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).
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).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
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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