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 a. Determine a sinusoidal function which models the daylight hours with respect to date in the year. Graph your function. b. Describe the rate of change of the graoh in the following intervals:              i. January to March              ii. March to June             iii. June to September             iv. September to December c. Find the equation of the first derivative of D(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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

a. Determine a sinusoidal function which models the daylight hours with respect to date in the year. Graph your function.

b. Describe the rate of change of the graoh in the following intervals:

             i. January to March

             ii. March to June

            iii. June to September

            iv. September to December

c. Find the equation of the first derivative of D(x). 

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