Solved: In a study of frost penetration it was found that

Chapter 11, Problem 11.3.74

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In a study of frost penetration it was found that the temperature at time (measured in days) at a depth (measured in feet) can be modeled by the function where and is a positive constant. (a) Find . What is its physical significance? (b) Find . What is its physical significance? (c) Show that satisfies the heat equation for a certain constant . ; (d) If , , and , use a computer to graph . (e) What is the physical significance of the term in the expression ?

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