A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 5.3 days. Its average brightness is 3.1 and the brightness changes by +/-0.25. Using this data, we can construct a mathematical model for the brightness of Ceph Joe at time t, where t is measured in days: B(t) = 3.1 + 0.25 sin(2nt/5.3) (a) Find the rate of change of the brightness after t days. Rate of change = !! (b) Find the rate of increase after one day. Rate of increase =

A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 5.3 days. Its average brightness is 3.1 and the brightness changes by +/-0.25. Using this data, we can construct a mathematical model for the brightness of Ceph Joe at time t, where t is measured in days: B(t) = 3.1 + 0.25 sin(2nt/5.3) (a) Find the rate of change of the brightness after t days. Rate of change = !! (b) Find the rate of increase after one day. Rate of increase =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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