Solved: Show that a region T with boundary surface S has
Chapter 10, Problem 10.1.168(choose chapter or problem)
Show that a region T with boundary surface S has the volume
\(V =\iint_{S} x d y d z\)
\(=\iint_{S} y d z d x\)
\(=\iint_{S} z d x d y\)
\(=\frac{1}{3} \iint_{S}(x d y d z+y d z d x+z d x d y)\)
Text Transcription:
V = iint_{S} x dy dz
= iint_{S} y dz dx
= iint_{S} z dx dy
= 1 / 3 iint_{S} (x dy dz + y dz dx + z dx dy)
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