5. [25 pts] Consider the function f(x, y) = z?

urgent- please help with this calculus questuon.. there arw multiple parts to it and it is is pretty extensive.. 6 parts o review question

• Attachment 1
• Attachment 2

5.[25 pts] Consider the function f(x, y) = z?y - 2x + 3y - 4.I. [3 pts] Calculate Vf(x, y).II. [5 pts] Show that the tangent plane to the surface z = f(x, y) at (1, 3, 6) is 4x + 4y - z = 10.With poid : 6III. [4 pts] The vector-valued function F (t) = (t2, 3t, z(t)) traces out a curve C in IR3. Find z(t) so that C lieson the surface z = f (x, y)-