Question

3. Calculate the error, relative error, and number of significant digits in the following approximations $x_T \approx x_A$. a) $x_T = 28.254$, $x_A = 28.271$ b) $x_T = 0.028254$, $x_A = 0.028271$ c) $x_T = \sqrt{2}$, $x_A = 1.414$

          3. Calculate the error, relative error, and number of significant digits in the following approximations $x_T \approx x_A$.
a) $x_T = 28.254$, $x_A = 28.271$
b) $x_T = 0.028254$, $x_A = 0.028271$
c) $x_T = \sqrt{2}$, $x_A = 1.414$

3. Calculate the error, relative error, and number of significant digits in the following approximations xT ≈ xA.
a) xT = 28.254, xA = 28.271
b) xT = 0.028254, xA = 0.028271
c) xT = √(2), xA = 1.414

Added by Melissa O.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Madhur L

03/21/2023

Step 1

271 - 28.254| = 0.017 For bx: error = |x - bx| = |0.028271 - 0.028254| = 0.000017 For cx: error = |x - cx| = |1.414 - 2| = 0.586 Show more…

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3. Calculate the error,relative error,and number of significant digits in the following ax=28.254,x=28.271 bx=0.028254,x=0.028271 cx=2,x=1.414

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3. Calculate the error, relative error, and number of significant digits in the following approximations $x_T \approx x_A$. a) $x_T = 28.254$, $x_A = 28.271$ b) $x_T = 0.028254$, $x_A = 0.028271$ c) $x_T = \sqrt{2}$, $x_A = 1.414$

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