Question: 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

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 4 7 days Its average brightness is 4 4 and the brightness changes by 0 6 Using this data we can construct a mathematical model for the brightness of Cephel Joe at time t where t is measured in days B t 4 4 0 6 sin 2xt 4 7 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

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