11番(a)で質問です 1:なぜMissの方法でやったはいけないのか 2:二重下線部はどこから来たのか よろしくお願いします！

(11) 波長入,振動数子の正弦波があり,t=0での波形は図のようになっている。 矢印は波の進む向きを示している。これらの波の式を求めよ。 (a) y A AA x a マン 2 0 > x 入 り

(2)の問題についてなのですが、 kという数字はどこからでてきたのですか？

計> (1) まず,与えられた式をzについて解く。 倍角·半角の公式を利用。 方程式(z+1)+(2-1)'30 を解け。 =itan と表されることを示せ。 2) となるも 基本 15 ( の (1). (2) の問題 (1) は (2) のヒント (z+1)"+(z-1/=0は(+2- $14,16 1+z は1の7乗根として求められる。 1-2 1と変 形できるから、 =yを極形 1章 **ャ 。 次不定方 解答 1十る- =COs0+isin0をzについて解くと 1+z D 1-2 -uとおくと 1-2 (cos 0-1)+isin0 (cos0+1)+isin0 1+z=w(1-2) よって(w+1)z=1w-1 ス= 0-1 2= 0+1 0 (cos 0-1)+isin0=-2sin? 2 0 -CoS 2 wキー1から +i-2sin- 定理 ここで 2 1-cos0 0 Asin'- 2 0 COS 2 g) 2 no =2isin +isin- 0 cos 2 1+cos0 2 (cos 0+1)+isin0=2cos" +i-2sin cos。 0 0 sin0=2sin cos 2 0 =2cos 0 +isin 0 -1=?にも注意。 COS 0 isin 1+z キー1から 0 2 =itan 0 COS 2 1-2 cos0+isin0キー1 よって 0キェ十+2kx したがって ス= 2 -in(α+8) ) (2+1)?+(z-1)"=0から ゆえに+号 キー+k元 2 2 1+z (kは整数) =1 2=1は解ではないから 1- 2を元 6) (1の7乗根。 1+z =COS 2kx (k=0, 1, ゆえに +isin 7 1-2 7 (1)の結果を利用。 (k=0, 1, …, 6) 7 kr 3 で, ac が よって,(1) から ス=itan cはbの *2 ー元, tan(xー0)=-tan0であるから ャー 3 T=π 7 7 2=0, ±itan, ±itan x, 土itanテェ 6 -πーπー は自然数とする。 f(z)=2nCiz+an Caz+ +n Can-」2n-1 とするとき, (k=0, 1, 映習(1) n を自然数とするとき, (1+z)", (1-2)"をそれぞれ展開せよ。 19 (2) n-1)と表されること kT 2n n 方程式S(z)=0 の解はz=±itan 神戸大) 3 ドモアブルの定理

この積分の問題教えてください！ ゴリゴリ計算するしかないですか？

*π * 406 定積分(1-asinx-bsin2x)'dx を最小にする定数a, bの値を求めよ。 3olx eO6 nle AOA 10)

全部お願いします。すいません

【必答問題) Y5. Y6 は全員全問解答せよ。 Y5 関数 f() ==sin'0+asin@cos@+bcos'8 があり、 号)-3, )=1 を満たして いる。ただし、a, biは定数とする。 (1) a, bの値を求めよ。 (2) f() を sin28. cos29 を用いて表せ。また、 f(8)をrsin (28+a)+pの形で表せ。 ただし、r, a, pはすべて定数で、r>0, 0Sa<2 とする。 (3) たを定数とする。日の方程式 f(@)=k が s@s==の範囲にただ1つの解をもつ とき、とのとり得る値の範囲を求めよ。 (配点 50)

1から9までを埋めなければならないのですが、質問の意味もよくわからず…。どなたか質問の意味と解き方を教えて頂けると助かります…！

Vocabulary skills: Collocations Read the text. Then find verbs that collocate with the words and phrases below. Write the infinitive of each verb. KEY VOCABULARY SKILLS STUDY SHEET 7, PAGE 164 The Duke of Edinburgh’'s Award The Duke of Edinburgh's Award (known as the DofE) began in the U.K. in 1956. It gives young people from all backgrounds an opportunity to experience challenge and adventure, acquire new skills, and make new friends. Each year, participants between the ages of 14 and 24 complete many hours of voluntary community work. There are three levels: Bronze, Silver, and Gold. Each one requires increasing commitment, so you can choose which level is best for you. There are four sections at Bronze and Silver level, and five at Gold. These sections combine practical, cultural, and adventurous activities. Achieving a Duke of Edinburgh's Award helps young people to develop a sense of responsibility, and promotes values of persistence, commitment, and enterprise. It has a lasting impact on young people's behavior, skils, and life chances. In 1988, the DofE was expanded to become international. These days, over 635,000 participants around the world are achieving a DofE at any one time. Since the DofE began, Over six million young people in over 123 countries have taken part, and it continues to grow in popularity. 1 an appointment / small talk / progress success / your goals / independence dark / older / crops 2 4 a course / a form / an exercise someone a chance / a talk / feedback 5 awareness / growth / competition a qualification / knowledge / a reputation for something a problem / dificulty / something at first hand a friendship / a taste for something / an idea 6 7 8 9 Predicting Look at the title of the information sheet you’re going to read. Discus with a partner what. think you'll read about. Gnbal Youth Service Day

