Chapter 6: Q. 13 (page 574)
We have been given
a
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Use antidifferentiation and/or separation of variables to solve the given differential equations. Your answers will involve unsolved constants.
Use the solution of the differential equation for the Newton’s Law of Cooling and Heating model to prove that as t → ∞, the temperature T(t) of an object approaches the ambient temperature A of its environment. The proof requires that we assume that k is positive. Why does this make sense regardless of whether the model represents heating or cooling?
Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29–52
Consider the region between the graph of and the lineon For each line of rotation given in Exercises 41–44, use definite integrals to find the volume of the resulting solid.
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