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Solving Extremum Problems in Multivariable Calculus

Learn key theorems and techniques for finding absolute and relative extrema of functions with constraints in multivariable calculus. Explore optimization methods on closed and bounded sets.

taylor-berger
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Solving Extremum Problems in Multivariable Calculus

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  1. Figure 14.1.5 (p. 928)

  2. Table 14.1.2a (p. 932)

  3. Table 14.1.2b (p. 932)

  4. Table 14.1.2c (p. 932)

  5. Table 14.1.2d (p. 932)

  6. Table 14.1.2e (p. 932)

  7. Table 14.1.2f (p. 932)

  8. Definition 14.2.1 (p. 939)

  9. Definition 14.2.3 (p. 941) (and shaded portion on 941)

  10. Theorem 14.2.4 (p. 941)

  11. Definition 14.3.1 (p. 946)

  12. Theorem 14.3.2 (p. 953)

  13. Definition 14.4.1 (p. 961) Definition 14.4.2

  14. Theorem 14.4.3 (p. 962) Theorem 14.4.4

  15. Theorem 14.5.1 (p. 968) Figure 14.5.1

  16. Theorem 14.5.4 (p. 972)

  17. Figure 14.5.2 (p. 972)

  18. Theorem 14.5.5 (p. 973)

  19. Figure 14.5.3 (p. 973)

  20. Definition 14.6.1 (p. 980) Definition 14.6.2

  21. Theorem 14.6.3 (p. 980)

  22. Definition 14.6.4 (p. 982)

  23. Theorem 14.6.5 (p. 983)

  24. Theorem 14.6.6 (p. 984)

  25. Theorem 14.7.1 (p. 990)

  26. Definition 14.7.2 (p. 991)

  27. Theorem 14.7.3 (p. 993)

  28. Definition 14.8.1 (p. 996) Definition 14.8.2 (p. 997)

  29. Theorem 14.8.3 (p. 997)

  30. Theorem 14.8.4 (p. 998) Definition 14.8.5

  31. Theorem 14.8.6 (p. 999)

  32. How to Find the Absolute Extreme of a Continuous Function f of Two Variables on a Closed and Bounded Set R (p. 1001)

  33. 14.9.1 (p. 1008)Three-Variable Extremum Problem with One Constraint 14.9.2 Two-Variable Extremum Problem with One Constraint

  34. Theorem 14.9.3 (p. 1010)

  35. Theorem 14.9.4 (p. 1012)

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