46. There are two kinds of hand signs for sign language.

(1) Some hand signs are for whole words.

(2) The second kind of hand sign is fingerspelling.

(3) For example, there is one hand sign for the word “love.”

(4) That means there is a sign for every letter in the alphabet.
(A) 1243
(B) 3124
(C) 1324
(D) 3421

47. Dates stamped on food products tell consumers when the product is still fresh. (1) Some dates on the product are followed by the words “sell by.” (2) There are still others that are indicated as an expiration date. (3) Words associated with the dates to be stamped on the product can be categorized into three ways. (4) Others are after the words “best if used by.” (A) 3142 (B) 3124 (C) 1432 (D) 1423

48. There are more and more middle-aged adults who are returning to school either for their jobs or for their interests. (1) Going back to school not only helps adults work better in their jobs but also understand better the world around them. (2) There are also others who go back to classroom because of their interest in a new field, such as computer programming or foreign languages. (3) When they have better skills, there are more chances for them to get a raise. (4) They take courses offered in colleges to improve their job skills. (A) 1342 (B) 1432 (C) 4321 (D) 4123 

49. In spite of individual differences, there are some factors that may distinguish good administrators from poor ones. (1) In addition, good managers assign jobs to others, while poor ones do the jobs themselves. (2) Good managers anticipate problems, but poor ones are often taken by surprise.  (3) They prefer to take on one extra task after another rather than train employees to do the work right. (4) Even though there are problems that are hard to predict, good managers are always prepared for them. (A) 2413 (B) 2143 (C) 4231 (D) 1234

50. Doris Smith is looking for her mother who is suffering from Alzheimer’s disease. (1) If you see anyone fitting this description, please call Ms. Smith at 0978-161-354 or contact the police department immediately. (2) When she was last seen yesterday, she was wearing a black coat and black pants. (3) According to Ms. Smith, her mother is about five feet tall, very thin, light-skinned, and about 60 years old. (4) In addition, she has short, wavy gray hair and wears glasses. (A) 3421 (B) 1234 (C) 2431 (D) 1423

1. 求\( \lim_{x \to 9} \frac{x-9}{\sqrt{x}-3} \) =？ (A) 0 (B) 3 (C) 6 (D) 9

2. 設 \(f(x) = \sqrt{4x^2 + 9}\) ，則3 f (0) − f (1) =？ (A) – 4 (B) 2 (C) 9 − 13 (D) 4 

3. 下列函數之導函數，何者     錯誤     ？ (A)\( \frac{d}{dx}(\sin x) = -\cos x \) (B)\( \frac{d}{dx} (\cos x) = -\sin x \) (C)\( \frac{d}{dx}(e^x) = e^x \) (D)\( \frac{d}{dx} (\ln x) = \frac{1}{x} \)

4. 若函數 y = 2cos x − 3tan x ，則 \( \frac{dy}{dx} \) =？ (A) \( -2\sin^2 x - 3\sec x \) (B) \( -2\sin x - 3\sec^2 x \) (C)\(2\sin x - 3\sec^2 x\) (D)\(2\sin x + 3\sec^2 x\)

5. 設一矩形周長為 5，則該矩形最大的面積為何？ (A)\( \frac{25}{16} \) (B)\( \frac{25}{9} \)(C)\( \frac{25}{4} \)(D)\( \frac{25}{2} \)

6. 有關連續函數之性質，請問下列敘述何者     錯誤     ？ (A) 多項式函數不一定為連續函數 (B) 三角函數 sin x 與 cos x 皆為連續函數 (C) 有理函數在除了使分母為零的點以外皆為連續 (D) 若函數 f 與 g 在 x = a 皆連續，則 k f ( 其中 k 為常數 )、 f ± g 、與 f ⋅ g 在 x = a 亦皆為連續 

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