missed pyq

After a thorough deep-check of the provided source PDFs against the generated categorization, I have found one missing question and two corrupted questions (due to markdown formatting truncation and a transcription hallucination).

Here are the missing and corrected questions, formatted in the exact same tabular structure:

Topic 2: Vector Calculus

Subtopic	Exact Question	Year(s) of Appearance	Figure / Reference
Vector Differentiation	[CORRECTED] Find the arc length of the curve traced out by the endpoint of the vector-valued function $\bar{r}(t)=⟨t^2,\cos t+t\sin t,\sin t-t\cos t⟩$, for $0\le t\le \pi$. (09)(Previously cut off due to raw < > brackets acting as hidden HTML tags)	2023	None
	[CORRECTED] Evaluate $\nabla \cdot \left[\frac{\bar{r}}{r^3}\right]$. (09)(Previously hallucinated an extra $\nabla$ inside the bracket)	2024	None

Topic 4: Fourier Series and Transform

Subtopic	Exact Question	Year(s) of Appearance	Figure / Reference
Fourier Series Expansion	[MISSING] Define piecewise continuity of a function. Give examples of piecewise continuous function as well as piecewise discontinuous function. (05)	2016	None

All other questions across the 2015–2025 papers were accurately captured and correctly categorized in your existing bank. You can seamlessly append these three entries into their respective tables!