Numerical Analysis Questions & Answers | |
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Good question. We need to find $b_N$ because $a_{N-1}$ and $c_{N-1}$ depend on $b_N$. So, we only need to find $N-1$ intervals, but we need to find $N$ bs. 2 points bonus.
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Hm, I'm not sure what confuses you. Answers to your questions were given in class.
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There's little work involved when moving numbers around in memory compared with additions or multiplications. Hence why it's not counted. 1 point bonus.
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You can find the exact value by using a very large $N$. So, just double $N$ until the value of the integral doesn't change significantly anymore and use this as the exact value. 2 points bonus.
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No, there is no work done when doing the pivoting operation because there is no addition or multiplication. This was mentioned above for a similar question.
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$\pi$ |