[vEnhance]

Closes #71.

Proofread src/sol-kilo.typ (solutions for Part Kilo's practice half-final). Found and fixed:

• exer-mf-1: "real and imaginary part are both negative" → "parts" (matches the same grammar fix already applied to the problem statement in src/practice.typ by fix: Proofread Part Kilo (practice questions) #93).
• exer-mf-2: the second eigenvector equation dropped the x variable, -4+(6-5)y=0 instead of -4x+(6-5)y=0.
• exer-mf-3: the problem asks for the distance from $(1,2,3)$ to the plane, and the formula plugged in $(1,2,3)$ correctly (abs(1+2+3-11)/sqrt(3)), but the prose said "distance from $(0,0,0)$"; fixed to match both the problem statement and the computation.
• exer-mf-6: two lines kept a spurious leftover dif y after the $y$-integral had already been evaluated out (the result z^2/2 no longer has a $y$ to integrate over).
• exer-mf-8: $\mathcal{T}$ was described as the cylinder "$1 <= z <= 2$", which doesn't match $\mathcal{S}$, $\mathcal{S}{"top"}$ ($z=9$), or $\mathcal{S}{"bottom"}$ ($z=7$); fixed to "$7 <= z <= 9$". Also changed the bottom lid's normal from "oriented outwards" to "oriented downwards" for clarity, parallel to the top lid's "oriented upwards" (the actual computation already correctly used $\langle 0,0,-1\rangle$).

I independently re-derived all eight boxed final answers ($-5\sqrt3-5i$, $\lambda=5$ with eigenvector $(1,4)$, $b=11$ and distance $5/\sqrt3$, the saddle/local-max examples, $f(-2,0)=-4$ and $f(2,\pm\sqrt5)=22$, $(e-1)/6$, $c=-2$ with max line integral $16$, and flux $400\pi$) against the problem statements in src/practice.typ. No large mathematical errors were found — all issues above were either wording/typo slips or stray inconsistencies that didn't affect the final boxed answers.

Test plan

• Ran codespell on the changed file — no issues.
• typst/asy aren't available in this environment, so I could not compile lamv.typ directly; all edits are plain-text substitutions within existing math/prose lines and don't alter any Typst syntax (labels, refs, braces, or markup).

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Generated by Claude Code

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Generated by Claude Code