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50.Which of the following statements about Dr. Sartorelli’s study is true? (A) The more coffee your drink, the less likely you are to have heart trouble. (B) As many as 70,000 Brazilian women joined the research project. (C) Drinking coffee at any time of the day will reduce the chance of diabetes. (D) Statistically, the benefits of lunchtime coffee do not apply to those who drink coffee with

49.According to the passage, which of the following statements is true? (A) When you eat dinner with coffee, chances are that you will reduce the risk of type 2 diabetes. (B) Dr. Sartorelli’s research lasts more than a decade. (C) About 14 % of the women in Dr. Sartorelli’s research are diagnosed with diabetes. (D) His research findings are published in the journal: Scientific American.

48.When is it      NOT      true that the lunchtime coffee helps reduce the risk of type 2 diabetes? (A) When people have caffeinated coffee without sugar. (B) When people have decaf without sugar. (C) When people have caffeinated coffee with sugar. (D) When people have decaf or caffeinated coffee with milk.

(a) The matrix of coefficients A and column matrix of constants B are $A = \begin{bmatrix} 1 & 3 & 1 \\ 2 & 5 & 1 \\ 1 & 2 & 3 \end{bmatrix}$ and $B = \begin{bmatrix} -2 \\ -5 \\ 6 \end{bmatrix}$ It is found that |A| = –3 ≠ 0. Thus Cramer’s rule can be applied. We get \(A_1 = \begin{bmatrix} -2 & 3 & 1 \\ -5 & 5 & 1 \\ 6 & 2 & 3 \end{bmatrix}\) \(A_2 = \begin{bmatrix} 1 & -2 & 1 \\ 2 & -5 & 1 \\ 1 & 6 & 3 \end{bmatrix}\) \(A_3 = \begin{bmatrix} 1 & 3 & -2 \\ 2 & 5 & -5 \\ 1 & 2 & 6 \end{bmatrix}\) giving \(|A_1| = -3, |A_2| = 6, |A_3| = -9\)  。Cramer’s rule now gives \(x_1 = \frac{|A_1|}{|A|} = \frac{-3}{-3} = 1, x_2 = \frac{|A_2|}{|A|} = \frac{6}{-3} = -2, x_3 = \frac{|A_3|}{|A|} = \frac{-9}{-3} = 3\)

4. Solution \( dy + \tan x y dx = 2 \sin x \cos x dx \) Integrate factor \( I(x) = e^{\int \tan x dx} = e^{-\ln \cos x} = \cos^{-1} x \) \( d(\cos^{-1} x y) = 2 \sin x dx \) \( \cos^{-1} x y = -2 \cos x + c_1 \)

3. Solution \( (x^2y')' + (2xy)' = 0 \) \( x^2y' + 2xy = c_1 \) \( y' = dy/dx \) \( x^2dy + ydx^2 = c_1dx \) \( dyx^2 = c_1dx \)

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7. The whistleblower revealed that a _____ surveillance program had been operating within the agency, systematically collecting data on employees without their knowledge or consent. (A) covert (B) illicit (C) discreet (D) concealed

8. The financial gain from the merger proved _____, offset by the steep restructuring costs that had been grossly underestimated in the original feasibility report. (A) magnified (B) nominal (C) strategic (D) nimble

9. The mountain rescue was described as _____, but the team pushed through deteriorating weather conditions to reach the stranded climbers before nightfall. (A) stringent (B) panicking (C) growling (D) arduous

5.重新實施地籍測量時，土地所有權人應於地政機關通知之限期內，自行設立界標，並到場指界。逾 期不設立界標或到場指界者，依土地法規定逕行施測之第一順序為何？ (A)地方習慣 (B)現使用人之指界 (C)鄰地界址 (D)參照舊地籍圖

6.無保管或使用機關之公有土地及因地籍整理而發現之公有土地，由該管直轄市或縣(市)地政機關 逕為登記，其所有權人欄應如何註明？ (A)公有 (B)國有 (C)鄉(鎮、市)有 (D)直轄市有、縣(市)有

7.地政機關所收登記費，應提存多少作為登記儲金，專備土地登記錯誤等損害賠償之用？ (A)百分之十 (B)百分之五 (C)千分之十 (D)千分之五