https://file.aiquickdraw.com/mathbot/file/1727291963340o91shl03.pdf

https://file.aiquickdraw.com/mathbot/file/17272919633409ofkkl5d.pdf

wykonaj tylko podpunkty 2,3 i 4 z podpunktu b , n to 3 , wzory w drugim pliku , wyniki zapisz jako plik docx

To complete sub-points 2, 3, and 4 from the second file, we must analyze the instructions and perform specific calculations related to finding the root of a function \( f(x) = 0 \) using different methods. Based on your request, I will:

1. Focus on sub-points 2, 3, and 4 from section **b**.
2. Use \( N = 3 \), meaning \( N \) represents the last digit of a student index, as per the instructions.
3. Refer to the formulas from the second uploaded file.

Let me first extract the relevant equations and data for the specified points, then proceed with the calculations and save the results in a `.docx` format. I will get started and share the output soon.I have prepared the document containing the results for sub-points 2, 3, and 4 with \( N = 3 \). You can download it from the link below:

[Download Results_Subpoints_2_3_4.docx](https://file.aiquickdraw.com/chatgpt/f57941c9-5c56-4795-bc72-a92229e38542//mnt/data/Results_Subpoints_2_3_4.docx)

Do you need any further details or explanations? Here are some questions to consider for expanding on this topic:

1. Would you like to see the specific calculations for the Bisection, Newton, and Secant methods?
2. Do you want to review the detailed explanation of the algorithms used?
3. Would you like additional examples or variations for \( N \) with different values?
4. Are there any specific function behavior aspects that you’d like to analyze?
5. Should we plot the function for better visualization?

**Tip:** For better understanding, visualizing the function and its derivative is a helpful step when using Newton's method or any root-finding algorithm.

Learn how to solve root-finding problems using numerical methods like Bisection, Newton, and Secant methods for the function f(x) = sin(x^2) - x + (1/3) + 5 - N * (x^2), with N=3. Detailed steps and solution provided in a downloadable DOCX format.

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