Question

Task 2 Let There Be LIGHT! The table below contains the hours of daylight throughout one year in Ottawa, ON (45 N Lattitude).ol 2 (12 O Jan 16Feb 16 Jun 16 Mar 16p16 May 16 F X Date 15.40 14.65 Hours light8.95 10.18 Date Hours light 15.10 13.27 11.62 Dec 16 8.60 Nov 16 Oct 16 10.719.30 Jul 16 12.30 rtpwwworchidcnure.com COD daylngthmisv Plot the points. Use x-values from O to 12,for January 16 being x-0, December 16 Data a) g x-11 and January 16 again being x-12 Determine a sinusoidal function which models the daylight hours with respect to date in the year. Graph your function. Describe the rate of change of the graph in the following intervals: ) Va. January to March March to June June to September September to December d. d) Find the equation of the first derivative of Dc e) Determine local maximum and local minimum if exist DGraph the function D'(x) on the same screen. How do the answers to part C make 1 sense in terms of the graph of D(x) ) Find the intervals of increase and decrease using test intervals chart b) Find the equation of the second derivative of D"(x) i) Find the Inflection point if exist ) Find the intervals of concavity using test interval chart.

Answer 1

Solulton 4 6 千 12 nuoi RFO Corrsprdıng to Tan 16, q=l| h pel 16, and

D 23 s-万 12.3万-15.309 Sep to Dec DaD-D) 11-S -S-675-12-35 ご一3-625 3 D(x)--tg-4fcos (-6-522 -1493-4)