calculus

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The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation :
D(t)=12+Asin(((2pi)/(365))(t-80))

where A depends only on the latitude (and not t). for latitude 30 degress, A is about 2.3

1. When is the number of hours of daylight the greatest?
2.When is the number of hours of daylight the least?
3. When is the number of hours of daylight increasing at a rate of 2 minutes per day?
4. when is the number of hours of daylight decreasing at a rate of 2 min per day?


Can any one help me with any of these?
thanks a lot!

  • calculus -

    repeat. I forgot on the last post, on 4 set dD/dt to minus 2/60.

  • calculus -

    thank you so much I appreciate this

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