In this exercise, we determine the equation of a plane tangent to the surface defined by f (x,y) = (x²+ y²) at the point (3, 4, 5). (a) Find a parameterization for the x = 3 trace of f. What is a direction vector for the line tangent to this trace at the point (3, 4, 5)? (b) Find a parameterization for the y = 4 trace of f. What is a direction vector for the line tangent to this trace at the point (3, 4, 5)? (c) The direction vectors in parts (a) and (b) form a plane containing the point (3, 4, 5). What is a normal vector for this plane? (d) Use your work in part (a), (b), and (c) to deterring an equation for the plane (It is called a tangent plane).