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Chapter 6: Q. 1 (page 499)
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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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.
Sketching disks ,washers and shells : sketch the three disks , washers , shells that result from revolving the rectangles shown in the figure around the given lines
The line
Write the volume of the two solids of revolution that follow in terms of definite integrals that represent accumulations of disks and/or washers. Do not compute the integrals.
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?
Given an initial-value problem, we can apply Euler’s method to generate a sequence of points , and so on. How are these coordinate points related to the solution of the initial-value problem?
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