10% (b).

I. Translate the following into Chinese.        After a late-night thrilling to the view of the Milky Way along the dark shores of Lake Superior, I climbed into bed prepared for a long sleep and a morning reveling in the experience.        That didn't happen.        Instead, I awoke at daybreak to a saturated sky alight with color. Stepping outside my rental cabin a few feet from the lake, I was immersed in the colors: blazing orange, searing yellow and a brilliant white line at the horizon. The water glistened as the sun began to emerge, calm waters quietly tapping the shore where aspen and birch leaves rippled in the crisp September morning. It nearly took my breath away.         This panoramic sunrise was like none I had ever seen, and it moved me in ways that are hard to explain. I had come to Michigan's wild and wondrous Upper Peninsula hoping to find transformative experiences that would soothe a pandemic-weary soul. I wanted to mark these strange times with something stunning, instead of only crisis and tragedy. So I headed north and let the stars guide my way.         The skies were clear and it was a little before midnight when my friends and I drove to Whitefish Point to look for the Milky Way. We climbed the wooden deck on the Lake Superior shore, near where the SS Edmund Fitzgerald sank in 1975.  (Excerpted from Chicago Tribune)  (詞彙表: Lake Superior              蘇必略湖 Michigan                      密歇根州 Upper Peninsula         上半岛 Whitefish Point            懷特菲什角 SSEdmund Fitzgerald 埃德蒙德·费茲羅號)

II. Translate the following into English.         自2018年7月展開的全臺海岸廢棄物快篩調查，在歷經四個季節的追蹤之後，首度獲得一份完整的臺灣本島海岸廢棄物報告。       大約200年前，法國美食家薩瓦蘭(Jean Anthelme Brillat-Savarin)曾說過：「告訴我你吃什麼，我就知道你是什麼樣的人。」200年後的今天，世界自然基金會在近期的報告中指出，每人每週平均會吃下大約5克的塑膠，這些塑膠微粒散布在空氣中、水中，甚至我們的食物中——科學家已在114種水生物種體內發現微塑膠，其中有半數都成了我們的盤中飧。且不論吃下塑膠的我們是怎樣的人，今日或許可借用薩瓦蘭的名言，改寫成：「告訴我你吃了什麼，我就知道你丟棄了什麼。」       我們在生活中製造的垃圾，每年有800萬公噸流入大海。根據國際淨灘行動(International Coastal Cleanup)2018年在全球的監測統計，前十名的海洋廢棄物當中，一次性塑膠製品就占了八種。塑膠分解成碎片後，最終透過食物鏈回到人體內。(摘錄自《國家地理》雜誌中文版)

(a) [(x² + 1)⁴] = ?

(b) ∫ excosx dx = ?

(c)= ?

(d) dx = ?

(a) (f⁻¹∘g⁻¹)(1) = ?

(b) (g⁻¹∘f⁻¹)(-3) = ?

3. Find the equation of the tangent line to the graph given by x²(x² + y²) = y² at the point (). (10 分)

4. A baseball diamond has the shape of a square with 60 feet long. A player running from second base to third base at a speed of 15 feet per second is 45 feet from third base. At what rate is the distance between the player and the home plate changing? (10 分)

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