By dragging all of the statements from the left column to the right column below, display a complete calculation of ₂³(5 + 4x) dx using Riemann sums. Statements to choose from: Drag these statements to the right column. [²15 + (5+4x) dx = lim n-00 = lim n→∞ = lim n→∞0 = lim n→∞ lim n-00 = lim n→∞ 12 k=1 = lim [1/³ + 2/2 (2k − 1)] n→∞0 n k=1 k=1 k=1 f(xk) Ax 13 + 2) = 15 (1³n+ 2²/2 n²) [(5 + 4(2 + ½ (2k − 1))) ½] n 32 2k - [(13 + 2/12 (2k − 1)) 1/2] Your solution: Put the statements in order in this column and press the Submit Answers button.
By dragging all of the statements from the left column to the right column below, display a complete calculation of ₂³(5 + 4x) dx using Riemann sums. Statements to choose from: Drag these statements to the right column. [²15 + (5+4x) dx = lim n-00 = lim n→∞ = lim n→∞0 = lim n→∞ lim n-00 = lim n→∞ 12 k=1 = lim [1/³ + 2/2 (2k − 1)] n→∞0 n k=1 k=1 k=1 f(xk) Ax 13 + 2) = 15 (1³n+ 2²/2 n²) [(5 + 4(2 + ½ (2k − 1))) ½] n 32 2k - [(13 + 2/12 (2k − 1)) 1/2] Your solution: Put the statements in order in this column and press the Submit Answers button.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![By dragging **all** of the statements from the left column to the right column below, display a complete calculation of \(\int_{2}^{3} (5 + 4x) dx\) using Riemann sums.
**Statements to choose from:** Drag these statements to the right column.
1. \(\int_{2}^{3} (5 + 4x) dx = \lim_{{n \to \infty}} \sum_{{k=1}}^{n} f(\bar{x}_k) \Delta x\)
2. \(= \lim_{{n \to \infty}} \left(13 + 2\right) = 15\)
3. \(= \lim_{{n \to \infty}} \left(\frac{13}{n} + \frac{2}{n^2} n^2\right)\)
4. \(= \lim_{{n \to \infty}} \sum_{{k=1}}^{n} \left[\frac{13}{n} + \frac{2}{n^2} (2k - 1)\right]\)
5. \(= \lim_{{n \to \infty}} \sum_{{k=1}}^{n} \left[(5 + 4\left(2 + \frac{1}{2n}(2k - 1)\right)) \frac{1}{n}\right]\)
6. \(= \lim_{{n \to \infty}} \left(\frac{13}{n} \sum_{{k=1}}^{n} [1] + \frac{2}{n^2} \sum_{{k=1}}^{n} [2k - 1]\right)\)
7. \(= \lim_{{n \to \infty}} \sum_{{k=1}}^{n} \left[(13 + \frac{2}{n}(2k - 1)) \frac{1}{n}\right]\)
**Your solution:** Put the statements in order in this column and press the Submit Answers button.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ba37d91-3081-42ea-952f-3d2c5579a63d%2Fa26b88a4-d894-4a99-a444-adbdef531f34%2Flv8l35u_processed.png&w=3840&q=75)
Transcribed Image Text:By dragging **all** of the statements from the left column to the right column below, display a complete calculation of \(\int_{2}^{3} (5 + 4x) dx\) using Riemann sums.
**Statements to choose from:** Drag these statements to the right column.
1. \(\int_{2}^{3} (5 + 4x) dx = \lim_{{n \to \infty}} \sum_{{k=1}}^{n} f(\bar{x}_k) \Delta x\)
2. \(= \lim_{{n \to \infty}} \left(13 + 2\right) = 15\)
3. \(= \lim_{{n \to \infty}} \left(\frac{13}{n} + \frac{2}{n^2} n^2\right)\)
4. \(= \lim_{{n \to \infty}} \sum_{{k=1}}^{n} \left[\frac{13}{n} + \frac{2}{n^2} (2k - 1)\right]\)
5. \(= \lim_{{n \to \infty}} \sum_{{k=1}}^{n} \left[(5 + 4\left(2 + \frac{1}{2n}(2k - 1)\right)) \frac{1}{n}\right]\)
6. \(= \lim_{{n \to \infty}} \left(\frac{13}{n} \sum_{{k=1}}^{n} [1] + \frac{2}{n^2} \sum_{{k=1}}^{n} [2k - 1]\right)\)
7. \(= \lim_{{n \to \infty}} \sum_{{k=1}}^{n} \left[(13 + \frac{2}{n}(2k - 1)) \frac{1}{n}\right]\)
**Your solution:** Put the statements in order in this column and press the Submit Answers button.
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