(b) (10%) Solve the differential equations for any nonzero initial conditions (x₁₀, x₂₀).

(c) (10%) Draw the phase plane portraits for the solutions (x1,x2) of the following initial conditions:(x10,x20)=(0,0.5),(-1,0), and (1,-1).

(c) (5%) Suppose A = B+iC is a Hermitian matrix and let . Show that any eigenvalue λ of Ω is also an eigenvalue of A . 

Dear Ms. Miller: We are pleased to inform you that we have just    ①    our newly-developed sports bra, Sleek, which is designed for women who want to look good while breaking a sweat.As you have placed large orders for our workout leggings, we feel you will be interested in this new product. Our designers craft breathable, easy-care fabric into stylish, comfortable and    ②    sportswear that lets you stretch and run however you like. It    ③    with removable pads and is easy to put on and take off. Plus, it’s reversible so you get two looks for the    ④    of one. We have attached a brochure    ⑤    more detailed information about this state-of-the-art product. Should you have any questions, please do not hesitate to let us know. We look forward to hearing from you soon. Regards, Jamie Lin

1. 我們專門從事優質腳踏車的製造。 We    ①       ②    high quality bicycles.

2. 若您能寄一些材料的樣品過來，我們將感激不盡。 It would be    ③    if you could send some samples of the    ④   .

3. 請調查此事，馬上送貨勿再耽擱。 Would you please look into this matter and send our order without    ⑤       ⑥   ?

4. 關於受損貨品，我們已經向保險公司申請理賠。 Regarding the damaged goods, we have    ⑦    a    ⑧    with the insurance company.

5. 應您所求，隨函附上我們的目錄及價目表。   ⑨       ⑩    , we are enclosing our catalogue

二、貿易流程圖 (本題共 5 小題，每小題 2 分，合計 10 分) 請依下列之貿易流程圖，依序將①②③④⑤之步驟名稱填入答案紙之答案欄內。 (本測試項目評分依公佈範例為準)

貨號 A：併櫃方式報價

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