A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 3.7 days. The average brightness of this star is 2.0 and its brightness changes by ±0.35. Using this information, the brightness of the star at time t, where t is measured in days, has been modeled by the function 2nt B(t) = 2.0 + 0.35 sin 3.7 (a) Find the rate of change of the brightness at time t days. dB dt (b) Find the rate of change of brightness at time t = 3 days. dB %3D dt

A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 3.7 days. The average brightness of this star is 2.0 and its brightness changes by ±0.35. Using this information, the brightness of the star at time t, where t is measured in days, has been modeled by the function 2nt B(t) = 2.0 + 0.35 sin 3.7 (a) Find the rate of change of the brightness at time t days. dB dt (b) Find the rate of change of brightness at time t = 3 days. dB %3D dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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