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practice question of multivariable calculus
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Books Title: [1] Calculus Early Transcendental, by James Stewart 7th^ edition. [2] Advanced Engineering Mathematics, by H. K. Dass, 22th^ edition. 2018.
Domain Sketching & Level Curves [1] Pg# 878 Example 1, 4, 5 & 6. [1] Pg# 883 Example 9, 10, 11, 12 [1] Pg# 889 Ex 14.1, Q13, 15, 16, 17, 18, 19, 21, 22. Limit & Continuity [1] Pg# 894 Example 1 to 8 [1] Pg# 899 Exercise 14.2 Q5, 7, 9, 12, 13, 14, 18, 37, 38 & 39. [2] Pg# 1 Example 1 to 6 Exercise 1.1 Q 1 to 10 Exercise 1.2 Q 1 to 3
[1] Pg# 903 Example 1 to 9 Exercis14.3 Q11 to 22, Q31 to 38, Q41 to 44, Q47 to 50, Q53 to 58, Q63 to 70 Chain Rule [1] Pg# 925: Ex 3, 5, 7 [1] Pg# 930: Ex 14.5: Q1 to 12, Q21 to 23. Total Differential [1] Pg# 920: Example 4 and 5. Ex14.4: Q25-30, Q31 to 37. Tangent Plane [1] Pg# 922: Ex14.4, Q1 to 6 and Q25- 30 [1] Pg# 915: Example 1 to 4
Directional Derivatives [1] Pg# 937: Example 4, 5. [1] Pg# 943: Ex 14.6, Q11 to 17. [2] Pg# 388: Example 16. [2] Pg# 393: Example 26. [2] Pg# 397: Ex5.7. Q3, 7. Jacobian [2] Pg# 53: Example 62, 63, 64, 65. [2] Pg# 55: Ex 1.10: 1, 2, 3, 4, 7 Taylor’s Series [2] Pg# 67: Example 78, 79, 80 [2] Pg# 70: Ex: 1.16 Q1, and 2 [2] Pg# 70: Example 81, 82, 83, 84 [2] Pg# 74: Ex: 1.17 Q1, 2 and 3 Maxima and Minima Second derivative test [1] Pg# 946: Example 1, 2, 3, 4, 6, [1] Pg# 953: Ex 14.7: 5 to 7, 9 to 12, 29 to 36 [2] Pg# 76: Example 87, 88, 89, 90, 91, 92 [2] Pg# 80: Ex 1.18: 1, 2 Lagrange’s Methods [1] Pg# 959: Example 1, 2, 5 [1] Pg# 963: Ex 14.8: 3 to 13 [2] Pg# 82: Example 93, 94, 95, 96, 97, 101 [2] Pg# 89: Ex 1.19: 2, 5, 6, 12