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# Find the uncertainty in Y, given that X = 2.0 ± 0.3 anda. ISBN: 9780073401331 38

## Solution for problem 1E Chapter 3.3

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

Step 4 of 4

##### ISBN: 9780073401331

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