For the given surface f(x, y) = 2 + sin(xy) at the point (1, 0, 2), find the following: 1. Gradient vector to the surface at the point (1, 0, 2) 2. Equation of the tangent plane to the surface at the point (1, 0, 2) 3. Equation of the normal line to the tangent plane at the point (1, 0, 2). Find the linear approximation of the function at the given point. f(x, y) = -6x + 7y at (0,0) a. L(x, y) = 7x - 6y b. L(x, y) = 7x - 6y + 1 c. L(x, y) = -6x + 7y + 1 d. L(x, y) = -6x + 7y