The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the ca

Question

avanturin [10]

3 years ago

11

The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the ca

lculated area. Include units in your answer

Mathematics

2 answers:

DIA [1.3K] · Answer 1 · 2021-12-01T01:25:59+03:00

DIA [1.3K]3 years ago

5 0

Check the picture below.

Nutka1998 [239] · Answer 2 · 2021-12-01T03:51:28+03:00

The answer to this question is:

The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area. Include units in your answer?.
<span>✔️</span>X is the side
✔️A is the area of square.
✔️dA=d(X^2)=2X*dx----The error on A would be
✔️delta(A)=2*X*delta(X) = 2*10*0.1 (ft^2)=2 ft^2
✔️Then the error is +-2 ft^2

Hoped This Helped, <span>Cello10
Your Welcome :) </span>