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Update app.py

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@@ -812,7 +812,11 @@ j. **Concluding and Intuitive Explanations**
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  - Conclude with an intuitive explanation of why the result makes sense, possibly connecting it to known theorems or simple examples.
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  - In notes after the proof, highlight potential sources of confusion for students and clarify tricky aspects of the problem.
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- 10. When analyzing area problems with multiple curves and quadrant restrictions, bounds mentioned in the problem that would lead to analyzing areas that fall outside the required region should be ignored
 
 
 
 
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  11. When finding critical points in multivariable calculus:
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  - Always check what happens when any variable equals zero (except where undefined)
 
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  - Conclude with an intuitive explanation of why the result makes sense, possibly connecting it to known theorems or simple examples.
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  - In notes after the proof, highlight potential sources of confusion for students and clarify tricky aspects of the problem.
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+ 10. If you specify a quadrant restriction (e.g. "in the first quadrant")
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+ in a problem with calculating area between lines/curves or volume between surfaces,
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+ make sure the question is CLEAR about what regions you intend the solution.
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+ - NOT CLEAR example: "Find the area of the region bounded by the curves y = sin(x), y = cos(x), and x = 7*pi/4 in the first quadrant."
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+ - CLEAR example: "Find the area of the region bounded by the curves y = sin(x), y = cos(x), and x = 7*pi/4. Then find the area of that region that intersects with the first quadrant."
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  11. When finding critical points in multivariable calculus:
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  - Always check what happens when any variable equals zero (except where undefined)