Answer :
By using the differentials to approximate the possible propagated error in computing the area of the end of the log is ±2π
The measurement of the radius of the end of a log = 8 inches
The possible error of radius = 1/8 inches
The area of cross section of the end of the log = πr^2
A = πr^2
dA / dr = 2πr
dA = 2πr(dr)
Here the possible error of radius = 1/8 inches
dr = 1/8 inches
Substitute the values in the equation
dA = 2π × 8 × (± 1/8)
= ±2π
Therefore, the possible propagated error in computing the area is ±2π
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