Answer: ?In the following exercises, change the order of integration and evaluate the
Chapter 5, Problem 115(choose chapter or problem)
In the following exercises, change the order of integration and evaluate the integral.
Let \(S_{1}\) and \(S_{2}\) be the solids situated in the first octant under the plane x + y + z = 2 and bounded by the cylinder \(x^{2}+y^{2}=4\) respectively.
a. Find the volume of the solid \(S_{1}\)
b. Find the volume of the solid \(S_{2}\)
c. Find the volume of the solid S by subtracting the volumes of the solids \(S_{1}\) and \(S_{2}\)
Text Transcription:
S_1
S_2
x^2+y^2=4
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