1
answer
0
watching
155
views
13 Nov 2019
1. (32 pts.) Let f(x,y,z) = 8x3 + 2y3 + 4z2 .
(a) Find gradient f.
(b) Compute the directional derivative in the direction u = < 0 , -3/5 , 4/5 > .
(c) Give the tangent plane to the level surface 8x3 + 2y3 + 4z2 = 96 at the point P(2, 2, 2).
(d) Find all the points of this level surface where the tangent plane is normal to the z-axis.
1. (32 pts.) Let f(x,y,z) = 8x3 + 2y3 + 4z2 .
(a) Find gradient f.
(b) Compute the directional derivative in the direction u = < 0 , -3/5 , 4/5 > .
(c) Give the tangent plane to the level surface 8x3 + 2y3 + 4z2 = 96 at the point P(2, 2, 2).
(d) Find all the points of this level surface where the tangent plane is normal to the z-axis.
Trinidad TremblayLv2
30 Oct 2019
