This is the problem I'm trying to solve:
Let $f(x,y)=ay+sin(bx)+c$. Evaluate the Taylor polynomial at $P(0,0)$ and find the values for $a$, $b$ and $c$ if $P(x,y)=-1+2x-y$
I do know the linearization formula, but it requires me to use the value of $f$ at the given point. However, since there are 3 unknown constants, I don't know how to work this out... Thanks for your help.