8. If dy/dx = ysec² c and y = 5 when x = 0, then y =
(A)e^tanx+4
(B)e^tanx+5
(C)5e^tanx
(D)tanx+5
(E) tanx+5e。

4.就下述之極限而言,哪一個選項正確?(A)極限為1(B)極限為2(C)極限為0(D)極限為-1(E)極限不存在。

5.若對所有的實數x,F'(x)皆為連續函數,則等於下列哪一個選項? (A) 0 (B) F(0) (C) F(3) (D) F'(0) (E) F'(3)ㆍ

6. Note that z = f(x,y) where f is differentiable, x = g(t), and y = h(t). It is known that g(3)=2,g'(3)=5,h(3)=7,h'(3)=4,fx(2,7)=6,and fy(2,7)=-8. Determine the value of dz/dt at t = 3. (A)62(B) 30 (C)32 (D)-2 (E)1。

複選題7. Let g be the function given by g(x) =dt. Which of the following statements about g must be true?I. g is increasing on the interval (1,2). Ⅱ.g is increasing on the interval (2,3).III. g(3) ＞0 (A) I only (B) II only (C) II only (D) II and IIl only (E) I, I, and III。

複選題10.令l代表下列積分請問下列哪些選項是正確的? (A) I = (B)I= (C)I=∫∫Ω(x2+y2)dA,其中Ω為以(1,0)為圓心,半徑為1的圓盤 (D) I =(E) I ≤4ㅠ 

複選題11. Let A be the region bounded above by the graph of y = sin(πx) and below by the graph of y = x3 - 4x. (A)(2.1,0.8) falls into the region A. (B) The area of A can be represented bydx. (C) The area of A is equal to 4. (D)The region A is the base of a solid. For this solid, each cross section per- pendicular to the a-axis is a square.The volume of this solid is equal to dx. (E)The region A models the surface of a small pond. At all points in A tance :i from the y-axis, the depth of the water is given by h(x) = 3-x. The yolume of water in the pond is equal todx.

複選題9.當x=f(x,y)且x=rcosθ及y=rsinθ。請問下列哪些選項是正確的? (A) (B) (C) (D) (E)

1. 依據馮紐曼(Von Neumann)架構，中央處理單元(CPU)是包含哪兩個單元？ (A)算術邏輯單元 (ALU)、控制單元(Control) (B)算術邏輯單元(ALU)、記憶體單元(Memory) (C)控制單元(Control)、 輸入單元(Input) (D)算術邏輯單元(ALU)、輸入單元(Input)。

2. 若考量網路頻寬(Bandwidth)傳輸效能，下面哪一個代表速率最快？ (A) 0.5 Gb/s (B) 800 Mb/s (C) 900,000 Kb/s (D) 700,000,000 b/s。

3. 假設用來儲存資料的位元數為8位元(bits)，十進位數字 -37以2的補數法表示結果為： (A)11011011 (B)11011010 (C) 10100101 (D) 00100101。