<p>Sunspot Problem. For several hundred years, astronomers have kept track of the number of solar flares, or “sunspots”, that occur on the surface of the Sun. The number of sunspots in a given year varies periodically, from a minimum of about 10 per year to a maximum of about 110 per year. Between 1750 and 1948, there were exactly 18 complete cycles.</p>
<p>(a) What is the period of a sunspot cycle?
(b) Assume that the number of sunspots per year is a sinusoidal function of time and that a maximum occurred in 1948. Find an equation expressing the number of sunspots per year as a function of the year.
(c) How many sunspots will there be in the year 2020?
(d) What is the first year after 2020 in which there will be about 35 sunspots?<br>
(e) What is the first year after 2020 in which there will be a maximum number of sunspots?
I DONT UNDERSTAND HOW TO GET C. Help I have a math quiz tomorrow!</p>