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 ...

This programming assignment requires you to formulate algorithmic problems as integer linear programs and solve them. You will need to use the PULP library as in the previous assignment. We will ...

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 ...

While I do spend lots of time pushing the idea of linear approximations on my students, we do need nonlinear functions to describe most interesting physical phenomena. The tradeoff for that is ...

Feedback in electrical and mechanical systems. Mathematical models of systems and linear approximations. Transfer functions of linear systems, block diagrams and signal flow graphs. Sensitivity, ...

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 ...