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Mathematics Undergraduate

ベクトル解析の初歩です。 数学苦手過ぎて高校生レベルで躓いています。 例題1.2(2)ですが式を展開すると2枚目最後のように2(X1Y1+X2Y2)が残ってしまい1枚目教科書のように展開できません。 数学に2年ほど触れておらず本当にできなくなっているので誰か助けて下さい。お... Read More

となることが分かります。 なお, 等号が成立するのは, 3点2,y,zが同一直 例題1.2:(1) R° 上の2点A(12,3), B(1, -1)の間の距離 ABを求めなさ い。 (2) = (21, 2), 9 = (y, 32), 2 = (21, 22) e R° とするとき, d2(2, z) S de(m,y) + d2(y,2) ん が成り立つことを確認しなさい。 解:(1) AB=v(1+ 2)? + (-1-3)? =D v9 + 16 =5. (2) de(z, 9) = V(E1-1)+ (12 - y2)?であるから, 示すことは V(21 - 2)?+ (T2 -- 2)?V(21-)? + (22- y2)2+V(y1- )? + (2-22 です。1 - 1 = Xi, 22 - y2 = X2,yi - 21 = Yi, Y2 - 22 = Y2 とおいてみ ると, C1- 21 = - (21 - 1) + (1 - 21)=D Xi+ Yi 02 - 22 = (22 - y2) + (y2 - 22) = X2 + Y2 となりますから V(X) + Y)? +(X2 +Y)?VX+X}+VY?+Y を示せばよいことが分かります。 一般に, 実数 A,Bに対して0SASBで あるとき, A°< B° なら ASBが成り立ちますから, 2 2 (Vx+ X3+ \?+) - (V(X)+Y) + (Xa+ Ya)}) 20 を示せばよいことになります。 平方根の中身はすべて0以上ですから, 上の 不等式の左辺を展開すると = 2V(X?+X3)(Y? ++Y})20 となることが分かります。 なお、 等号が成立するのは, 3点c,y,2" 線上にあるときであることも分かります。

Unresolved Answers: 1
TOEIC・English Undergraduate

解答をお願いします。

rom the information we obtained, we believe First Bank and Union Bank will (D) Judgment most Iikely merge to form the biggest bank in the country. (B) Judge (A) Judging (C) Judged Tou should bring your own laptop computer, since all the computers in the office out of order. (D) being (A) is (B) are (C) been to Rome to start her own business. (D) movement 13. Janet spent 10 years in Paris before (A) move (B) moves (C) moving the spreadsheet software. (C) are updated 14.I received an e-mail from SmartSoft and (A) updating (B) update (D) updated tA 15. Mr. Carlton is seeking a position as a bond analyst on Wall Street. (C) challenged (A) challenge (B) challenging (D) to challenge 16. in 1909, the Nara Hotel has been popular with celebrities from around the world (A) Establishes (B) Establishing (C) Established (D) Having establishe 17. Before you apply for the position, you need to have the application form supervisor. (A) signed .by your (B) sign (C) been signed (D) are signing A 18. Please to the attached file when you prepare the documents for the presentation. (A) refers (B) refer (C) referred (D) referringnie 19. her extensive knowledge of computer programming, Ms. Harris is the top candidate for the position. (A) Give (B) Giving (C) Having given 20. Mr. Peterson, the department manager, insisted that all employees (D) Given time. their work on (A) finish (B) has finished (C) finishingbnoo (D) finished

Resolved Answers: 1
TOEIC・English Undergraduate

70の問題の回答がなぜDになるのかが分かりません。 因みにTOEICのリスニング問題のPart3です。

68. Who is the man? M It's such a pleasure to finally meet you, Olivia. As coordinator of this year's international trade conference, thank you for Transportation modes and how they can affect your supply chain"(B) An event coordinator accepting our invitation to lead one of our sessions. Saturday, November 19 10:00 am - 12:00 pm (A) An expert in international trade Sponsored by Dupree Logistics - Drew Flint, Senior Partner (C) A trade representative (D) An owner of an agency Room 101 W The pleasure is mine, Ruben. Our agency is always happy to have representatives 12:00 Noon - 1:15 pm 69. What has the woman agreed to do? (A) Lead a conference session (B) Conduct an interview (C) Schedule an appointment (D) Accept a new position Lunch participate in your conference. Witon Hotel - Wolfgang Puck's Spoon M As requested by your assistant, Jamie, your session has been scheduled for the afternoon of November 19. Ilf you check the schedule, you will see the title of your presentation listed in the last time slot on that day. 1:30 am - 3:00 pm 「Asia: A strategic approach to effectively developing and executing your Asian marketing plan" Sponsored by Blackbox Associates - Olivia Ingersol, Chief 70. Look at the graphic, Who does the woman Operating Officer Room 102 work for? 3:15 pm - 4:00 pm Closing Ceremony Wisconsin Center Ballroom (A) DuPree Logistics (B) The Witon Hotel (C) Wolfgang Puck's Spoon (D) Blackbox Assodiates W Thank you very much, and I'l see you at the conference.

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