Calculus Help

A model for the length of daylight (in hours) in Philadelphia on the tth day of the year is

L(t) = 12 + 2.8 sin[(2π/365)(t − 80)].

Use this model to compare how the number of hours of daylight is increasing in Philadelphia on March 21 and April 21. (Assume there are 365 days in a year. Round your answers to four decimal places.)

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  1. 3/31: t=90
    4/21: t=111

    L'(t) = 2.8cos[(2π/365)(t − 80)](2π/365)
    now just plug in t=90 and t=111

    The answer, of course, will be in hr/day.

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