283番の解説をお願いします

arors alons-y e premiers'appe- Tait Schulz, ensemble. As-tu un enfant? va 2ONCE CENDRILしON Je: Se cople puis long- Iétait une fois un hómme riche dont la femme Le cercueide verre av tci fo un avoir n 61 ISer |de 282. AABC において, 次の問いに答えよ。 (1) aを A, B, cで表せ。 c'sin AsinB 2sin(A+B) となることを示せ。 (2) △ABC の面積をSとするとき, S= No. *283. AB=2, BC=3, CD=1, ZB=60° の四角形 ABCD が円Oに内接していると Date き,次のものを求めよ。 (1) 対角線 AC の長さ (3) 辺DA の長さ (2). 円Oの面積 (4) 四角形 ABCD の面積 26 例題48 半径1の円に内接する正十二角形について, 次のものを求めよ。 周の長さ 発展(1) (2) 面積S 考え方 正十二角形を12個の合同な二等辺三角形に分けて考える。 (1) 円の中心を 0, 正十二角形の隣接する頂点を A, Bとすると, ZAOB=360°-12=30° △OAB において,余弦定理より, AB=12+1°-2·1·1.cos 30° 解 B Q.6 30° 0 268 /3 =1+1-2·1·1·Y =2-V3 2 AB>0 より, O 4-23 V2 V6-(2 4-2/3 AB=/2-/3 2 してこ (3+1)-2/3×1 ミこで 3-1 2 V2 2 よって、周の長さは、16-2x12=6/6 -6/2 -×12=6/6-62 2 したP (2) S=△OAB×12=- …1·1·sin30°×12=3 2721 284.半径rの円に内接する正n角形と外接する正n角形がある。次のものをr, n を用いて表せ。ただし,n23 とする。 (1) 円に内接する正n角形の面積 S」 (2) 円に外接する正n角形の面積 S2 08S C BU C →例題48 2 第3章

In the new global economy brands represent a huge portion of the value of a company and, increasingly,its biggest source of profits. 上記の... Read More

この2つの問題なのですが、両方、同じとこで理解が出来ません😓 どういった基準で＞0、＜0になるのか教えてほしいです🙇‍♀️ また問題に書かれてはいるもののどうやって見比べればいいのかが分かりません💦 明日と言うのもあって至急お願いしたいです😰

6 Date 数I(教科書) 4 例段回 く x <下, 0< 1B< で sin a - Cos/8.高の知こえ のイ位 T R138 5 (1) Sin(x+B) - sin x Cos B + cos X Sin B O 0 Cos Xを求める ! Sin' x T Cos-x > { ry t Cosx , 1 Cos' X = 5 <x<下rツ cosX < 0 m 1「ツ cosX : ② sin B t める! Sin* (3 t Cos B : デinB + -1 144 169 169 sinB e-bty sine20~回 四 分 より sin B- 5 /2 13 16 65 20 36 (一番) 35 (2)COs (x- 4) - CosX cosB+ sin asin 13 4 X 12 3 X 13 す (3 33 15 35 48 t 65 65

