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Statistics Homework Solutions 65

# Statistics Homework Solutions 65 - 65 SECTION 3.4 0 18 1...

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SECTION 3.4 65 (a) S 2 π r h 2 r 17 59, ln S ln 2 π ln r ln h 2 r ln S r 1 r 2 h 2 r 1 82143 ln S h 1 h 2 r 0 285714 σ ln S ln S r 2 σ 2 r ln S h 2 σ 2 h 0 18 S 17 59 μ m 18% (b) V π r 2 h 4 r 3 5 965, ln V ln π 2ln r ln h 4 r 3 ln V r 2 r 4 3 h 4 r 2 94944 ln V h 3 3 h 4 r 0 337079 σ ln V ln V r 2 σ 2 r ln V h 2 σ 2 h 0 30 V 5 965 μ m 3 30% (c) R c 2 π r h 2 r π r 2 h 4 r 3 c 2 h 4 r rh 4 r 2 3 2 95 c , ln R ln c ln 2 h 4 r ln rh 4 r 2 3 ln R r 2 2 r h 8 r 3 h 4 r 2 3 rh 1 12801 ln R h 1 2 r h 3 4 r 3 h 0 0513644 σ ln R ln R r 2 σ 2 r ln R h 2 σ 2 h 0 11 R 2 95 c 11% Note that the uncertainty in R cannot be determined directly from the uncertainties in
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