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Q : 3
a) Initial Value Theorem.
By Initial Value Theorem :
Given: F(s) = (2s + 1) / s(s + 2)
∴ lim s · F(s)
= lim s(2s+1) / s(s+2)
= lim (2s+1) / (s+2)
= 2✓
Student correctly states the Initial Value Theorem and applies it to F(s) = (2s+1)/s(s+2). Limit computation and final value of 2 are accurate. Minor deduction for missing intermediate step notation.
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Q2(a) — What is Time Constant.
time constant equation follow.
= I · e-t/T / T0
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The old way vs. the AI-powered way.
| Feature | ✗Manual Grading | ✓ParikshAIPlatform |
|---|---|---|
| Time per 10,000 scripts | ✗2–3 Weeks | ✓Under 2 Weeks |
| Grading Consistency | ✗Varies by examiner, time of day | ✓Rubric-consistent · Zero evaluator drift |
| Script Support | ✗CBT only | ✓CBT + Scanned Handwritten Booklets |
| Human Override | ✗Manual re-evaluations | ✓Built-in Evaluator Portal |
| Error Detection | ✗Prone to fatigue & mood | ✓Automated Anomaly Flags |
| Result Publishing | ✗6–8 Weeks | ✓Under 3 Weeks |
| Audit Trail | ✗Paper records | ✓Full digital trail per script |
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