7.The number of visible sun spots varies rhythmically from 10to 110 per year over a period of eleven years. The 110 max lastoccurred in the year 2014.a.)b.)Write a sinusoidal function N (t) to model that number of sunspots per year, where t is in years past the year 2014.What number of sun spots does your function predict for theyear 2018?

Given: The sun spots varies from 10 to 110 per year over a period of 11 years. The 110 max last…

Answered: 7. The number of visible sun spots…

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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Shown is your author’s chart,beginning January 25, 2015, when he was 25,473 days old. We all have cycles with the same amplitudes and periods as thoseshown here. Each of our three basic cycles begins at birth.The longer tickmarks correspond to the dates shown. Use the biorhythm chart shown to solve:If you extend these sinusoidal graphs to the end of the year, is there a day when your author should not even bother getting out of bed?
At its highest point, the second hand on a clock is 1.9 m above the ground. At its lowest point, the second hand is 1.6 m above the ground. The second hand starts at its highest point when the clock is started. a) Determine the function for the height of the second hand with respect to the number of seconds that have passed since the clock was started. [Hint: the second hand takes 60 seconds to complete one full rotation .] b) Determine the height of the hand at 10 s and 35 s. [Answers in degrees].
A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 20 seconds, and the average height of the bottle is 10 feet. The bottle moves in a manner such that the distance from the highest and lowest point is 4 feet. A cosine function can model the movement of the message in a bottle in relation to the height. Part A: Determine the amplitude and period of the function that could model the height of the message in a bottle as a function of time, t. Part B: Assuming that at t = 0 the message in a bottle is at its average height and moves upwards after, what is the equation of the function that could represent the situation? Part C: Based on the graph of the function, after how many seconds will it reach its lowest height?
On 31 January, 2009, during a heat wave in Mildura, Victoria, the maximum temperature recordedwas approximately 44 ◦C and the minimum overnight temperature recorded was approximately 26 ◦C. (a) Using a sine function, write down an equation that models the temperature T (in ◦C) in Mildura on that day as a function of t (measured in hours since midnight). Explain how you determine each of the constants in your equation, and write down any assumptions you make.
Can i get help on a practice question?
Aren't allowed to use pi/radiance

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