Average Monthly Temperature, F Month, x January, 1 36.0 February, 2 39.0 March, 3 46.8 April, 4 56.8 May, 5 66.0 June, 6 75.2 July, 7 79.8 August, 8 78.1 September, 9 71.0 October, 10 59.5 November, 11 49.6 December, 12 39.7 Source: U.S. National Oceanic and Atmospheric Administration

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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Average Monthly
Temperature, °F
Month, x
January, 1
36.0
February, 2
39.0
March, 3
46.8
April, 4
56.8
May, 5
66.0
June, 6
75.2
July, 7
79.8
August, 8
78.1
September, 9
71.0
October, 10
59.5
November, 11
49.6
December, 12
39.7
Source: U.S. National Oceanic and
Atmospheric Administration
Transcribed Image Text:Average Monthly Temperature, °F Month, x January, 1 36.0 February, 2 39.0 March, 3 46.8 April, 4 56.8 May, 5 66.0 June, 6 75.2 July, 7 79.8 August, 8 78.1 September, 9 71.0 October, 10 59.5 November, 11 49.6 December, 12 39.7 Source: U.S. National Oceanic and Atmospheric Administration
30. Monthly Temperature The data below represent the average
monthly temperatures for Washington, D.C.
(a) Draw a scatter diagram of the data for one period.
(b) Find a sinusoidal
y = A sin (ox - 4) + B that models the data.
(c) Draw the sinusoidal function found in part (b) on the
scatter diagram.
(d) Use a graphing utility to find the sinusoidal function of
best fit.
function of the form
(e) Graph the sinusoidal function of best fit on a scatter
diagram of the data.
Transcribed Image Text:30. Monthly Temperature The data below represent the average monthly temperatures for Washington, D.C. (a) Draw a scatter diagram of the data for one period. (b) Find a sinusoidal y = A sin (ox - 4) + B that models the data. (c) Draw the sinusoidal function found in part (b) on the scatter diagram. (d) Use a graphing utility to find the sinusoidal function of best fit. function of the form (e) Graph the sinusoidal function of best fit on a scatter diagram of the data.
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