Measuring error analysis with 3 variables

  • Thread starter getty102
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  • #1
getty102
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Homework Statement


Consider the function F(xyz)=x^4+5y^4+2yz+3. Let the uncertainty in x be represented by the variable dx, the uncertainty in y be represented by the variable dy, and the uncertainty in z be represented by the variable dz.
Find an algebraic expression for the uncertainty in the function due to the uncertainty in x


Homework Equations



Δfx(x,y,z)=f(x+Δx,y,z)−f(x,y,z)

The Attempt at a Solution



ΔFx = [((x+dx)^4)+(5*(y^4))+(2*y*z)+3]-[(x^4)+(5*(y^4))+(2*y*z)+3]
I simply added dx to the variable x although this is not correct
 

Answers and Replies

  • #2
Simon Bridge
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I simply added dx to the variable x although this is not correct
In what way is this not correct?
 

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