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Textbook Expert
Textbook ExpertVerified Tutor
23 Nov 2021

Given information

Given:-

maximum brightness:- 5.4 days

magnitude:- 4.0

Step-by-step explanation

Step 1.

To find the function that models the brightness of Delta Cephei we will consider the magnitude and the time of maximum brightness.

so, we assume that.

A cepheid variable star is a star whose brightness alternately increases and decreases. the most easily visible such star is Delta Cephei, for which the interval between times of maximum brightness is 5.4 days as is given. The average brightness of this star is 4.0 and its brightness changes by .

 

by viewing this given data, the brightness of Delta Cephei at the time , where is measured in days, has been modeled by the function.

 

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