Could somebody explain what exactly a "piecewise quadratic approximation" is?
Problem Statement
Find a piecewise quadratic approximation P(x) of f(x), where
f(x)=\sin{4x}\; on \; [0,\pi]
Plot f(x) and P(x) on [0,\pi].
What is the maximum value of the following:
|f(x)-P(x)| \; on \;[0,\pi]...