23 Nov 2021
Problem 26
Page 44
Section 1.3: New Functions from Old Functions
Chapter 1: Functions and Models
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.