(b)Find the tangential component of the acceleration at the point1,2,1.
4.(a)Find the directional derivative off(x, y, z) =xyzat the point(1,2,3)in thedirectionh-3,4,0i.
(b)Find an equation for the tangent plane to the surfacexyz= 6at the point(1,2,3).
5.Find the absolute maximum and minimum, and the points at which they occur,of the functionf(x, y) =-x2+ 2x-2y2on the “filled ellipse”x2+ 4y2≤9.