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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.3, Problem 26E

To determine

**To find:** The functionthat defines the brightness of the star Delta Cephei in terms of time.

Expert Solution

The brightness of Delta Cephei is given by the function

**Given:**

Time period of the maximum brightness of the star Delta Cephei is

**Calculation:**

As the maximum period of brightness is 5.4 days consider total time period for Delta Cephei as 5.4 days.

Since the time period is of 5.4 days, the time period in terms of time *t* is given by

Note that the average amplitude of the star is 4.0 with variation of

Use the above information to construct a function to calculate the brightness of the starDelta Cephei as shown below,

Therefore, the function that models the brightness of star in Delta Cephei as function of time is