Solved: ?In the following exercises, change the order of integration and evaluate the
Chapter 5, Problem 112(choose chapter or problem)
In the following exercises, change the order of integration and evaluate the integral.
Let \(S_{2}\) and \(S_{2}\) be the solids situated in the first octant under the planes x + y + z = 1 and x + y + 2z = 1, respectively, and let S be the solid situated between \(S_{1}, S_{2}, x=0\) and y = 0.
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
S_1,S_2,x=0
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