MV Calculus Formulas MV20d #185-216

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Author:
gkellymath
ID:
285986
Filename:
MV Calculus Formulas MV20d #185-216
Updated:
2014-12-03 02:03:19
Tags:
calculus HHS MV MV20 MV21 MV22 MV23 MV24 MV25 MV26 MV27 MV28
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Description:
Hanford High School Multivariable Calculus quiz MV20 #1-216
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  1. continuous function (two variable)
  2. equation of tangent plane
  3. linear approx. of surface
  4. total differential for 
  5. chain rule case I:  ,
  6. chain rule case II:  ,
         
  7. implicit differentiation: 
  8. implicit differentiation: 
           
  9. gradient vector
  10. directional derivative:
  11. maximum directional derivative
     in direction of 
  12. tangent plane to level surface
    •         
  13. normal line to level surface
      
  14. Lagrange Multiplier equation
  15. two constraint Lagrange Multiplier
  16. double integral over rectangle
  17. volume of solid above rectangle R and below   if  
  18. average value of function over rectangle
  19. Fubini’s Theorem
  20. type I:
  21. type II:
  22. polar double integral
  23. moment about x & y axis



  24. center of mass
            
  25. moment of inertia



  26. polar moment of inertia
  27. cylindrical to rectangular
              

         



  28. (cylindrical)
  29. spherical to rectangular
            




  30. (spherical)
  31. Jacobian of T given by

         
  32. change of var. in double integral

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