Evaluate the directional
derivative of
fx, y, z = 3x - 5y + 2z at
2, 2, 1 in
the direction of the outward normal to the sphere
x2 + y2 + z2 = 9.BITMAPSETAnswer0.2603in0.2421in0ina1
2.
Find a vector v normal to the surface
z = + x2 + y2 at the point
x, y, z≠0, 0, 0 on the surface.BITMAPSETAnswer0.2603in0.2421in0ina2
3.
Let
fx, y, z = denote
Newton's gravitational potential. Show that the gradient is given by