Question

Easy Question!!

The side of a square is measured to be 16 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area. Include units in your answer

Answer 1

x=16
\[dx=\pm0.1\]
\[Area ~A=x^2\]
\[\frac{ dA }{ dx }=2x\]
dA=2x~dx
\[dA=2*16*\left( \pm0.1 \right)=?\]

Answer 2

well 32 plus or minus 0.1 right?

Answer 3

\[\pm~3.2\]

Answer 4

oh okay so you multiply the .1 by the 32 , i see

Answer 5

correct.

Answer 6

Thank you very much !! :D

Answer 7

yw