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.
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.
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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![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)=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaea872e-acbe-4f0d-9291-c192ffa133fb%2F8103255f-25db-4843-9da7-d8f57acb22b4%2Fv2no2ju_processed.png&w=3840&q=75)
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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