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

Chapter 3, Problem 1E

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QUESTION:

Find the uncertainty in Y, given that \(X=2.0 \pm 0.3\) and

a. \(Y=X^{3}\)


b. \(Y=\sqrt{2 X}\)


c. \(Y=3 / X\)


d. \(Y=\ln X\)


e. \(Y=e^{X}\)


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

Equation Transcription:






Text Transcription:

X = 2.0 plus minus 0.3

Y = X^3

Y = Sqrt 2x

Y = 3/X

Y = lnX

Y = e^X

Y = cosX

Questions & Answers

QUESTION:

Find the uncertainty in Y, given that \(X=2.0 \pm 0.3\) and

a. \(Y=X^{3}\)


b. \(Y=\sqrt{2 X}\)


c. \(Y=3 / X\)


d. \(Y=\ln X\)


e. \(Y=e^{X}\)


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

Equation Transcription:






Text Transcription:

X = 2.0 plus minus 0.3

Y = X^3

Y = Sqrt 2x

Y = 3/X

Y = lnX

Y = e^X

Y = cosX

ANSWER:

Solution:

Step 1 of 4:

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

When

  1. Y= .
  2. Y=  .

  1. Y =  3/X .

     (d) Y = ln X .

     (e)  Y = .

     (f)  Y =  cos X .


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