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

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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