A one-meter long bar has been heated unevenly, with temperature in °C at a distance a meters from one end at time t given by H(2, t) = 110e 0.06t sin(rz) 0SS1. (a) On a sheet of paper, sketch a graph of H against æ for t = 0 and t = 1. Use this graph to select all correct statements below. A. When t = 0, the rod is the same temperature throughout B. The rod is coldest at the r = 0 end, and warmest at the a = 1 and C. The two ends of the rod remain at 0°C D. The rod is coldest in the middle E. The middle of the rod gets colder over time OF. The closer you are to the middle of the rod, the greater the temperature change from t 0 to t= 1 G. None of the above (b) On a sheet of paper, sketch a graph of H against t for a= 1/8, a 1/4, and = 1/2. Use this graph, and your observations fre the previous graph, to select all correct statements below. JA. As time goes on, all part of the rod approach the same temperature B. The temperature near the middle of the rod changes most quicky when t= 0, and changes more slowly afterwards C. Larger a values correspond to a higher temperature

A one-meter long bar has been heated unevenly, with temperature in °C at a distance a meters from one end at time t given by H(2, t) = 110e 0.06t sin(rz) 0SS1. (a) On a sheet of paper, sketch a graph of H against æ for t = 0 and t = 1. Use this graph to select all correct statements below. A. When t = 0, the rod is the same temperature throughout B. The rod is coldest at the r = 0 end, and warmest at the a = 1 and C. The two ends of the rod remain at 0°C D. The rod is coldest in the middle E. The middle of the rod gets colder over time OF. The closer you are to the middle of the rod, the greater the temperature change from t 0 to t= 1 G. None of the above (b) On a sheet of paper, sketch a graph of H against t for a= 1/8, a 1/4, and = 1/2. Use this graph, and your observations fre the previous graph, to select all correct statements below. JA. As time goes on, all part of the rod approach the same temperature B. The temperature near the middle of the rod changes most quicky when t= 0, and changes more slowly afterwards C. Larger a values correspond to a higher temperature

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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A one-meter long bar has been heated unevenly, with temperature in °C at a distance r meters from one end at time t given by
H(2, t) = 110e 0.06t sin(rz)
0 < < 1.
(a)
On a sheet of paper, sketch a graph of H against z for t = 0 and t = 1. Use this graph to select all correct statements below.
DA. When t = 0, the rod is the same temperature throughout
OB. The rod is coldest at the z = 0 end, and warmest at the a = 1 and
C. The two ends of the rod remain at 0°C
D. The rod is coldest in the middle
E. The middle of the rod gets colder over time
F. The closer you are to the middle of the rod, the greater the temperature change from t = 0 to t = 1
G. None of the above
%3D
(b)
On a sheet of paper, sketch a graph of H against t for a = 1/8, a= 1/4, and = 1/2. Use this graph, and your observations from
the previous graph, to select all correct statements below.
A. As time goes on, all part of the rod approach the same temperature
B. The temperature near the middle of the rod changes most quicky when t = 0, and changes more slowly afterwards
C. Larger a values correspond to a higher temperature
D. Some parts of the rod are getting hotter over time, and other parts are getting colder over time
E. Larger z values correspond to a quicker change of temperature
F. None of the above

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