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Find the uncertainty in Y, given that X = 2.0 ± 0.3 anda.

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 1E Chapter 3.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 1E

Find the uncertainty in Y, given that X = 2.0 ± 0.3 and

a. Y = X3

b.

c. Y = 3/X

d. Y = ln X

e. Y = eX

f. Y = cos X (X is in units of radians)

Step-by-Step Solution:

Step 1 of 4:

The value X= 2.0 . we have to find the uncertainty of Y .

When

Y= .Y=  .Y =  3/X .

     (d) Y = ln X .

     (e)  Y = .

     (f)  Y =  cos X .

Step 2 of 4:

It is given that X= 2.0 . so the uncertainty   0.3.We have to find the uncertainty of Y when Y= .

The uncertainty||  

                           =  

                Y =

                   = 

                             

So  uncertainty in Y is

                     

             

                           = | 3 | 0.3

                           = | 3 (2.0|

                           =  12

                           =  3.6 .

So the uncertainty of Y is 3.6.

Step 3 of 4

Chapter 3.3, Problem 1E is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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Find the uncertainty in Y, given that X = 2.0 ± 0.3 anda.

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