Use DE to show error percentage

[adomad123]

Homework Statement

Use Differentials to show that an error of 2% in the measurement of the side of a square results in an error of approximately 4% in the calculation of the area

Homework Equations

I'm using Area =(sΔx)^2

The Attempt at a Solution

Using Δx=0.02,
Area= $s^{2}$$0.02^{2}$ =$s^{2}$/2500=0.04%$\times$$s^{2}$

 

[Mark44]

Homework Statement

Use Differentials to show that an error of 2% in the measurement of the side of a square results in an error of approximately 4% in the calculation of the area

Homework Equations

I'm using Area =(sΔx)^2

This is incorrect. The formula for area is A = s². The differential of the area would be dA = (dA/ds) * ds ≈ dA/ds * Δs.

Don't confuse yourself by using two variables for the length of a side of the square. You shouldn't have both s and Δx in your work.

The Attempt at a Solution

Using Δx=0.02,
Area= $s^{2}$$0.02^{2}$ =$s^{2}$/2500=0.04%$\times$$s^{2}$

 

[Ray Vickson]

Homework Statement

Use Differentials to show that an error of 2% in the measurement of the side of a square results in an error of approximately 4% in the calculation of the area

Homework Equations

I'm using Area =(sΔx)^2

The Attempt at a Solution

Using Δx=0.02,
Area= $s^{2}$$0.02^{2}$ =$s^{2}$/2500=0.04%$\times$$s^{2}$

Do you really not know the difference between 4% and .04% ?

 

[adomad123]

Do you really not know the difference between 4% and .04% ?

i know... i got it wrong... hence I'm asking for help.