(2) Let f = f(x, y) be defined by f(x, y)= x 2+3xy y 2. Find the equation for the tangent plane at the point (2,3, f(2,3)) using the equation z = f(a, b)+ fx(a, b)(x a)+ fy(a, b)(y b)|{z } L(x,y). Let L(x, y) denote the right hand side of this equation. This is the linear approximation formula. Compute L(2.05,2.96) as an approximation for f(2.05,2.96) and compare it to the exact value f(2.05,2.96).