H = 21 +979e-0.1t. (a) Find the temperature of the bar at the end of one hour. (Round your answer to the nearest degree.) °C (b) Find the average value of the temperature over the first hour. (Round your answer to the nearest degree.**) °C (c) Is your answer to part (b) greater or smaller than the average of the temperatures at the beginning and the end of the hour? The answer to part (b) is ---Select--than the average of the temperatures at the beginning and the end of the hour, because the graph is concave ** You may want to use the numerical integration tool https://www.zweigmedia.com/RealWorld/integral/integral.html -Select---

Calculus: Early Transcendentals
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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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A bar of metal is cooling from 1000°C to room temperature, 21°C. The temperature, H, of the bar t minutes after it starts cooling is given, in °C, by
H = 21 +979e-0.1t
(a) Find the temperature of the bar at the end of one hour. (Round your answer to the nearest degree.)
°C
(b) Find the average value of the temperature over the first hour. (Round your answer to the nearest degree. **)
°C
(c) Is your answer to part (b) greater or smaller than the average of the temperatures at the beginning and the end of the hour?
The answer to part (b) is [---Select--- ] than the average of the temperatures at the beginning and the end of the hour, because the graph is concave [---Select---
** You may want to use the numerical integration tool https://www.zweigmedia.com/RealWorld/integral/integral.html
.
Transcribed Image Text:A bar of metal is cooling from 1000°C to room temperature, 21°C. The temperature, H, of the bar t minutes after it starts cooling is given, in °C, by H = 21 +979e-0.1t (a) Find the temperature of the bar at the end of one hour. (Round your answer to the nearest degree.) °C (b) Find the average value of the temperature over the first hour. (Round your answer to the nearest degree. **) °C (c) Is your answer to part (b) greater or smaller than the average of the temperatures at the beginning and the end of the hour? The answer to part (b) is [---Select--- ] than the average of the temperatures at the beginning and the end of the hour, because the graph is concave [---Select--- ** You may want to use the numerical integration tool https://www.zweigmedia.com/RealWorld/integral/integral.html .
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