Why does it make sense to model the monthly temperature with a sine or cosine function? Part 2. Determine the dependent and independent variables (with units). Part 3. Determine the period. Part 4. Determine the amplitude. Part 5. Determine the vertical shift. Part 6. Determine the horizontal shift.

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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Part 1. Why does it make sense to model the monthly temperature with a sine or cosine function? Part 2. Determine the dependent and independent variables (with units). Part 3. Determine the period. Part 4. Determine the amplitude. Part 5. Determine the vertical shift. Part 6. Determine the horizontal shift.
Table 1: Austin Average Monthly Temperature
High (°F)
Month
January
February
March
60
65
73
79
85
91
July
95
August
96
September 90
October
81
November
70
December
62
April
May
June
3. In this exercise, you will find a trigonometric function of the form
y = a sin(b(x - c)) + dor y = a a
cos(b(x − c)) + d
to model the average monthly highs in Austin.
Transcribed Image Text:Table 1: Austin Average Monthly Temperature High (°F) Month January February March 60 65 73 79 85 91 July 95 August 96 September 90 October 81 November 70 December 62 April May June 3. In this exercise, you will find a trigonometric function of the form y = a sin(b(x - c)) + dor y = a a cos(b(x − c)) + d to model the average monthly highs in Austin.
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