Use a linear approximation to estimate \(f(0.9)\) and \(f(1.1)\text{.}\) Are your estimates in part (a) too large or too small? State Newton's iterative formula that produces a sequence of ...

Linear approximation is a method used to estimate the value of a function near a given point using the tangent line at that point. This technique simplifies complex functions into a linear form ...

We consider linear fixed point equations and their approximations by projection on a low dimensional subspace. We derive new bounds on the approximation error o ...

Sets of multivariable functions are described for which worst case errors in linear approximation are larger than those in approximation by neural networks. A theoretical framework for such a ...

A Collection of Problems in Differential Calculus: Problems from Calculus I Final Examinations, 2000-2020 Department of Mathematics, Simon Fraser University Veselin Jungic – Petra Menz – Randall Pyke ...