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 {.}\) ...

Find the linear approximation of the function f (x)= √1+x f (x) = 1 + x at a= 3, a = 3, and use it to estimate the value of √5. 5 Use a sketch to explain if this is an overestimate or underestimate of ...

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

Linear approximations to Euler equations imply a linear relationship between expected consumption growth and uncertainty in consumption growth, with a slope coefficient that is a function of the ...

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 ...