1.4 KiB
1.4 KiB
| id | title | mode | open_at | close_at | retakes_enabled | max_attempts | grade_max |
|---|---|---|---|---|---|---|---|
| act-02-integrals-and-applications-homework | Unit 02 — Integrals and Applications | homework | 2026-02-01T00:00:00+01:00 | 2026-12-31T23:59:59+01:00 | true | 999 | 100 |
Unit 02 — Integrals and Applications
T1
Type: essay Points: 25 Prompt: Explain the difference between an antiderivative and a definite integral (interpretation). Refs:
- mat-04-integrals#antiderivative
- mat-04-integrals#definite-integral Rubric:
- Correct distinction (15)
- Meaning/interpretation is clear (10)
T2
Type: essay Points: 25 Prompt: Compute the definite integral from 0 to 1 of 3x^2 dx. Refs:
- mat-04-integrals#basic-integration-rules
- mat-04-integrals#definite-integral Rubric:
- Correct antiderivative and evaluation (20)
- Clear presentation (5)
T3
Type: essay Points: 25 Prompt: State the fundamental theorem of calculus in your own words and explain what it connects. Refs:
- mat-04-integrals#fundamental-theorem-of-calculus Rubric:
- Correct statement at a high level (15)
- Explains connection between differentiation and accumulation (10)
T4
Type: essay Points: 25 Prompt: Optimization mini-task: For f(x)=x^2-4x+1, find the x that minimizes f(x) and the minimum value. Refs:
- mat-03-derivative-applications#optimization-workflow
- mat-02-derivatives#critical-points Rubric:
- Computes derivative and critical point correctly (15)
- Correct minimum value and interpretation (10)