Math Problem Statement

A set of mathematical questions uploaded as an image, titled 'Perbaikan Nilai Kelas XII.'

Solution

I see you've uploaded an image of a mathematical worksheet. Let me transcribe and solve some of the problems for you. I'll provide detailed explanations for each solution. Which specific question(s) would you like me to work on first?

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Math Problem Analysis

Mathematical Concepts

Limits
Derivatives
Integrals
Optimization
Quadratic Functions

Formulas

Limit formulas: \( \lim_{x \to a} f(x) \)
Derivative formulas: \( f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \)
Integral formulas: \( \int f(x) \, dx \)
Quadratic equation for maximization: \( y = ax^2 + bx + c \)

Theorems

L'Hôpital's Rule
Basic rules of differentiation
Fundamental Theorem of Calculus

Suitable Grade Level

Grade 12 (High School)