Chapter 6: Q. 1 (page 573)
Fill in the blanks to complete each of the following theorem statements.
The volume of a shell with height , average radius , and thickness is .
Chapter 6: Q. 1 (page 573)
Fill in the blanks to complete each of the following theorem statements.
The volume of a shell with height , average radius , and thickness is .
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Get started for freeUse 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 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.
Each of the definite integrals in Exercises 19–24 represents the volume of a solid of revolution obtained by rotating a region around either the x- or y-axis. Find this region.
The area of the surface obtained by revolving the curve
around the x-axis on.
Use antidifferentiation and/or separation of variables to solve the given differential equations. Your answers will involve unsolved constants.
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