Asked by olga
The measurement of the side of a square is found to be 12 cm with a possible error of 0.05 cm. Use differentials to estimate the propagated error ΔA in computing the area of the square. Please do not include the ± symbol in your answer. Round your final answer to one decimal place.
Answers
Answered by
Damon
A = x^2
A + dA = (x+dx)^2 = x^2 + 2 x dx + dx^2
if dx is small
A + dA = x^2 + 2 x dx
so
dA = 2 x dx
A + dA = (x+dx)^2 = x^2 + 2 x dx + dx^2
if dx is small
A + dA = x^2 + 2 x dx
so
dA = 2 x dx
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