1) The number of hours in a day can be modeled by the sinusiodal function. In northern hemisphere, longest day of year is summer solstice and shortest day of year is winter solstice. In 2001, summer solstice happened on June 21 (day 171 out of365 days in year 0 and had 11.1 hours of sunlight. Winter solstice happened on Dec 20 (the 355th day of year) and had 8.24 hours of sunlight.
Determine the sinusiodal function that models hours of sunlight for each day.
Determine period, vertical shift, amplitude, phase shift, and put it together in function.
How many hours of sunlight were there on May 1st (119th day of the year)?
1.) Monthly precipitation has the cycle of 1 year. Following data represents normal monthly precipitation for one year.
i) Jan: 6.06 in
ii) Feb: 4.45 in
iii) March: 4.38 in
iv) April: 2.08 in
v) May: 1.27 in
vi) June: .56 in
vii) July: .17 in
viii) Aug: .46 in
ix) Sept: .91 in
x) Oct: 2.24in
xi) Nov: 5.21 in
xii) Dec: 5.51 in
Determine the sinusiodal function that models inches of precipitation for each month.
Determine vertical shift, phase shift, amplitude, period, and put it together in function.