The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018. x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t. We want to write a periodic function for H(t) the number of hours of daylight given t, the number of days since Jan. 1. ( t = 0 represents Jan. 1, 2018.) H(t)=Acos(Bt-C)+D Day 360 has the least number of hours of daylight (not day 0), Determine a good phase shift for this function and use it to find the value of C in the equation.

The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018. x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t. We want to write a periodic function for H(t) the number of hours of daylight given t, the number of days since Jan. 1. ( t = 0 represents Jan. 1, 2018.) H(t)=Acos(Bt-C)+D Day 360 has the least number of hours of daylight (not day 0), Determine a good phase shift for this function and use it to find the value of C in the equation.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

The data and graph above show the number of hours of daylight in Richmond VA for specific dates during 2018. x=t days after Jan. 1 and y = H(t) the number of hours of daylight on day t.

We want to write a periodic function for H(t) the number of hours of daylight given t, the number of days since Jan. 1. ( t = 0 represents Jan. 1, 2018.)

H(t)=Acos(Bt-C)+D

Day 360 has the least number of hours of daylight (not day 0), Determine a good phase shift for this function and use it to find the value of C in the equation.