Question

Guys I give medals
The side of a square is measured to be 10 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area

Answer 1

@jim_thompson5910

Answer 2

@phi

Answer 3

A = s^2

Answer 4

@satellite73

Answer 5

@satellite73
@satellite73
@satellite73 @satellite73 @satellite73

Answer 6

@poo

Answer 7

@pooja195

Answer 8

@peachpi

Answer 9

@satellite73 @satellite73

Answer 10

@Gokuporter

Answer 11

A = s^2
dA/ds = 2s
dA = 2s*ds

plug in the given side length (s = 10) and the error in the side length measurement (ds = 0.1) to find the error in the area measurement (dA)