Just give your answer, please don't copy someone else's answer, thanks. Plagiarized answers will be reported (a) Use the Taylor series expansion to derive a three-point finite difference formula thatevaluates the first derivative dy/dx at point x=x; with given points (xi,yi), (Xi+1,Yi+1), (Xi+2, Yi+2),which are not equally spaced. Use three terms of the series plus the remainder. (b) Derive forthe case when the spacing between the points is equal, a simpler finite difference formula.(c) Use the data in the table to derive in a MatLab scipt the derivative of the point x=x₁. NoMatLab build-in function is allowed to be used. Submit for (a) and (b) your hand calculationsand for (c) your MatLab files.Xi5.49Xi+15.58Xi+25.63Yi8.08Yi+18.12Yi+28.15

Answered: Image /qna-images/answer/e1812891-73fb-4a91-a444-c844ec412289.jpg

Answered: (a) Use the Taylor series expansion to…

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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Please explain and show ALL WORK! Please don't give handwrittten answer..thanku A sample of trout caught in a pond included 400 small fish and 100 adult fish (of adequate size). The 400 small fish were then returned to the pond. In addition, 1000 small fish were put in the pond. A few days later, another catch totaled 410 small fish and 80 adult fish. Estimate the number of trout in the pond after the second catch.
The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51,80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. Σ(XA) n X = (c) Calculate (x − x) for each range and fill in the table below. (d) Calculate (x - x)²f for each range and fill in the table below. Range Frequency f Midpoint x 50-59 60-69 70-79 80-89 90-99 S = Enter a number. S = (e) Using the following equation, compute the standard deviation of the class scores. Σ(x-x) ²f n - 1 Σ(x-x) ²4 n - 1 = xf 29 X X - X (x - x)²f
Several years ago, the Arcadia school system was criticized because the average Arcadia High School graduate could read at only the ninth-grade level. After this report was made, a special reading program was established to upgrade skills. The AHS principal wants to know if the reading program worked. If it has, he will request that an accreditation team visit the school. If the program has not improved the reading level to at least 10.0 (sophomore level), the administrator would like to avoid the embarrassment of a poor review. To determine the average reading level of the senior class, we select ten seniors at random. We assume that reading scores are normally distributed. The reading scores for the ten seniors are shown in Table 1. Table 1: Reading Scores for Sample High School Seniors Student Reading Score 1 13.4 2 12.1 3 11.4 4 10.6 5 10.3 6 10.2 7 9.8 8 9.7 9 9.4 10 8.6 Calculate the sample mean…
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21. INVESTING IN BONDS Joan Gretz invested $3600 in a mutual fund containing bonds. Find the rate if she earned $237.50 in interest in 250 days.

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