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Chapter 6: Q. 16 (page 575)

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Most popular questions from this chapter

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 .

about the y axis

Use antidifferentiation and/or separation of variables to solve the given differential equations. Your answers will involve unsolved constants.

$\frac{d y}{d x} = \frac{3 x + 1}{x y}$

$\frac{d y}{d x} = 5 y, y (0) = 1$

Consider the region between the graph of $f (x) = x - 2$ and the x-axis on [2,5]. For each line of rotation given in Exercises 35鈥� 40, use definite integrals to find the volume of the resulting solid.

Each of the definite integrals in Exercises 19鈥�24 represents the volume of a solid of revolution obtained by rotating a region around either the x- or y-axis. Find this region.

$蟺 {鈭�}_{0}^{4} (2^{2} - {(\sqrt{y})}^{2}) dy$

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