Let f(z, y) be a function whose partial derivatives exist and are continuous at a point (a, b). Which of the following statements are true? Select all that apply. For points (z, y) within a small...

Solve multiple choice question correctly

Extracted text: Let f(z, y) be a function whose partial derivatives exist and are continuous at a point (a, b). Which of the following statements are true? Select all that apply. For points (z, y) within a small distance &> 0 of O (a, b), f(1, y) = f(a, b) + f-(a, b) (x – a) + fy(a, b) (y – b). The tangent plane to the graph of f at (a, b) is the graph of the linearization La) (T, y) of f. f: (a, b) is the slope of the tangent line to the cross-section y = b at the point (a, b, f(a, b)) O None of the above