https://file.aiquickdraw.com/mathbot/file/17257961527191fh8i6g0.jpg

The image you uploaded contains mathematical exercises and text. I will analyze and help you solve or explain the content.

Let me transcribe and interpret the document, then provide the necessary solutions and explanations.

Give me a moment to process the information.The image contains a problem set involving various mathematical concepts. Here's a breakdown of the key parts of the document:

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### Part 1: General Equations and Formulae

The document provides several mathematical expressions related to functions, limits, or differentials, though the text is slightly blurred. I'll list some of the expressions it contains:

1. **Equation (i):**
   \[
   \frac{u^2 - v^2}{x^2 - y^2}
   \]

2. **Equation (ii):** This may involve an expression using limits or a certain function involving powers or differentials.

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### Exercises (Problèmes)

The document includes problem statements, possibly asking for simplification or solving of equations.

1. **Problem 1:**
   This problem likely asks to simplify or work with a given equation or function. The exact text is not fully clear, but it may involve proving or deriving something based on the earlier equations.

2. **Problem 2:**
   The second problem involves a different equation or set of steps involving calculations related to algebra or calculus (likely differentiation or integration).

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### Next Steps

Since the image text is not fully clear, please confirm if these exercises involve specific calculations, and I can guide you further. Alternatively, you can upload a clearer image or let me know the type of problems you're dealing with.

Do you have specific questions from the image, or should I help with general math concepts related to it?

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### Follow-Up Questions:

1. Would you like to focus on solving one of the specific problems in the image?
2. Do you need help with any particular equation or formula from the text?
3. Is this a part of a larger problem set that involves algebra or calculus?
4. Should I explain how to simplify the provided expressions step-by-step?
5. Would you like me to assist with related concepts such as limits, derivatives, or algebraic manipulation?

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**Tip:** When solving problems involving algebraic manipulation, always aim to simplify expressions first by factoring or using common denominators. This often makes the process of solving or proving the equations easier.

The original question appears to involve mathematical problems related to algebra or calculus, including simplification, derivation, or calculation involving equations or functions.

Explore solutions to algebraic and calculus problems involving limits, differentials, and various mathematical equations. Learn key concepts, formulas, and theorems such as the Fundamental Theorem of Calculus and limit rules. Suitable for undergraduate-level mathematics students.

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