Representation of Taylor approximation for functions in 2 variables[br][br][b]Task[/b][br]Move[color=#0000ff][b] point P[/b][/color].[br]Increas slider n for the degree n of the Taylor polynomial and change the width of the area.[br]View the Taylor approximation for other functions f, [br]e. g. f(x,y) = sin(x) + 2, f(x,y) = 0.5*exp(x)*y etc

Find the Taylor polynomial of 2nd degree for [math]f\left(x,y\right)=e^{x+y}\cdot sin\left(x\right)[/math] at (0,0).