The area \(A\) of a square of side length \(s\) is \(A=s^2\text{.}\) Suppose \(s\) increases by an amount \(\Delta s=ds\text{.}\) Draw a square and then illustrate ...

The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...

Much scientific research across a range of disciplines tries to find linear approximations of nonlinear behaviors. But what does that mean? Spend some time browsing around the web site of MIT’s ...