Maximize the function f(r, y, z) = r*y# subject to the constraint z² + y* + z =²,where c+ 0.b)Find the points on the curve of intersec-tion of the plane 2r + 2y + z = 2 and thecylinder a? + y² = 4 which are nearest toand furthest from the origin.c)Find the points on the solid ellipsoid 62 + 2y² + z² < 12 where f(x, y, z) = x(y+ 2)attains its global maximum.

Name: Maximize the function f(r, y, z) = r*y# subject to the constraint z²
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Maximize the function f(r, y, z) = r*y# subject to the constraint z² + y* + z =²,where c+ 0.b)Find the points on the curve of intersec-tion of the plane 2r + 2y + z = 2 and thecylinder a? + y² = 4 which are nearest toand furthest from the origin.c)F