In this task there are two situations: one dealing with counting toothpicks and the other dealing with a Ferris wheel. The ultimate goal in each situation is to model the situation with the appropriate function. Answer them to the best of your ability. 1) In this problem we are creating triangular toothpick patterns. Shown below are the first three triangular patterns made with toothpicks: n 1 2 3 4 5 6 n=1 #small triangles 1 4 n=2 # toothpicks Added to previous case 6 Total # of toothpicks 3 9 n=3 a) From a physical standpoint, what does the value of n represent? b) Complete the table. c) Determine the type of relationship n has with each of the other 3 columns (ie, linear, quadratic, exponential etc). Justify your answer. d) Would these be discrete or continuous relationships? Justify your answer. e) Determine whether the 3rd column (# of toothpicks added) is arithmetic, geometric, or neither. Justify your answer. relationship with t = 3

In this task there are two situations: one dealing with counting toothpicks and the other dealing with a Ferris wheel. The ultimate goal in each situation is to model the situation with the appropriate function. Answer them to the best of your ability. 1) In this problem we are creating triangular toothpick patterns. Shown below are the first three triangular patterns made with toothpicks: n 1 2 3 4 5 6 n=1 #small triangles 1 4 n=2 # toothpicks Added to previous case 6 Total # of toothpicks 3 9 n=3 a) From a physical standpoint, what does the value of n represent? b) Complete the table. c) Determine the type of relationship n has with each of the other 3 columns (ie, linear, quadratic, exponential etc). Justify your answer. d) Would these be discrete or continuous relationships? Justify your answer. e) Determine whether the 3rd column (# of toothpicks added) is arithmetic, geometric, or neither. Justify your answer. relationship with t = 3

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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