For the following functions. (3) Find the unit vector that gives the direction of steepest ascent at the point P 03} Find a unit vector points in a direction of no change. (i) they) = ln(l + try) at the point P(2,3) (ii) f(x,y) = \"'4 x2 y2 at the point P( l, l} 5. Find the equation of the plane tangent to the following surfaces at the given point P. (a) xysin(z) - 1 = 0 at the point P (1 , 2 , " ) (b) Z = x2ex-y at the point P(2 , 2 , 4)6. Identify the critical points of the function they) = xy(2 + x}(y 3). The determine wheter each critical point corresponds to a local maximum, minimum , saddle point or is inconclusive