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A variable star is one whose brightness alternately increases and decreases. For the most visible variable star, Delta Cephei, the time between periods of maximum brightness is 5.4 days, the average brightness (or magnitude) of the star is 4.0, and its brightness varies by $ \pm 0.35 $ magnitude. Finda function that models the brightness of Delta Cephei as a function of time.

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Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 3

New Functions from Old Functions

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

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Lectures

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A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

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In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

02:56

Delta Cephei is one of the…

01:48

A Cepheid variable star is…

01:13

01:23

03:44

Variable Stars The variabl…

02:09

Hey, it's clear. So when you read here, so we have the period of time between maximum brightness of the star is 5.4 days. So we get five point for a sequel to two pi over B, and we gotta be value uh, pi over 2.7. You have an average value of four soc. It's equal to four, and we have magnitude from the average value is plus or minus 0.35 So we get the amplitude to be 0.35 when we put this all together and our equation is 0.35 sign, uh, pie over 2.70 plus four.

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