見辛かったらすみませんが、問2の英作文の添削をしていただきたいです🤲

2015年度 英語 13 They should not have to lose their livelihoods. Secondlv. although I agree 次の英文は、英語のディベートの授業での対話です。この対話を読み,下の問い に答えなさい。 with Keiko that climate change is a serious problem, I think air travel is a much less damaging source of carbon pollution than, for example, burnimg MR. ROBERTS: Good morning, everybody. Today we have the first of our Coal. We should address these more serious causes first. Finally, the most student debates. The topic this morning is air travel, and the argument is. 法 important reason is the issue of freedom. People in a democracy expect the “Domestic air travel in Japan should be discouraged." Keiko will first argue right to travel as they wish. It has made our lives more convenient and in favor of the proposal and Junko will speak against. Over to you, Keiko. created more opportunities for everyone. We should not reduce our quality of life. Thank you for listening. KEIKO: Good morning, everybody. I am going to speak today in favor of the proposal. Limitless air travel inside Japan is a luxury that we can no longer MR. ROBERTS: Thank you to our two speakers. Now, are there any afford. The main reason is that it is extremely damaging to the questions from the audience? environment. The carbon gases produced by aircraft are very high and are a 頭人 proven cause of global warming. Therefore, we should try and reduce air 問1 次の(1)~(5)の文について, 本文の内容と一致するものには○.一致しないも travel as much as possible to protect the environment, not only for Japan but のには×を,それぞれ解答欄に記入しなさい。 also for the whole world. Secondly, air travel is actually unnecessary within the four islands of Japan. Now, while I appreciate that travel to Okinawa is (1) Keiko's main reason for opposing domestic air travel is the damage it a different case, there are efficient train services throughout Japan that are causes to the environment. h fast and environmentally friendly. These make an excellent alternative to air (2) Keiko thinks that air travel is cheap and efficient. flights, so there is really no need to use airplanes in most cases. Finally, (3) Keiko recommends that people travel between Okinawa and mainland there is an economic reason. Air travel is expensive for passengers because Japan by ship. the price of fuel keeps increasing, but airline companies are still struggling (4) Junko thinks that climate change is not an important problem. to make profits. Moreover, regional airports often cannot attract enough (5) Junko thinks that a lot of jobs will be lost if air travel is reduced. customers, and, overall, the industry is not cost-effective, It's time to admit that air travel is too damaging and expensive to be sustainable. Thank you. 問2 次の質問に英語で答えなさい。 Which of the two speakers do you more agree with? Give at least one JUNKO: Thank you, Keiko. I am going to disagree with the proposal for three reason for your answer. (解答欄:13.8cm×4行) reasons. Firstly, I think there is a strong economic case to support flying. Many jobs depend on air travel, not just the pilots and cabin staff, but also people who work in airports or for airlines, or who rely on fast transport.

見辛かったらすみませんが、問2の英作文の添削をしていただきたいです🤲

2015年度 英語 13 They should not have to lose their livelihoods. Secondlv. although I agree 次の英文は、英語のディベートの授業での対話です。この対話を読み,下の問い に答えなさい。 with Keiko that climate change is a serious problem, I think air travel is a much less damaging source of carbon pollution than, for example, burnimg MR. ROBERTS: Good morning, everybody. Today we have the first of our Coal. We should address these more serious causes first. Finally, the most student debates. The topic this morning is air travel, and the argument is. 法 important reason is the issue of freedom. People in a democracy expect the “Domestic air travel in Japan should be discouraged." Keiko will first argue right to travel as they wish. It has made our lives more convenient and in favor of the proposal and Junko will speak against. Over to you, Keiko. created more opportunities for everyone. We should not reduce our quality of life. Thank you for listening. KEIKO: Good morning, everybody. I am going to speak today in favor of the proposal. Limitless air travel inside Japan is a luxury that we can no longer MR. ROBERTS: Thank you to our two speakers. Now, are there any afford. The main reason is that it is extremely damaging to the questions from the audience? environment. The carbon gases produced by aircraft are very high and are a 頭人 proven cause of global warming. Therefore, we should try and reduce air 問1 次の(1)~(5)の文について, 本文の内容と一致するものには○.一致しないも travel as much as possible to protect the environment, not only for Japan but のには×を,それぞれ解答欄に記入しなさい。 also for the whole world. Secondly, air travel is actually unnecessary within the four islands of Japan. Now, while I appreciate that travel to Okinawa is (1) Keiko's main reason for opposing domestic air travel is the damage it a different case, there are efficient train services throughout Japan that are causes to the environment. h fast and environmentally friendly. These make an excellent alternative to air (2) Keiko thinks that air travel is cheap and efficient. flights, so there is really no need to use airplanes in most cases. Finally, (3) Keiko recommends that people travel between Okinawa and mainland there is an economic reason. Air travel is expensive for passengers because Japan by ship. the price of fuel keeps increasing, but airline companies are still struggling (4) Junko thinks that climate change is not an important problem. to make profits. Moreover, regional airports often cannot attract enough (5) Junko thinks that a lot of jobs will be lost if air travel is reduced. customers, and, overall, the industry is not cost-effective, It's time to admit that air travel is too damaging and expensive to be sustainable. Thank you. 問2 次の質問に英語で答えなさい。 Which of the two speakers do you more agree with? Give at least one JUNKO: Thank you, Keiko. I am going to disagree with the proposal for three reason for your answer. (解答欄:13.8cm×4行) reasons. Firstly, I think there is a strong economic case to support flying. Many jobs depend on air travel, not just the pilots and cabin staff, but also people who work in airports or for airlines, or who rely on fast transport.