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• 28.生鮮大賣場擬定三種促銷方案促銷蔬果汁，如右圖所示。 小明買 5 瓶蔬果汁，可以選擇什麼方案較划算?(A) 甲和乙 (B) 甲和丙 (C) 乙和丙 (D) 甲、乙、丙都一樣划算
• 7. (5%) Consider a regular transition matrix for a three-state Markov chain, with the 10.3 initial
• 8. (5%) Which of the following vectors are linearly independent in the vector space R3? (A)[1,1,3]T,
• 9. (5%) Consider the system of linear equations:x +2y +4z =8x+y+3z=-2x-3y-z=0Which of the following
• 8.有一正弦波電屋,頻率為50Hz,當時·達到最小值-10V,則此電壓方程式為何?
• 9. 某一交流系统,電壓為100sin100t負載消耗的平均功率為3KW,功率因數為0.6(滯後),若要提高系統的 功率因數至1.0,則需並聯多少容量的電容器? (A)8000μF (B)4000μF
• 10. (5%) Which of the following matrices is diagonalizable?
• 11. (5%) Suppose that the characteristic polynomial of a matrixA isp(λ)=λ(λ-1)(λ-2)2(λ+3)3. Which of
• 12. (5%) Let A be an n by n matrix. Which of the following statement is NOT identical to others? (A)
• 13. (5%) Let vi, ... , Vn be vectors in a vector space V for n ＞ 0.Which statement is NO'T corr
• 14.(5%) Which one is NOT an eigenvalue of (A)1 (B) 2 (C) 3 (D) 4 (E) 5 O I 4 -2]
• 15.(5%) Let Which value of a can make A defective? (A) No value of a can make A defective (B) -2 (C)
• 16. (5%) Kim is at a train station, waiting to make a phone call. Two public telephone booths, next
• 17. (5%) Let X and Y be independent random points from the interval (-1,1). Find E(max(X,Y)). (A) 2
• 18.(5%) A stick of length 1 is broken into two pieces at a random point. Find the correlation coeffi
• 19. (5%) A traffic light can be in one of the three states: Green (G), Red (R), and Yellow (Y). The
• 20.(5%) Let X1,X2, ....Xn be n identical and independently distributed exponential random variables
• 10.如下图所示RLC串並联交流电路,若試求電流為何? (A)2∠53° (B) 2∠233* (C) 4∠53*(D)-2∠53* A
• 11.如圖所示電路,若輸出RL=5KΩ之負栽,且連波因數不得高於0.005,則濾波電容C最小值應為少 (A)48μF (B)96μF (C)192μF (D)240μF
• 29.五年愛班學生中，喜歡數學的占 ，喜歡國語的占 ，兩科都喜歡的占，以下敘述何者不正確? (A)喜歡數學或國語的占全班的(B)數學與國語都不喜歡的占全班的(C)喜歡國語，但不喜歡數學的占全班的 (D
• 12.如下圖所示電路,若稽納二體(Zener Diode)之崩潰電壓 Vz=6V,崩潰膝點電流Izk=1mA,最大崩潢電 流Izm=16mA,忽略稽納電阻,在正常穩壓狀態維持Vo=Vz=6V,則負載電
• 21.(5%) Y1, Y2, ... are independent and identically distributed random variables； the moment generat
• 13.如下圖所示LED的驅動電路,使LED 發亮的電壓為2V,電流為 15mA·假設飽和電晶體之VCE(sat)電壓降可忽略 不計,試求RB、Rc的適當電阻值? (A)15kΩ,200Ω(B)15kΩ
• 14.如下圖所示所示之電路,已知 VEE=10V ,R1=10KΩ,R1=10KΩ , R2=40KΩ,RE=1.5KΩ , 試求VCE 值為(A)+8.7V (B)-8. 7V (C)+7.7V (
• 22. (5%) A newly married couple decides to continue having children until they have one of each sex.