please show:

-sketch of surface

-path of max x-increase

-gradient of f at P

-max slope

e"=l+y2+z2 (a) There are two ways we can visualize this surface First, since we can isolate the variable x, we can think of S as the graph of the function f(y,z) =1n(l + y2 + 7.2). The vector Vf(P) in this case represents the direction in the yz-plane for which the corresponding path on the surface S at the point P sees the largest increase in the xdirection Sketch the surface S, mark the point P = (111(2), 0, I) ,draw the path on S in the direction of Vf(P), and compute the slope of this path (in the x-direction)