# MV Calculus Formulas MV20d #185-216

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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
 Author: gkellymath ID: 285986 Card Set: MV Calculus Formulas MV20d #185-216 Updated: 2014-12-03 07:03:19 Tags: calculus HHS MV MV20 MV21 MV22 MV23 MV24 MV25 MV26 MV27 MV28 Folders: Description: Hanford High School Multivariable Calculus quiz MV20 #1-216 Show Answers: