In each of the following problems you are given a function on the interval
Sketch several periods of the corresponding periodic function of period
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- 3. Suppose a sinusoidal function was created to model a yearly lynx population, due to a cyclical pattern of increasing and decreasing throughout each year. This function can take the form of y = a cos[ b (x - c)] + d Explain what the value of each parameter (a, b, c and d) would represent in the real-life context of analyzing lynx populations. If you were analyzing the function, consider what each parameter could tell you about the population or the time of research.arrow_forwardThis is a grade 12 level advanced functions question.arrow_forwardProblem 5 Sketch the graph and find the Fourier series of the 2n-periodic extention of the function f(x) = e", a E (-7, "). Find the sum of the Fourier series you obtained at points r and 27.arrow_forward
- 3. The water at a local beach has an average depth of 1 meter at low tide. The average depth of the water at high tide is 8 m. If one cycle takes 12 hours: (a) Determine the equation of this periodic function using cosine as the base function where o time is the beginning of high tide. (b) What is the depth of the water at 2 am? (c) Many people dive into the beach from the nearby dock. If the water must be at least 3 m deep to dive safely, between what daylight hours should people dive? Time (h) Height (m)arrow_forwardQ1. Find the Fourier of the function in Fig.Q1 f(x) -a a x -a Fig.Q1arrow_forwardSolve in 10 min plzarrow_forward
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