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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.
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0https://gyazo.com/4a2702de2f727a0265591e6cfd66d3a9 @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2do you see what the value of 'a' is?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2now do you see what f(x) must be?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It should be just x Final answer should be D

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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is it cool if I just post two other questions here so you can just check them? Instead of making other questions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0https://gyazo.com/b78cff91955b504f923a0d1e029f56dd https://gyazo.com/af655f0b48727eebe89ad8bbfec61f24

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2just as long as it doesn't get too cluttered

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If either one is wrong, I'll make a new question.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2They're both correct. Nice job
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