Chapter 6: Q. 48 (page 512)
Consider the region between the graphs of and on . For each line of rotation given in Exercises 47–50, use definite integrals to find the volume of the resulting solid.
Short Answer
The volume of the solid is
Chapter 6: Q. 48 (page 512)
Consider the region between the graphs of and on . For each line of rotation given in Exercises 47–50, use definite integrals to find the volume of the resulting solid.
The volume of the solid is
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Get started for freeSketching 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 x-axis .
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.
Solve the initial-value problem
Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29-52.
Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29–52
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