Let W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction starts. The temperature varies sinusoidally and oscillates between a low of 30 °C and a high temperature of 110°C. The temperature is at its highest point when u = 0 and completes a full cycle over a 4-hour period. a. Find the amplitude, midline and period of f(u). The amplitude of f(u) is The midline of f(u) is The period of f(u) is b. Find a formula for the sinusoidal function W = f(u). f(u) = °C. °C. (Note: you should give an equation for the midline as your answer.) hours.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 6E
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Let W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction starts. The temperature varies sinusoidally and oscillates between a low of 30 °C and a high
temperature of 110°C. The temperature is at its highest point when u = 0 and completes a full cycle over a 4-hour period.
a. Find the amplitude, midline and period of f(u).
The amplitude of f(u) is
The midline of f(u) is
The period of f(u) is
°C.
°C. (Note: you should give an equation for the midline as your answer.)
hours.
b. Find a formula for the sinusoidal function W = f(u).
f(u)=
Transcribed Image Text:Let W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction starts. The temperature varies sinusoidally and oscillates between a low of 30 °C and a high temperature of 110°C. The temperature is at its highest point when u = 0 and completes a full cycle over a 4-hour period. a. Find the amplitude, midline and period of f(u). The amplitude of f(u) is The midline of f(u) is The period of f(u) is °C. °C. (Note: you should give an equation for the midline as your answer.) hours. b. Find a formula for the sinusoidal function W = f(u). f(u)=
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