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is it possible to make an OUTLINE over this topic. Please

is it possible to make an OUTLINE over this topic. Please

Advanced Engineering Mathematics
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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is it possible to make an OUTLINE over this topic. Please

Outline: May 11, 2023 Write up the following exercises. The deliverable should be hand-written and easily readable. If you need to submit a first draft for page count, you will need formulas and data (into tables) and as items to be scanned/photographed, turned into pdfs, cropped, and included in a word file. We want technical writing in this assignment, but using Word's mathematical typesetting will break hearts. Tribonacci Numbers (Technical Writing Outline) Items 3, 4 and 7 below are optional, but will help add page count if short. You may need to review synthetic division and complex numbers beforehand, and help is available in the discussion board on Blackboard. The Tribonacci Numbers are defined by To = T₁ = 0, T₂ = 1, and Tn = Tn-1 + Tn-2 +Tn-3. To derive an analogue of the Binet formula, we assume the tribonacci formula is of the form ● ● Tn = Apő + Bo? + Co2. #1. Calculate Tn up to n = 20. Then calculate the ratios. Let o be the 20th ratio with six decimal Tn-1 places. #2. In the graph of f(x) = x³ - x² - x - 1 at right, the single real zero is approximately po. Verify by evaluating f(x) at po. #3. (Optional) Use synthetic division to factor f(x) = (x − ₁) g(x). # 4. (Optional) Use the quadratic formula on q(x) to approximate the other (complex roots) ₁ and 2. Find the lengths ₁ and ₂1. In the formula, these numbers tend to zero for large n. #5. The value of Tn+1 is obtained by multiplying Tn by do and rounding to the nearest integer. Calculate up to T20 this way, starting at T₁5, and compare with the values from the recursive rule. #6. Use your data set to estimate A in the approximation T~Aon, approximate T21, and compare with the actual value. #7 (Optional) Program calculations where appropriate. For ranges of values, put output in table form. Print and submit code also.
Transcribed Image Text:Outline: May 11, 2023 Write up the following exercises. The deliverable should be hand-written and easily readable. If you need to submit a first draft for page count, you will need formulas and data (into tables) and as items to be scanned/photographed, turned into pdfs, cropped, and included in a word file. We want technical writing in this assignment, but using Word's mathematical typesetting will break hearts. Tribonacci Numbers (Technical Writing Outline) Items 3, 4 and 7 below are optional, but will help add page count if short. You may need to review synthetic division and complex numbers beforehand, and help is available in the discussion board on Blackboard. The Tribonacci Numbers are defined by To = T₁ = 0, T₂ = 1, and Tn = Tn-1 + Tn-2 +Tn-3. To derive an analogue of the Binet formula, we assume the tribonacci formula is of the form ● ● Tn = Apő + Bo? + Co2. #1. Calculate Tn up to n = 20. Then calculate the ratios. Let o be the 20th ratio with six decimal Tn-1 places. #2. In the graph of f(x) = x³ - x² - x - 1 at right, the single real zero is approximately po. Verify by evaluating f(x) at po. #3. (Optional) Use synthetic division to factor f(x) = (x − ₁) g(x). # 4. (Optional) Use the quadratic formula on q(x) to approximate the other (complex roots) ₁ and 2. Find the lengths ₁ and ₂1. In the formula, these numbers tend to zero for large n. #5. The value of Tn+1 is obtained by multiplying Tn by do and rounding to the nearest integer. Calculate up to T20 this way, starting at T₁5, and compare with the values from the recursive rule. #6. Use your data set to estimate A in the approximation T~Aon, approximate T21, and compare with the actual value. #7 (Optional) Program calculations where appropriate. For ranges of values, put output in table form. Print and submit code also.
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