3. Let F(x)= Evaluate F'(1).

5. 畫出由曲線 y = x, y = 2 - x², 0 ≤ x ≤ 1. 圍成之區域，求出此區域之形心與此區域各別繞兩座標軸所產生之體積。

V. Short Essay Writing 20%本大題請於答案卷上作答Directions: Read carefully the below passage about the issue of long-term care condition in Taiwan.Then write a well-organized short essay of approximately 200 words in English as your response to this passage. (Writing competency 40%, argumentation 30%, organization 30%)TAIPEI (Taiwan News) -- Taiwan is likely going to become a "hyper-aged" society within a mere eight years, according to the National Development Council (NDC), reported CNA.The NDC estimates that people over the age of 65 will make up over 20 percent of Taiwan's population in only eight year's time, thus making it a "hyper-aged" society.In fact, the NDC estimates that Taiwan will reach that milestone even faster than Japan (11 years), the U.S. (14 years), France (29 years), and the UK (51 years). Meanwhile, it is on a similar track as South Korea (8 years) and Singapore (7 years).

1. Find .

2. Find .

4. Evaluate

5. Evaluate

6. Let F = (yz) i + (xz) j + (xy) k, Find div (curl (F)).

7. Find the minimum value of the function f(x) = 2x3+ 3x2- 36x + 6 on the whole real line.

8. Evaluate where C is the triangle with vertices (0,0),(2,0) and (0,1).

9. Evaluate dzdydx.