10. Rod says that he is thinking of two functions that have the following characteristics: a. One is rational, and has a y-intercept at -2 b. One is trigonometric, and does not include the cosine function c. One contains the digit "3" and the other does not. d. Both have an instantaneous rate of change of 1.23 (rounded to two decimal places) at x = 2 e. The two functions intersect at x = 2 Provide one example of a pair of functions that meet Rod's criteria. Explain your thought process in making the functions, a screenshot, and calculations to verify each criterion.
10. Rod says that he is thinking of two functions that have the following characteristics: a. One is rational, and has a y-intercept at -2 b. One is trigonometric, and does not include the cosine function c. One contains the digit "3" and the other does not. d. Both have an instantaneous rate of change of 1.23 (rounded to two decimal places) at x = 2 e. The two functions intersect at x = 2 Provide one example of a pair of functions that meet Rod's criteria. Explain your thought process in making the functions, a screenshot, and calculations to verify each criterion.
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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Transcribed Image Text:10. Rod says that he is thinking of two functions that have the following characteristics:
a. One is rational, and has a y-intercept at -2
b. One is trigonometric, and does not include the cosine function
c. One contains the digit "3" and the other does not.
d.
Both have an instantaneous rate of change of 1.23 (rounded to two decimal
places) at x = 2
e. The two functions intersect at x = 2
Provide one example of a pair of functions that meet Rod's criteria. Explain your thought
process in making the functions, a screenshot, and calculations to verify each criterion.
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