問一はどう並び替えたら良いでしょうか？

C 次の問1~3の英文が自然な文になるように,( )内の語(句)を並べかえて、英 文を完成せよ。 問1 All (back / buildings / date / see / the / to / you) the 18th century.

(2)赤い線が書いてある所から途中式をお願いしたいです。分からないです。

180 3 基本 例題 103 次の極限を求めよ。 (1) lim よって 3+7+11+ +(4n−1) +(2n+1) - 3+5+7+...... lim (log.(12+22+ +n²)-log3 n³} 指針 (1) このままでは極限を求めにくいから、 分母・分子をそれぞれの式でまとめる その際、立の公式 (数学B)を利用。 £k= n(n+1) A=1 2²=n(n+1)(2n+1) = {{{n(n+1)}² 解答 (Z) (1) 3+7+11+...+(4n-1)=(4k-1)=4- n(n+1) n 21=n (2) , loga M-loga N=loga (a>0, a‡1, M>0, N>0), 5 limlogaf (n) の形に直す。 そして, f(n) の極限を調べてみる。 (5)=lim 12400 A=1 11-0 M 21=n 3+5+7+...+(2+1)=(2k+1)=2+ n(n+1)+nk=n(n+1) =n(2n+1) =2• =n(n+2) or n(n+1)(2n+1) 61³ n (2n+1) 2n+1 =lim n(n+2) n-∞ n+2 =2 (5x)=lim{1og=_=_n(n+1)(2n+1) −logan n 1 n 2 (tary layouts 8th Bo 3 =lim log3 - lim logs (1+1)(2+1)=logs -1 =lim 1218 2+ k= n(n+1) 1+- k=1 ◆分母・分子をnで割る。 2k²= n(n+1)(2+) loga M-loga N=1og= 1 n+1 2n+1 6 11

下線部の計算がよくわからないんですけどどういうことですか？

の 指針 (1) αti= (2) α+iの絶対値に注目すること 解答 (1) a=cos- (3) 39 で表すことは難しい。 そこで, α=cos 基本6 1+(1/2+1); であるが,これをか.20 基本例題6と同じようにして極形式 π π i=cos Atisinn +isin 2 練習 (2) a+i= π arti= (cos ++cos)+ (sina+sin / 絶対値はどもに1である。 →積の公式を利用するとうまくいく。 ここで, 三角関数の和 sinA+sinB=2sin A+B COS cos A+cos B=2 cos- 2 (2) α+iは極形式,a+biの形の2通りに表される。その絶対値を等しいとおく。 a+i=(cos+isin π satisinicostisin / から 17)+(cos+isin) =(cos+cos 7)+i(sin+sin) 3 =2coscos 8 a+i=2 cos A-B A+B 2 1 π π cos + cos=2 cos(+7))}cos ( 12 ( = − 4 )} COS 2 2 π 8 COS COS COS π 8 sinosin=2sin{1/(1/4)} cos {1/(-4)} // π -2.sing rcos o であるから 8 8 COS + (cosmo/2rtisin/13) 8 8 π 8 8 π 2cos /> 0 から, ① がα+iの極形式で偏角は ...... ① 9 √2 |a+i|=- √ 12+(1+√2)^=√2+√2 √√2 (1) から |α+i| =2cos π 8 YA 1 √2 -(1+i)+i=- {1+(1+√2)}であるから /2 = α π 04 2π 1 √2 COS πの値を求めよ。 注目すると x (1) a=212 (√3+i) とするとき,α-1 を極形式で表せ。 5 (2) (1) の結果を利用して, cos/1/270 1 O 別解 図で考える。 y₁ O cos 01 01 cosit 1 √2 0₁ 1 A-B 2 n 2014 求める偏角は (11) π よって 2cos- √2+√2 から cos- gati. \+i 1 π 4 √2 から a 18 -= x K/000/00 = 章2 複素数の極形式と乗法・除法 π 4 +0.1-28 -+0₁= 3 極形式 r(cos Otisine) では, > 0 となる必要がある。 このことを確認している。 R 8th √2+√2 2 or Op.28 EX10

この全文訳の中の「密接に関連して」というのは英文でいうとどこに当たるのかが分からないので教えてください。

57 演習 57 (問題→本冊: p.184) Side by side with the political revolutions that swept Europe at the end of the 18th century, there occurred an Industrial Revolution which was to transform the lives of everyone in the Western world. Honginbossore to yi partines 【全文訳】 18 世紀末にヨーロッパを席巻した政治革命と密接に関連して、 欧米世界の すべての人の生活を変えることとなる産業革命が起こった。

解説見ても全然わからないです(>_<) 詳しい解き方を教えてください🙇‍♀️

問 5. nは自然数とする。 1からnまでの自然数で, n と互いに素であるものの個数をf(n) と (ナ) (-=-) (ヌ) 組あり、そのうち最も大きいのは (ネ) すると, f (85)= の組は全部で である。 また f (pg) = 120 となる2つの素数p,q (p <q) (ノ) である。

分かりません！！！ 助けてください！！ お願いします！！！ 英語です！！ 2枚目、3枚目は問題文です！！

weive 4 Use every word once to fill in the blanks. Give the correct forms. ebrow (The English Language-Where Did It Come From?) Ino I become begin borrow build call go invade remain stop use Julius Caesar (1. ) the island with his Roman army in 55 B.C. and named it Britain, but soon they (2. ) back to the Continent. In 43 A.D. the Romans invaded Britain again. They (3. ) strong towns and wonderful roads. During the 5th century the Romans left and the Angles and the Saxons invaded Britain and (4.) it Angle- land, or England. The people of Britain (5. ) to speak English. Then the Danes ) by King and the Vikings invaded the island from the north. The advance was (6. Alfred in 871, but the Danes (7. ) in the east and left many of their own words. ) Christians, so English (9.) Meanwhile, the Angles and the Saxons had (8. ) in the church. many words from Latin, which was widely (10. 7678 100 W mil nedW 4) 1) (9) 7) 5) 8) 6) 2) 3) 10)

