Mathematics: Reimann i got it wrongand provide step by step clear explaination. i d appreciate it.

Reimann i got it wrongand provide step by step

Ответ:

citlalli30

08.01.2022

Formula for Riemann Sum is:
$\frac{b-a}{n} \sum_{i=1}^n f(a + i \frac{b-a}{n})$
interval is [1,3] so a = 1, b = 3
f(x) = 3x , sub into Riemann sum

$\frac{2}{n} \sum_{i=1}^n 3(1 + \frac{2i}{n})$

Continue by simplifying using properties of summations.
$= \frac{2}{n}\sum_{i=1}^n 3 + \frac{2}{n}\sum_{i=1}^n \frac{6i}{n} \\ \\ = \frac{6}{n}\sum_{i=1}^n 1 + \frac{12}{n^2}\sum_{i=1}^n i \\ \\ =\frac{6}{n} (n) + \frac{12}{n^2}(\frac{n(n+1)}{2}) \\ \\ =6+\frac{6}{n}(n+1) \\ \\ =12 + \frac{6}{n}$

Now you have an expression for the summation in terms of 'n'.

Next, take the limit as n-> infinity.
The limit of $\frac{6}{n}$ goes to 0, therefore the limit of the summation is 12.

The area under the curve from [1,3] is equal to limit of summation which is 12.

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Ответ:

joelpimentel

03.02.2022

Mathematics

Triangle JKL is congruent to triangle

✔ ABC

Side LK corresponds to sides

✔ WV and CB

Angle JLK corresponds to angles

✔ UWV and ACB

Step-by-step explanation:

just did it on edge 2020

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Reimann i got it wrongand provide step by step clear explaination. i'd appreciate it.

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