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One well-known Cepheid variable is Polaris, the North Star. The apparent magnitude of Polaris varies from an average level of 1.97 with an amplitude of 0.1 and a period of 3.97 days. Make a sine model of the apparent magnitude of Polaris as a function of time. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equations in terms of t and m, where t is time measured in days and m is apparent magnitude. Note that t=0 occurs on a day when the magnitude is beginning to increase from the average level.) equation:

One well-known Cepheid variable is Polaris, the North Star. The apparent magnitude of Polaris varies from an average level of 1.97 with an amplitude of 0.1 and a period of 3.97 days. Make a sine model of the apparent magnitude of Polaris as a function of time. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equations in terms of t and m, where t is time measured in days and m is apparent magnitude. Note that t=0 occurs on a day when the magnitude is beginning to increase from the average level.) equation:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 5E
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One well-known Cepheid variable is Polaris, the North Star. The apparent magnitude of Polaris varies from an average level of 1.97 with an amplitude of 0.1 and a period of 3.97 days. Make a sine model of the apparent magnitude of Polaris as a function of time. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equations in terms of t and m, where t is time measured in days and m is apparent magnitude. Note that t = 0 occurs on a day when the magnitude is beginning to increase from the average level.) equation: I
Transcribed Image Text:One well-known Cepheid variable is Polaris, the North Star. The apparent magnitude of Polaris varies from an average level of 1.97 with an amplitude of 0.1 and a period of 3.97 days. Make a sine model of the apparent magnitude of Polaris as a function of time. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equations in terms of t and m, where t is time measured in days and m is apparent magnitude. Note that t = 0 occurs on a day when the magnitude is beginning to increase from the average level.) equation: I
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