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 For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 58CR

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