>The monthly average temperature T (in °C) in a certain city, may be approximated by T(t) = a cos (@(t-b) ) + c where t is the time in months, t = 0 corresponds to January 1 st, and we assume that function T(t) has a period of 12 months. a) Find a, o, b and c if T has a maximum of 22.4 °C in the middle of July (t = 6.5) and a minimum of - 10 °C. b) In which month is T minimum? %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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>The monthly average temperature T (in °C) in a certain city, may
be approximated by
T(t) = a cos (@(t-b) ) + c
where t is the time in months, t = 0 corresponds to January 1 st,
and we assume that function T(t) has a period of 12 months.
a) Find a, o, b and c if T has a maximum of 22.4 °C in the middle
of July (t = 6.5) and a minimum of - 10 °C.
b) In which month is T minimum?
%3D
%3D
Transcribed Image Text:>The monthly average temperature T (in °C) in a certain city, may be approximated by T(t) = a cos (@(t-b) ) + c where t is the time in months, t = 0 corresponds to January 1 st, and we assume that function T(t) has a period of 12 months. a) Find a, o, b and c if T has a maximum of 22.4 °C in the middle of July (t = 6.5) and a minimum of - 10 °C. b) In which month is T minimum? %3D %3D
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