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ANSWERS B

• 1.1 FUNCTIONS
• 1.2 Trigonometric Functions
• 1.3 Limits
• 1.4 Continuous functions
• 1.5 Sequences
• 1.6 Transcendental functions
• 2.1 Derivatives
• 2.2 Differentiation formulas
• 2.3 Higher order derivatives
• 2.4 Properties of functions
• 2.5 Curve sketching
• 2.6 Limits of indeterminate form
• 2.7 Taylor's theorem
• 3.1 Antiderivatives
• 3.2 Integration by substitution
• 3.3 Integration by parts
• 3.4 Integration of rational functions
• 3.5 Integration of trigonometric functions
• 3.6 Integration of irrational functions
• 3.7 Definite integrals
• 3.8 Evaluation of integrals
• 3.9 Improper integrals
• 3.10 Application of integrals
• 4.1 Functions of several variables
• 4.2 Partial derivatives
• 4.3 Limit of functions of two variables
• 4.4 Total differentials
• 4.5 Directional derivatives
• 4.6 Partial differentiation of composite functions
• 4.7 Extreme value of functions of two variables
• 4.8 Implicit functions
• 4.9 Lagrange's multiplier
• 5.2 Repeated interals
• 5.3 Change of variables
• 5.4 Improper integrals
• 5.5 Application of double integrals
• 5.6 Triple integrals