Suppose that E1, E2 are Jordan regions in Rn. a) Prove that if E1 E2, then b)
Question:
a) Prove that if E1 E2, then
b) Prove that E1 © E2 and E1 E2 are Jordan regions.
c) Prove that if E1, E2 are nonoverlapping, then
Vol(E1 E2) = Vol(E1) + Vol(E2).
d) If E2 E1, prove that
Vol(E1 E2) = Vol(E1) - Vol(E2).
e) Prove that
Vol(E1 U E2) = Vol(E1) + Vol(E2) - Vol(E1 © E2).
Transcribed Image Text:
Vol(E) S Vol (E2)
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a If R j E 1 then R j E 2 Hence V E 1 G V E 2 G for every grid G Taking the infimum o...View the full answer
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