Exercise 1.Calculator Experiment) Use a calculator to explore the behavior ofthe following maps:• Cn+1• In+1= exp In• In+1 = cot xn• Int1 isinh In3.• Xn+1 = Xn= In• In+1 = ln xn• In+1 = tan xn• In+1 = tanh xnChoose an appropriate initial xo and repeatedly press the corresponding function key on youcalculator. What do you observe? Try a few (three or four) numbers sufficiently spacedin the function domain. Do you obtain different behaviors based on the initial numberchosen? Explain your observation mathematically using the techniques explained in ourlectures (fixed points, linear stability, cobwebs, etc.).

“Since you have asked multiple questions, we will solve the first three question for you. If you…

Answered: Exercise 1. Calculator Experiment) Use…

Exercise 1. Calculator Experiment) Use a calculator to explore the behavior of the following maps: • Xn+1 = • In+1 = exp xn • Tn+1 = cot xn %3D

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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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.

Question

Exercise 1.
Calculator Experiment) Use a calculator to explore the behavior of
the following maps:
• Cn+1
• In+1= exp In
• In+1 = cot xn
• Int1 i
sinh In
3.
• Xn+1 = Xn
= In
• In+1 = ln xn
• In+1 = tan xn
• In+1 = tanh xn
Choose an appropriate initial xo and repeatedly press the corresponding function key on you
calculator. What do you observe? Try a few (three or four) numbers sufficiently spaced
in the function domain. Do you obtain different behaviors based on the initial number
chosen? Explain your observation mathematically using the techniques explained in our
lectures (fixed points, linear stability, cobwebs, etc.).

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