The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to a low of 0.08 (8%) in July. Assume that the percentage of precipitation varies monthly and behaves like a cosine curve. Part 1 of 2 (a) Write a function of the form P (t) = A cos (Bt-C) + D to model the precipitation probability. The value P (t) is the probability of precipitation (as a decimal), for month t, with January as t = 1. P (t) = cos X π

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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The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to a low of 0.08 (8%) in July. Assume that the percentage of
precipitation varies monthly and behaves like a cosine curve.
Part 1 of 2
(a) Write a function of the form P (t) = A cos (Bt-C) + D to model the precipitation probability. The value P (t) is the probability of precipitation (as a
decimal), for month t, with January as t = 1.
P (t)
=
cos
X
♫
3
Transcribed Image Text:The probability of precipitation in a California city varies from a peak of 0.38 (38%) in January to a low of 0.08 (8%) in July. Assume that the percentage of precipitation varies monthly and behaves like a cosine curve. Part 1 of 2 (a) Write a function of the form P (t) = A cos (Bt-C) + D to model the precipitation probability. The value P (t) is the probability of precipitation (as a decimal), for month t, with January as t = 1. P (t) = cos X ♫ 3
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