Final answer:
The student seems to be asking about the value of a function f(x, y) given a first-order Taylor expansion around the point (0, 0), excluding the linear terms. The approximation would be made by evaluating f(x, y) directly at the given point without the linear terms.
Step-by-step explanation:
The student's question appears to involve finding an approximation for a function f(x, y) at a point near (0, 0) using a first-order Taylor expansion. When provided with an expression like f(x, y) ≠ f(0, 0) + fx(0, 0)(x - 0) + fy(0, 0)(y - 0), it suggests that we are excluding the first-order terms of the Taylor series expansion (represented by fx(0, 0)(x - 0) and fy(0, 0)(y - 0)) from the approximation of f(x, y) around the point (0, 0). As such, if we are to find the value of f(x, y) with these terms excluded, we would simply evaluate f(x, y) directly without considering the linearization provided by these first-order partial derivatives at the point (0, 0).