Find a linear approximation to the function \ (f (x)=\sqrt [3] {x+8}\) at \ (a=0\text {.}\) Use this approximation to estimate the numbers \ (\sqrt [3] {7.95}\) and \ (\sqrt [3] {8.1}\text {.}\) ...

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

We study in detail the log-linear return approximation introduced by Campbell and Shiller (1988a). First, we derive an upper bound for the mean approximation error, given stationarity of the log ...