ocr: PROBLEM 9. Let F(r,4,2)=r2. - + 2y2. + 22. + ryz. a) Find an equation for the tangent plane to the surface F(z,3,2)=5 at the point (1,0,2). b) Assume 2 = 2(7,9) is defined implicitly by F(r,9,2) I 1 5. Find ar dz and az dy 9a) - Vr-(2rnya)-C6y 12)8-033199)P Cat (1,0,2) VFz 27721+4P The egoaton LS 2(wvraly-9M83y0 O - 2,+2y-+2-10 t) *t2y.g'rxy2-5 2y:0-288-y3.7 5- - ( - - 32- - - - 22+XY 2r+y2 - - xy82-0 - O+ty +2 2282 X2+ 02- - 4ytXz 3Y 221XY