Question 1 Scientist sometimes use the formula f()=asin(bt+c)+d to simulate temperature variations during the day, with time t in hours, temperature f(t) in °C, and t-D0 corresponding to midnight. Assume that f(t) is decreasing at midnight. Determine the values for a, b, c, and d if the high temperature of 28°C occurs at 2PM and the average temperature of 20°C occurs 6 hours later. Lastly find the equation and sketch the graph of f for 0sI524.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question 1
Scientist sometimes use the formula f(t)=asin(bt +c)+d to
simulate temperature variations during the day, with time t in
hours, temperature f(t) in °C, and t=0 corresponding to midnight.
Assume that f(t) is decreasing at midnight. Determine the values
for a, b, c, and d if the high temperature of 28°C occurs at 2PM
and the average temperature of 20°C occurs 6 hours later. Lastly
find the equation and sketch the graph of f for 0<t<24.
Transcribed Image Text:Question 1 Scientist sometimes use the formula f(t)=asin(bt +c)+d to simulate temperature variations during the day, with time t in hours, temperature f(t) in °C, and t=0 corresponding to midnight. Assume that f(t) is decreasing at midnight. Determine the values for a, b, c, and d if the high temperature of 28°C occurs at 2PM and the average temperature of 20°C occurs 6 hours later. Lastly find the equation and sketch the graph of f for 0<t<24.
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