(e) lim_t→4 g(t)

3. (10%) Show that limx→0 x2 sin = 0.

(a)

(b)

5. (15%) Sketch the graph of

(a) x(2 + x5) dx

(b) dx

7. (10%) The region R enclosed by the curves y = x and y = x2 is rotated about the x-axis. Find the volume of the resulting solid.

8. (15%) A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y = ax2 about the y-axis. If the dish is to have a 10-ft diameter and a maximum depth of 2 ft, find the value of a and the surface area of the dish.

一、英翻中 (50%)  1. 摘錄自 Translaboration: Exploring collaboration in translation and translation in collaboration (178 words, 灰色處人名不用翻譯)   The fusion of translation and collaboration creates a 'translaboration', a so-called "blended concept" (Fauconnier and Turner 2002). Collaboration has made considerable inroads into Translation Studies in recent years, joining Translation Studies' central concept of 'translation' in investigations of the various types of collaborative translation occurring in both the offline and the online realms. The time is therefore ripe for the two concepts to converge, as they share many commonalities and have experienced a certain common fate, as will be shown in this introduction and the various contributions to this special issue of Target. The contributions collected here all focus on the specific meanings and facets of translaboration, as laid out in this introduction, and in doing so add new meanings and layers to the concept. The contributors all deal with the concept of translaboration in relation to their own specific themes and contexts, and together the individual contributions and this introduction cover an astounding spectrum of applications of this blended concept - a concept with well-defined contours, but a core that is still in the making.

2. 摘錄自 “Taiwan most democratic country in East Asia: The Economist" (117 words) Taiwan is the most democratic country in East Asia and No. 11 in the world, according to the annual Democracy Index published by The Economist Intelligence Unit (EIU經濟學人智庫) Tuesday (Feb. 2). The Economist explained that "The pandemic caused an unprecedented rollback of democratic freedoms in 2020." The report divided 167 countries into four categories: authoritarian regimes, hybrid regimes, flawed democracies, and full democracies. While Taiwan was still categorized as a "flawed democracy" in 2019, transparency in political party financing, as well as political and judicial reforms, propelled the nation 20 places higher on the current list, CNA reported. Taiwan was also one of only 38 countries to improve their ranking in 2020 compared to the previous year.

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