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Chapter 6: Q. 2 (page 573)
find an equation that gives y as an implicit function of x. Then draw the continuous curve that satisfies this differential equation and passes through the point (2, 0).
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In the process of solving by separation of variables, we obtain the equation . After solving for , this equation becomes . How is related to ? What happened to the absolute value?
Prove Theorem 6.22 by solving the initial-value problem with T(0) = T0, where k and A are constants.
Sketching a representative disks ,washers and shells : sketch a representative disks , washers , shells for the solid obtained by revolving the regions shown in figure around the given lines .
The x axis
Consider the region between the graph of and the x-axis on [2,5]. For each line of rotation given in Exercises 35– 40, use definite integrals to find the volume of the resulting solid.
Consider the region between the graph of and the x-axis on [1,3]. For each line of rotation given in Exercises 31– 34, use definite integrals to find the volume of the resulting solid.
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