\fLab 14.5 - M253: Problem 10 {'1 point} Find an equation ef the tangent plane to the surface 2 : 33 Dz+4y at the point {5, ll]. 2:: Lab 14.5 - M253: Problem 4 {1 point} Suppose 3' (any) : i P : {1, 2] and v : 3i 2j A. Find the gradient of f. Note: Your answers should be expressions ofx and v; eg. "3:: - 4v" E. Find the gradient offat the point F'. {so (P) = i+ Note: Your answers should be numbers EH C. Find the directional derivative off at P in the direction of v. Duf : Note: Your answer should be a number D. Find the maximum rate of change off at P. Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. u : i+ Note: Your answers should be numbers Lab 14.5 - M253: Problem 5 {1 point) The concentration of salt in a fluid at (x, y, z] is given by Fibs, y, z) = 3:132 + y4 + 33222 mge'cms. You are at the point (1, 1, 1]_ [a] In which direction should you move if you want the concentration to increase the fastest? direction: <.r3>