TUTOR 7. LAGRANGE MULTIPLIER8) Find the extremum of with the conditioñ ̃ ̌ ̃ ̃ ̌(1) + (2) + (3) =Substitute into (1), (2)...
9. Distance from any point (x,y,z) to the origin:√(1) Into (2):When z=0, x=0,So, the critical point is (0, ,0)
10. ,Distance to origin :Find x, y and z as your exercise.Critical point: (0, √ , √ )(√) (√)Distance = 1 at (0, √ , √ ).
11. ,Find x,y and z. Do as your exercise.Critical point: ( √ √ √ )( √ √ √ ) ( √ )( √ ) ( √ )( √ ) ( √ )( √ )
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MTH3101 Tutor 7 lagrange multiplier

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MTH3101 Tutor 7 lagrange multiplier

  1. 1. TUTOR 7. LAGRANGE MULTIPLIER8) Find the extremum of with the conditioñ ̃ ̌ ̃ ̃ ̌(1) + (2) + (3) =Substitute into (1), (2) and (3).(do as your exercise)So, critical point( )Extremum of at the critical point( ) ( ) ( )
  2. 2. 9. Distance from any point (x,y,z) to the origin:√(1) Into (2):When z=0, x=0,So, the critical point is (0, ,0)
  3. 3. 10. ,Distance to origin :Find x, y and z as your exercise.Critical point: (0, √ , √ )(√) (√)Distance = 1 at (0, √ , √ ).
  4. 4. 11. ,Find x,y and z. Do as your exercise.Critical point: ( √ √ √ )( √ √ √ ) ( √ )( √ ) ( √ )( √ ) ( √ )( √ )

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