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• (8) (8%) Let . Show that rank(AB) ≤ rank(A).
• 貳、譜例一【題組】一、譜例一由大調開始,結束於d小調。請依提示調性,寫出第1至第15欄之和弦級數,並說明轉調方式.
• 【題組】3.請推導出效用極大下家戶t期的消費函数,公需求與資本求
• 【題組】(b) G ' (0)
• 5. The Gamma Function Γ(n)  is defined by FindΓ(1),Γ(2)andΓ(3) .
• 7 如圖所示，將兩個電阻相串聯，其電導值分別為 1/5 姆歐及 1/2 姆歐，則 a, b 兩端點之電導值約為多少姆歐？ (A) 0.14 (B) 0.2 (C) 0.5 (D) 0.75
• 12 常態母群體之期望值為 10，變異數為 441。從這個母群體中隨機抽出 49 個樣本， 為樣本平均數。請問 = ？ (A) 0.1587 (B) 0.8185 (C) 0.3847 (D) 0.7
• 【題組】(b) And by what experiments can one measure them? (5pts).
• 2. Electret filters are key components in medical face masks that exhibit enhanced ability to captur
• 【題組】(b) What is the energy of a PM2.5 a distance h=lcm (h<
• 【題組】(c) What is the force exerted on the PM2.5 by the mask. (5pts).
• 【題組】(d) Is the design appropriate and reasonable? If not, give your reasons and solutions? (Hint: yo
• 3. A long straight conducting wire has a circular cross-section of radius R and carries a current I.
• 6. Find the local maximum and minimum values and saddle point(s) of thefunction. f ( x , y ) = x y (
• 7. Find the absolute maximum and minimum values of f on the set D. f ( x, y) = x 2 + y 2 + x 2 y + 4
• 8. Use Lagrange multipliers to find the maximum and minimum values of thefunction subject to the giv
• Part B 4. (15%) The intrinsic impedance of an unknown material at 200 MHz is found to be approximate
• 9. Evaluate the iterated integral.
• 8 某電阻的四環式色碼為黃綠橙銀，則其電阻值及可能的範圍為下列何者？(A) 4.5 kΩ ± 45 Ω (B) 450 kΩ ± 4.5 kΩ (C) 45 kΩ ± 4.5 kΩ (D) 45 kΩ
• 9 如圖所示之電阻電路，等效電阻 為多少歐姆？  (A)2 (B)4 (C)6 (D)8
• 【題組】二、譜例有幾個樂句?這些樂句的終止式分別為何?
• ■The table below displays twenty actual observations of a binary variable Y and the predictedprobabi
• 10. Evaluate the double integral: ； R is bounded by
• 2.下列何者非爵士薩克斯風手:(A)Omett Colema(B)Sony Rollins(C)Wayne Shorter(D) Tootie Heath (E) Dexter Gordon
• 3.下列何者非爵士鼓手:(A)JoJones(B)Hank Mobley(C) Art Blakey(D) Tony Williams(E) Jimmy Cobb