3. Find .

(9)=_________

(10)If f(x)=x5+3x+9,then =_________

二.計算證明題: 1. Show that the equation x5 + 6x + 9 = 0 has exactly one real root.

2. Find the absolute maximum and minimum values of f(x, y) = x2 + y2 + 6xy on the disc x2 + y2 ≤ 1.

1. 「價值」(Value)不但對學習過程或是學習結果而言很重要,也在「科技輔助學習」(Technology-enhanced Learning, TEL)和「人工智慧」(Artificial Intelligence, AI)領域裡扮演舉足輕重的角色。

2. 「藍海策略」(Blue Ocean Strategy)最初的設計理念是幫助公司從擁擠又競爭的環境(紅海)跳脫出來,並得 以進入創新又具發展性的領域(藍海),有助於公司未來的商機與發展。

3. 以不同觀點創造先前尚未釐清之研究主題:當探索跨學科的知識時,必須要留意整合不同學科的多元化觀點 的情況及可能性。

1. Making the research collaborative: We should work with practitioners and researchers in different departments and colleges, or with different backgrounds, but we need to be careful about the conflicts that may be inherent in the meeting of different perspectives.

2. Generating and capturing a new research question with personal insight and consulting with others: We. should search and review the latest literature in various trans-disciplinary fields in databases and search engines for new Al tools, areas and demands, using our own direct intuition, prior experience and imagination. We should then ask reliable experts for their opinions on the newly self-devised research topic or question in order to obtain a better research design.

3. Surpassing the value/cost trade-off and focusing on successful innovation: We should aim to realize short-term and long-term plans in an organized way with reasonable expenses, and anticipate unexpected outcomes. While in the research process, we should prioritize successful innovation, not the value/cost ratio. New opportunities, including financial support, are likely to come from this approach.