Answer: ?In the following exercises, change the order of integration and evaluate the

Chapter 5, Problem 114

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In the following exercises, change the order of integration and evaluate the integral.

Let S1 and S2 be the solids situated in the first octant under the plane x + y + z = 2 and under the sphere \(x^{2}+y^{2}+z^{2}=4\) respectively. If the volume of the solid \(S_{2}\) is \(\frac{4 \pi}{3}\) determine the volume of the solid S situated between \(S_{1}\) and \(S_{2}\) by subtracting the volumes of these solids.

Text Transcription:

S_1

S_2

x^2+y^2+z^2=43

frac.4pi/3

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