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• In+1 = tan xn = tan • In+1 = tanh xm

• In+1 = tan xn = tan • In+1 = tanh xm

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 54PS: Velocity of a Ferris Wheel Use Figure 7 as a model of the Ferris wheel called Colossus that is built...
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only parts G & F, please!!!!

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.).
Transcribed Image Text: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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