Let f(x, y) = 5x 2y − 3x2 +
2y3 + 3xy, P be the point (1, −2) and a = <3, −5>.
This problem has five parts.
(a) [5 pts.] Find the first partial derivatives of f(x, y).
(b) [5 pts.] Find all of the second-order partial derivatives of
f(x, y).
(c) [5 pts.] Find an equation of the tangent plane to f(x, y) at
P.
(d) [5 pts.] Find ∇f. (This is still part of number 8)
(e)Find the...