Guidelines: Please answer the given Task 1 and Task 2 accordingly. There will be observation and conversation to be completed by students in the discussion forum in the online Moodle learning for both projects and CCT. Culminating Assignment MCV4U Assignment is to be done and will be handed in before the exam. Questions are to be clearly labelled, organized and neat. You must show a reasonable number of steps in your solutions. Answers alone are not sufficient. Culminating Task 1 Marks: 60 Let There Be LIGHT! The table below contains the hours of daylight throughout one year in Ottawa, ON, (45N Latitude). Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65 15.40 Date Jul 16 Aug 16 Sep 16 Oct 16 Nov 16 Dec 16 Hours light 15.10 13.90 12.30 10.71 9.30 8.60 *Data Source: http://www.orchidculture.com/COD/daylength.html#45N a) Plot the points. Use x-values from 0 to 12, for January 16 being x=0, December 16 being x=11 and January 16 again being x=12. b) Determine a sinusoidal function which models the daylight hours with respect to date in the year. Graph your function. c) Describe the rate of change of the graph in the following intervals: a. January to March b. March to June c. June to September d. September to December 1) Find the equation of the first derivative of D(x). e) Determine local maximum and local minimum if exist f) Graph the function D'(x) on the same screen. How do the answers to part C make sense in terms of the graph of D(x) g) Find the intervals of increase and decrease using test intervals chart. h) Find the equation of the second derivative of D"(x) i) Find the Inflection point if exist j) Find the intervals of concavity using test interval chart. MCV4U Page 2 of 6