9.2(±0.4) × ([5.4 (±0.3) × 10-°] + [5.6 (±0.1) × 10-°1) = 0absolute uncertainty:.005percent relative uncertainty:5%* TOOLSx10

First add the given expression. Given=…

Answered: 9.2 (±0.4) × ([5.4(±0.3) × 10-³] + [5.6…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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9.2(±0.4) × ([5.4 (±0.3) × 10-°] + [5.6 (±0.1) × 10-°1) = 0
absolute uncertainty:
.005
percent relative uncertainty:
5
%
* TOOLS
x10

Expert Solution

Step 1

First add the given expression.

$\begin{matrix} G i v e n = 9.2 (\pm 0.4) \times ([5.4 (\pm 0.3) \times 10^{- 3}] + [5.6 (\pm 0.1) \times 10^{- 3}]) \\ A l g e b r i c = [5.4 \times 10^{- 3}] + [5.6 \times 10^{- 3}] \\ = (5.4 + 5.6) \times 10^{- 3} \\ = 11 \times 10^{- 3} \\ A b s o u t e u n c e r t a i n i t y = \sqrt{{(0.3)}^{2} + {(0.1)}^{2}} \\ = 0.316228 \\ S o, ([5.4 (\pm 0.3) \times 10^{- 3}] + [5.6 (\pm 0.1) \times 10^{- 3}]) = 11 (\pm 0.316228) \times 10^{- 3} \end{matrix}$

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