
    • one year ago
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    good

  6. jim_thompson5910
    • one year ago
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    now do you see what f(x) must be?

  7. anonymous
    • one year ago
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    It should be just x Final answer should be D

  8. jim_thompson5910
    • one year ago
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    I can't see your answer choices, but you'll find that a = 2 b = 5 f(x) = x so \[\Large \lim_{n \to \infty}\sum_{i=1}^{n}\left(2+\frac{3i}{n}\right)*\frac{3}{n} = \int_{2}^{5}x dx\]

  9. anonymous
    • one year ago
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    https://gyazo.com/f9c6a5061ff442c9b97d4c357dd71289 :)

  10. jim_thompson5910
    • one year ago
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    yep it's D

  11. anonymous
    • one year ago
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    Is it cool if I just post two other questions here so you can just check them? Instead of making other questions?

  12. jim_thompson5910
    • one year ago
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    sure

  13. jim_thompson5910
    • one year ago
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    just as long as it doesn't get too cluttered

  14. anonymous
    • one year ago
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    If either one is wrong, I'll make a new question.

  15. jim_thompson5910
    • one year ago
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    They're both correct. Nice job

  16. anonymous
    • one year ago
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    Appreciate it man

  17. jim_thompson5910
    • one year ago
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    no problem

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