この文の緑のマーカー引いてるところの、訳と構造を教えて欲しいです！特にcrimes for which のところがなぜそうなるかわからないです

and have 2 R not Advances in technology/over the past 200 years have been remarkable ght us many benefits/However, the integration of technology Into society has always been smooth/ The first industrial revolution began in Britain in the late 18th century/Machines developed at the time/could make clothes much more efficiently (1) 14 easily and cheaply than before. Even so not everyone felt happy about this at first. Groups of skilled weavers and textile machine operators known as Luddites feared 労働運動 that their jobs would be taken away/They began/a labor movem ement in order to protest and resist the widespread use of the new technology by factory owners. Their protest actions included destroying machines crimes for which some Luddites were killed by authorities. ようたい CO ↑ To Cut 27. 減速する we now know these technological advances did not/slow down. Over time, they became widely accepted and appreciated. Before long, other innovations like the steam engine were powering heavy machinery across Europe and beyond. The second industrial revolution, toward the end of the 1800s, brought the gasoline engine and the s use of electricity. The third industrial revolution, in the late 20th century, produced computers as well as digital technologies and communications. And, recently, experts have declared that developments in artificial intelligence (AI) and advanced robotics have led us into the fourth industrial revolution. Even today, however, we hear warnings about the potentially harmful effects of (2) contemporary technologies. Some observers claim that the latest AI inventions could have negative impacts on workers, businesses, and society as a whole. The main concern, as in past eras, is that machines will replace humans in the workplace. Thes- observers suggest that a large number of occupations might be lost to AI and robot in the next few years. Taxi and truck drivers, cleaners, and factory workers are amon those considered to be at risk. The fear is even expressed that the AI revolution might lead to mass unemploymen According to some experts, up to 800 million jobs could be lost globally by 203 Moreover, the workers who will lose their jobs to machines are likely to be those wit ewer skills and less education, increasing the gap between rich and poor. Some peop believe that this will create social conflict and instability. do not necessarily need to take such a negative outl

必ずベストアンサーつけます✨ 英語のスピーチです。 夏休みをテーマにしたものです。 添削＆英訳お願いしたいです🙏🏻💭 ↑分からない箇所が少しあります💦 ①私はバドミントン部に所属しています。 (I belong to the badminton club) ②夏休みに... 続きを読む

高一の英語です。 赤丸が付いている問題が分かりません。どなたか教えて下さい🙇‍♀️

04 1( 05) She ( 06 We ( 111( ) in Osaka when I was a child. So, the Kansai dialect sounds familiar to me. Dam living 2lived 3have lived had been living ) for London last night. I miss her very much. Dleft 2was leaving 3has left had left ) a charity event on July 18th. Great! I'm sure I'll come. Dam Dam going to be ) seventeen next month. 16 I'll pick you up unless it ( 17) "I ( will be ) around the earth. Dis going was gong 3goes 12 We learned the moon ( Bands 13 When I ( ), I will bring you some souvenirs. Dreturn will return 3am going to return @had returned Dhad you done 2did you do 3were you doing are you doing ra Dsnows will snow 3snowed is going to snow have been had gone ) him since last Friday." "I heard he's been sick." Ddon't see 2am not seeing 3haven't seen hadn't seen

問題を解いたのですが答えがないので合っているか分かりません！教えてください🙏

テーマ |文法項目 商取引 受動態 (第4文型の受動態/群動詞の受動態 UNIT 4 Reading Track 18-19 貨幣はどこから生まれ、私たちの生活の中でどんな役割を果たしているのでしょうか。 Do you know what money is? It can be anything that enough people can agree on as a means of exchange. For example, rice can be money if many of the people in your town are willing to accept it as money. But when you are given rice by your 5 *employer and try to use it as money in other towns, you may get in trouble. Before money was invented, A. This way of exchanging *goods or services is called *barter. In a barter, one person must have something to exchange that the other wants. Many thousand years ago, B Later, it was cast into small, usually round, coins to make trading easier. The first coins were probably made in *Anatolia, or 10_ *Asia Minor, during the 7th century B.C. As the Greek and Roman civilizations began accepting coins as money, the rest of the world went along. C in the 13th century. The concept of paper money was not accepted by Western countries until the early 18th century. The early paper money issued in the West was not successful. Their paper money was easily destroyed because of its poor 15 quality. So, merchants would not accept it. Only in the 20th century did it finally stand on its own. Note Today, as new technologies have changed our lives, many transactions are carried out on the Internet. In such trading, e-money or electronic money is used. E-money is the money that exists only in banking computer systems and has no 20 physical form. Once it's stored on your devices, you can pay at restaurants and stores. Before long, people may carry ( @ ) paper money ( 6 ) coins. (294 words) * employer 雇い主 goods. serviceサービス barter Anatolia アナトリア 〔トルコ共和国のアジア側の半島部 ] Asia Minor 小アジア 〔黒海, 地中海, エーゲ海に囲まれたアジア最西部の地域 ] Note transaction EX31 業務 取引などを相手 〈人〉 と 「行う」 「処理する」ことを意味す る transactの名詞形。 英語では 「商取引｣のことをcommercial transaction, またはbusiness transaction という。 JSSUHTU