Math Problem Statement
ExamS1-Janv2024.pdf
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Solution
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Math Problem Analysis
Mathematical Concepts
Convexity of functions
Taylor series expansion
Limit evaluation
Integral calculus
Matrix operations and determinants
Formulas
Taylor series: f(x) ≈ f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2!
Limit definition and L'Hôpital's Rule
Integration by substitution
Determinant of a matrix
Theorems
Convexity criteria
Fundamental theorem of calculus
Matrix determinant properties
Suitable Grade Level
Undergraduate (Mathematics/Economics/Engineering)
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