Concept explainers
Variable Stars Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. The variable star Delta Cephei (Example 4) has an average radius of 20 million miles and changes by a maximum of 1.5 million miles from this average during a single pulsation. Find an equation that describes the radius of this star as a function of time.
To find: The equation that describe the radius of star as a function of time.
Answer to Problem 40E
The equation is
Explanation of Solution
Given:
The variable star has period
Calculations:
Let’s find a function in the form,
The amplitude is the maximum variation from the average radius, so the amplitude is
So the angular velocity,
Since the radius varies from an average value of
If we take
Thus, the function we want is
So, the equation is
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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