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A heat source is applied to a metal surface, causing the temperature of the metal to increase with respect to time at a rate that is proportional to the sum of the metal's instantaneous temperature, T, and the metal's original temperature, To. Select the differential equation that represents the relationship. dT ==CT₁₂+T dt dT = c(T+T₂) dt OT = t (T+ To) OT = t (To+T)

A heat source is applied to a metal surface, causing the temperature of the metal to increase with respect to time at a rate that is proportional to the sum of the metal's instantaneous temperature, T, and the metal's original temperature, To. Select the differential equation that represents the relationship. dT ==CT₁₂+T dt dT = c(T+T₂) dt OT = t (T+ To) OT = t (To+T)

Calculus For The Life Sciences
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.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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A heat source is applied to a metal surface, causing the temperature of the metal to increase with respect to time at a rate that is proportional to the sum of the metal's instantaneous temperature, T, and the metal's original temperature, To. Select the differential equation that represents the relationship. dT ==CT₁₂+T dt dT = c(T+T₂) dt OT = t (T+ To) OT = t (To+T)
Transcribed Image Text:A heat source is applied to a metal surface, causing the temperature of the metal to increase with respect to time at a rate that is proportional to the sum of the metal's instantaneous temperature, T, and the metal's original temperature, To. Select the differential equation that represents the relationship. dT ==CT₁₂+T dt dT = c(T+T₂) dt OT = t (T+ To) OT = t (To+T)
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