Answer Happy

D Question 17 Find an equation of the tangent plane to the surface x² + y² +2²-539 at the point (7.-7,14). O 14(x-7)-84(y + 7) +14(z-14) - 0 O 7(x-7)-42(y+7)+28(2-14) - 0 O 14(x-7)+84(y + 7) +28(z-14) - 0 O 14(x-7)-84(y+7)- 28(z-14) - 0 O 14(x-7)-84(y + 7) +28(2-14) - 0 Question 18. Identify any extrema of the function g(x,y)=(x-3)2+(-2)2 by recognizing its given form or its form after completing the square. O relative maximum: (-3,-2,52) O relative minimum: (-3,-2,0) O relative maximum:(-3,-2-52) O relative minimum: (3,2,0) O relative maximum: (3,2,0)

D D Question 19 Examine the function (x,y) - (-2x²-2y² + 2x-4y+1) for relative extrema. relative minimum: relative maximum: O relative maximum: (0,0,1) relative maximum: 112 O relative minimum: (0,0,1) Question 20 712 NIN Examine the function (x,y)-x-12xy + y² +2 for relative extrema and saddle points. relative minimum:(0,0,2): relative maximum: (4,4,-62) O saddle point:(0,0,2): relative minimum:( O saddle points: (0,0,2), (4,4,-62) O relative minimum: (4,4.-62); relative maximum: (0,0,2) O saddle point: (4.4.-62): relative minimum: (0,0,2) m:(4.4,-62)