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 6.5 days. The average brightness of this star is 3.0 and its brightness changes by ±0.35. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 3.0 + 0.35 sin (2?t)/(6.5) A) find the rate of change of the brightness after t days. dB/dt= B) find, correct to two decimal places, the rate of increase after one day. dB/dt

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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 6.5 days. The average brightness of this star is 3.0 and its brightness changes by ±0.35. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 3.0 + 0.35 sin (2?t)/(6.5)

A) find the rate of change of the brightness after t days. dB/dt=

B) find, correct to two decimal places, the rate of increase after one day. dB/dt

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