Date Jan 1 Feb 1 Mar 1 Apr 1 May 1 June 1 July 1...

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Calculus

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Date Jan 1 Feb 1 Mar 1 Apr 1 May 1 June 1 July 1 Aug 1 Sept 1 Oct 1 Nov 1 Dec 1 a bin aa durtablew pl form 1 year 2015 task 1 state OR place medford H M 9 09 10 00 11 14 12 43 14 04 15 04 15 14 14 27 13 09 11 45 10 20 9 19 Minutes 549 600 674 763 844 904 914 867 789 705 620 559 1000 950 900 850 800 750 700 650 600 550 500 y X 1 2 3 4 5 6 7 8 9 10 11 12 Plot the points on the grid provided Let January 1 correspond to x 0 February 1 correspond to x 1 etc and let y minutes of daylight Connect the points with a smooth curve It should look like a sine wave b Use your graph to find the amplitude period horizontal shift and vertical shift of the function Note It s reasonable to assume the minutes of daylight in January 2016 is the same as in January 2015 The length of a cycle is 12 months so that s the period Then write a sine or cosine function to represent the data

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