Feb 22

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Feb 22

The error in p can be calculated using the formula for the relative error:

Error in p = |(∂p/∂x) * error in x| + |(∂p/∂y) * error in y|

where ∂p/∂x and ∂p/∂y are the partial derivatives of p with respect to x and y, respectively.

Given that p = x/y, the partial derivatives are:

∂p/∂x = 1/y

∂p/∂y = -x/y^2

Therefore, the error in p can be calculated as:

Error in p = |(1/y) * error in x| + |(-x/y^2) * error in y|

Error in p = |(∂p/∂x) * error in x| + |(∂p/∂y) * error in y|

where ∂p/∂x and ∂p/∂y are the partial derivatives of p with respect to x and y, respectively.

Given that p = x/y, the partial derivatives are:

∂p/∂x = 1/y

∂p/∂y = -x/y^2

Therefore, the error in p can be calculated as:

Error in p = |(1/y) * error in x| + |(-x/y^2) * error in y|