Find the minimum and maximum points of

f(x,y,z)=3x5y+4z+19

on the sphere

x2+y2+z2=16

a) i Minimum point:

(x,y,z)min=__________

ii Minimum value:

f(x,y,z)min= __________

b)Maximum point:

(x,y,z)max=

__________

ii Maximum value:

f(x,y,z)max=

__________