Each evening at sunset, the lights on the London Eye Ferris Wheel are turned on. The time of the sunset in London can be modelled by the equation s 2.891sin 0.016d 1.183 18.512 where s is the time of the sunset, and d is the day of the year. a. Use the equation to determine the time of day that the sun sets on July 19th, which is day 200. <> b. On how many days of the year, to the nearest whole number, will the lights be turned on at 7 PM (19:00) or later? <> The table below provides the average monthly temperature in London, England over the course of a year. 1 2 3 4 5 6 7 8 9 10 11 12 Month Temperature C January February March April May June July August September October November December 7 7.5 9 11 14 17 19.5 19 16.5 13 9.5 7 a. Determine the equation of a sinusoidal regression function that best models the data. Express the values of a, b, c, and d to the nearest hundredth. <> b. Use the sinusoidal regression equation above to predict the average temperature, to the nearest hundredth, in London next February. <> c. Most tourists visit London during months when the average temperature is 13 C and higher. Determine the month of the year when the temperature first reaches 13 C