- #1
Coltjb7
- 15
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Homework Statement
My teacher created this following problem:
The equation H(t)=3.3sin(0.017214t-1.369247)+12 estimates the number of daylight hours in Portland, OR for any day, t, during 2016.
1. Give the date in 2016 when the number of daylight hours is increasing the fastest. How many additional minutes of daylight do we gain on that day?
2.Give the date in 2016 when the number of daylight hours is decreasing the fastest. How many minutes of daylight do we lose on that day?
3. How many days into the year is the longest day of 2016? What is the date?
Homework Equations
H(t)=3.3sin(0.017214t-1.369247)+ 12 0<t January 1=0; December 31=365; *2016 is
H'(t)=0.0568062cos(0.017214t-1.369247) a leap year.
H''(t)=-9.77861927E^-4sin(0.017214t-1.369247)
The Attempt at a Solution
I attempted to use the first derivative test but am not sure what I am doing. Do I need to solve for t? One kid at my table thinks they figured it out and got t=(about)74 so the answer t #1 would be around March 10th. I m totally lost. Please help