3-14. Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures. (a) 3.4 (±0.2) +2.6 (±0.1) = ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
ow
rand
s b
(d) [3.4 (±0.2) -2.6 (±0.1)] x 3.4 (£0.2)
0.8 (±) *3.4 (±0.2)
C₁ = √ (0.2)² + (0)²
= 0.2₂
0.8 (± 0.2₂) × 3.4 (0.2)
Sig fig: I
Sig fig:2
2.₁ (± er x)
5%)
?
es = √ (0.223 - Hoo)² + (0-24 + +lo)² = 28.₁
3.4
2.7 (± 28₁, 2)→ 27 (±0.75)
%)
→ Absolute uncertainty: 3 (±0.8)
relative uncertainty: 3(±28%).
Transcribed Image Text:ow rand s b (d) [3.4 (±0.2) -2.6 (±0.1)] x 3.4 (£0.2) 0.8 (±) *3.4 (±0.2) C₁ = √ (0.2)² + (0)² = 0.2₂ 0.8 (± 0.2₂) × 3.4 (0.2) Sig fig: I Sig fig:2 2.₁ (± er x) 5%) ? es = √ (0.223 - Hoo)² + (0-24 + +lo)² = 28.₁ 3.4 2.7 (± 28₁, 2)→ 27 (±0.75) %) → Absolute uncertainty: 3 (±0.8) relative uncertainty: 3(±28%).
3-14. Find the absolute and percent relative uncertainty and
express each answer with a reasonable number of significant
figures.
(a) 3.4 (±0.2) +2.6 (±0.1) = ?
(b) 3.4 (±0.2) 2.6 (±0.1) = ?
(c) [3.4 (±0.2) × 108] [2.6 (±0.1) x 10³] = ?
(d) [3.4 (±0.2) - 2.6 (±0.1)] x 3.4 (±0.2) = ?
Transcribed Image Text:3-14. Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures. (a) 3.4 (±0.2) +2.6 (±0.1) = ? (b) 3.4 (±0.2) 2.6 (±0.1) = ? (c) [3.4 (±0.2) × 108] [2.6 (±0.1) x 10³] = ? (d) [3.4 (±0.2) - 2.6 (±0.1)] x 3.4 (±0.2) = ?
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