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| Accuracy | Question | Correct/Attempt | Last Answer |
|---|---|---|---|
| 0% | Definition of Differentiability AP Calculus BC / Unit 2: Differentiation: Definition and Fundamental Properties | 0/1 | May 11, 2026 15:31 |
| 0% | Condition for the Existence of a Limit AP Calculus BC / Unit 1: Limits and Continuity | 0/1 | May 11, 2026 15:31 |
| 100% | Chain Rule in Implicit Differentiation AP Calculus BC / Unit 3: Differentiation: Composite, Implicit, and Inverse Functions | 1/1 | May 11, 2026 15:31 |
| 0% | I.
For the function $$f(x)=\cos(x)$$ on the interval $$[-\frac{\pi}{2}, \frac{\pi}{2}]$$, the average value is computed as $$\frac{1}{\pi} \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \cos(x)\,dx = \frac{2}{\pi}$$.
II.
By symmetry, one might incorrectly assume that the average equals $$\cos(0)=1$$, but this is not the case.
III.
Using the integral method confirms that the correct average value is indeed $$\frac{2}{\pi}$$.
Which of the above statements are true? AP Calculus BC / Unit 8: Applications of Integration | 0/1 | May 11, 2026 15:31 |
| 0% | Slope of a Parametric Curve AP Calculus BC / Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions | 0/1 | May 11, 2026 15:31 |
| 100% | 中国政府的审查与监控 AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:29 |
| 50% | Media Censorship and Human Rights in China AP Chinese / Unit 6 – Challenges in China | 1/2 | May 11, 2026 15:27 |
| 100% | 中国政府的抗议应对策略 AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:27 |
| 100% | Tiananmen Square Protests And Human Rights AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:24 |
| 100% | Multinational Companies and Human Rights in China AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:23 |
| 100% | 中国人权问题与国际反应 AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:22 |
| 100% | Economic Change and Educational Priorities in China AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:21 |
| 100% | 询问大学入学要求 AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:21 |
| 50% | Risks of China's Social Credit System AP Chinese / Unit 6 – Challenges in China | 1/2 | May 11, 2026 15:21 |
| 100% | Impact of the Gaokao System on Education AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:20 |
| 100% | 中国言论自由观点 AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:20 |
| 100% | 清晰表达个人观点 AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:20 |
| 100% | Harmonious Society and Censorship in China AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:18 |
| 0% | 互联网+政策对就业的影响 AP Chinese / Unit 6 – Challenges in China | 0/2 | May 11, 2026 15:18 |
| 100% | Educational Pressures on Chinese Students AP Chinese / Unit 6 – Challenges in China | 1/1 | May 11, 2026 15:17 |
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