A puffin population oscillates 60 above and below an average of 480 puffins during the year, hitting the lowestvalue in January (t = 0).a. Draw a graph of the puffin population for at least one year. Carefully labet the amplitude, the midline andthe period.b. Find an equation for the puffin population, P, in terms of the months since January, t.c. Find a different equation for the puffin population if the lowest value of the puffin population occurred inMarch (not January).

Given,Average puffin population=480At t=0 the month is january with lowest population.Thus, time…

A puffin population oscillates 60 above and below an average of 480 puffins during the year, hitting the lowest value in January (t = 0). a. Draw a graph of the puffin population for at least one year. Carefully label the amplitude, the midline and the period. b. Find an equation for the puffin population, P, in terms of the months since January, t. c. Find a different equation for the puffin population if the lowest value of the puffin population occurred in March (not January).

A puffin population oscillates 60 above and below an average of 480 puffins during the year, hitting the lowest value in January (t = 0). a. Draw a graph of the puffin population for at least one year. Carefully label the amplitude, the midline and the period. b. Find an equation for the puffin population, P, in terms of the months since January, t. c. Find a different equation for the puffin population if the lowest value of the puffin population occurred in March (not January).

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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Question

A puffin population oscillates 60 above and below an average of 480 puffins during the year, hitting the lowest
value in January (t = 0).
a. Draw a graph of the puffin population for at least one year. Carefully labet the amplitude, the midline and
the period.
b. Find an equation for the puffin population, P, in terms of the months since January, t.
c. Find a different equation for the puffin population if the lowest value of the puffin population occurred in
March (not January).

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