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Update app.py
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app.py
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@@ -403,6 +403,13 @@ STRICT REQUIREMENTS:
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- Put each solution step on its own line in $$ $$
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- DO NOT use \\begin{{aligned}} or similar environments
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5. Include a detailed solution
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6. Maintain clear formatting
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7. At the end of the LaTeX solution output, print SymPy code that you would use to solve or verify the main equations in the question.
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8. When writing SymPy code to verify solutions:
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- Put each solution step on its own line in $$ $$
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- DO NOT use \\begin{{aligned}} or similar environments
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5. Include a detailed solution
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- If the question involves geometry make sure to identify any general geometric formulas that apply, For example:
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* Areas/volumes of common shapes and solids
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* Cross-sectional areas of geometric figures
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* Arc lengths and sector areas
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- When setting up differential equations either in calculus or differential equation applications
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* carefully consider the direction of change in variables
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* ensure integration bounds align with the physical direction of the process being modeled
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6. Maintain clear formatting
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7. At the end of the LaTeX solution output, print SymPy code that you would use to solve or verify the main equations in the question.
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8. When writing SymPy code to verify solutions:
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