①赤いマーカーで引いてある部分（3箇所）の文構造 ②2枚目の写真の赤く囲んであるtoについて訳し方、用法等 ③2枚目の写真の、赤いアンダーラインが引いてあるin existanceの訳し方等 以上の３つを解説いただきたいです🙇たくさんすみません💦よろしくお願いします🙏

Note: This is not a word-for-word transcript. Neil Hello. This is 6 Minute English from BBC Learning English. I'm Neil. Beth And I'm Beth. Neil Shhh! Quiet please! I'm trying to read here, Beth! Beth Oh, excuse me! I didn't know this was a library. Neil Well, what exactly is a library? Have you ever thought about that? Beth Well, somewhere with lots of books I suppose, where you go to read or study. Neil A symbol of knowledge and learning, a place to keep warm in the winter, or somewhere to murder victims in a crime novel: libraries can be all of these things, and more. Beth In this programme, we'll be looking into the hidden life of the library, including one of the most famous, the Great Library of Alexandria, founded in ancient Egypt in around 285 BCE. And as usual, we'll be learning some useful new vocabulary, and doing it all in a whisper so as not to disturb anyone! Neil Glad to hear it! But before we get out our library cards, I have a question for you, Beth. Founded in 1973 in central London, the British Library is one of the largest libraries in the world, containing around 200 million books. But which of the following can be found on its shelves. Is it: a) the earliest known printing of the Bible? b) the first edition of The Times' newspaper from 1788? or, c) the original manuscripts of the Harry Potter books? Beth I'II guess it's the first edition of the famous British newspaper, 'The Times'. Neil OK, Beth, I'll reveal the answer at the end of the programme. Libraries mean different things to different people, so who better to ask than someone who has written the book on it, literally. Professor Andrew Pettegree is the author of a new book, 'A Fragile History of the Library'. Here he explains what a library means to him to BBC Radio 3 programme, Art & Ideas: Andrew Pettegree Well, in my view, a library is any collection of books which is deliberately put together by its owner or patron. So, in the 15th century a library can be 30 manuscripts painfully put together during the course of a lifetime, or it can be two shelves of paperbacks in your home. Beth Andrew defines a library as any collection of books someone has intentionally built up. This could be as simple as a few paperbacks, cheap books with a cover made of thick paper.

文中のasは何の役割をしているのでしょうか？？

a Web nd トラッカー リストバンド 要。 類義語 ) 三覚えてお チへの簡単 232 lam writing to apply for the position of Jaccounting manager, as advertised in the February 9 edition of Bright Career Magazine. apply [ǝplái] 動 応募する、申請する、 あてはまる、適用する、 塗る 名 application (応募書類、応募、申請) 関 applicant (応募者) apply for X (Xに応募する、Xを申請する) の形で最頻出の多義語 125 apply for a job (仕事に応募する) や apply for reimbursement (払い戻しを申請する)、 apply for a loan (融資を申請する) といった形でも出る。 名詞の application (応募 052)や関連 語の applicant (応募者268) も頻出。 accounting [akáuntin] 名 経理、会計 関 accountant (会計士)、audit (監査、会計検査)、 auditor (会計検査官、監査官 ) Jaccounting firm (会計事務所) や accounting report (会計報告書) の形でも出る。 advertise [ædvortàiz] 宣伝する 名 advertisement (広告、宣伝) 状況や kofX/ 関 advertising 広告(業)、宣伝(活動) 設問文でも頻出。 例 What is being advertised? (何が宣伝されていますか 名詞 advertisement (広告、宣伝) はパート7の文書タイプでも出る頻出語。 例 place/run an advertisement (広告を出す) adと略された形でも出る。 例 an ad campaign (広告キャンペーン) edition [idífan] 名 (本、雑誌、新聞等の) 版 関 edit (編集 編集する)、 editor (編集者)、 editorial (形編集の名 社説 類 version (版、バージョン) お 類義語の version (版、バージョン)も頻出。 例 an updated version of the software (ソフトの新バージョン) 関連語の editor 346 や editorial 246 も重要。 2月9日版のBright Career誌で宣伝されていた、経理マネージャーの職 に応募するため、お便りしています。

数学の行列について質問です 下の写真の問題の解き方がわかりません。教えていただけるとありがたいです。

23:37 Previous Problem Problem List Next Problem Consider a sequence (an) 20 defined by the following recurrence relation: n=0 21 ao = 1, a1 == -3, An+2 = 11an+1 18an (n ≥ 0). (1) Find a matrix A satisfying the following: A - [an+2] an+1 an+1 = An (2) Calculate the eigenvalues of the matrix A, where t1t2 (No partial credit). t₁ = = ったこ = (3) Find the eigenvectors of the matrix A. (i) The eigenvector with respect to the eigenvalue +1: V₁ = = t [ ], (ii) The eigenvector with respect to the eigenvalue t₂: v₂ = [ ]. (4) Diagonalize the matrix A, that is, calculate the following, where P = [v1_v2]. P-1 AP = (5) Calculate A" by using diagonalization. An 17

4番の問題がdriveかな？というぐらいはわかるんですが、それ以外の分の構成が難しくてわからないです。教えてください

D Grammar 3 Choose a, b or c. 1 Do you like to play soccer? 6 I don't a No, I'm not. b No, I don't. c Yes, I can. a like to 2 Can you play the guitar? play baseball at all. b like 7 How many languages c can speak? a Yes, I do. b Can't I? c Yes, I can. a can you b you do 3 Jenny swim. 8 Steve c are you to watch movies on DVD. a doesn't like to b likes not c doesn't like a likes b does c can 4 What sports do you play? a like b like to c likes 9 Shizuko a likes ski. b can c can to 5 Rashid a isn't b can sing, but he wants to learn. c can't 10 a Can b Do Daisy a good dancer? c Is This page is downloaded from www.macmillaneducationeverywhere.com Macmillan Publishers Limited 2017. This sheet may be photocopied and used within the class Breakthrough PLUS M O > C 14:07 日あ 2 Edition

treasure hunt3 文法メソッド4 の回答を持っている方送っていただきたいです

文法メソッド 4 子に学ぶ 助動詞・敬語 Bunba Prabod 書店

蛍光ペン引いてるところって、=だけじゃダメなんですか、？？

ra を 平 ・ 54 ■問題の考え方■ 本問も問題53と同様に,両辺を2乗しても 絶対値が残るから,それらも利用して考える。 [AAが成り立つことを利用する。 01-01,48., (|a|+|b| +|c|)²-la+b+cl2 =(|a|+|6|+|c|)²-(a+b+c)2 =a²+b²+c²+2|ab| +2|bc|+2lcal&F CO -(a²+b²+c²+2ab+2bc+2ca) e =20|ab| +|bc| +|cal-ab-bc-ca) =2(abl-ab)+2(|bcl-bc) +2(|cal-ca) (S) lablab, bcl ≧bc, ca≧ca であるから |20|ab|-ab)+2(|bcl-bc) +2(cal-ca)≧0 la +6 + cl?≦(|a| +|6|+|c|)2 |a| +16| +|c| ≧0であるから la +6 + cl≦lal + |6| + |c| したがって la +6 + cl≧0, [参考] 等号が成り立つのは, Jet ab≧0かつbc≧0かつ ca≧0, すなわち (a≧0かつb≧0かつc≧0) LA45 c≦0) かつb≧0かつ または (a≧0 のときである。 別解 一般に,次の不等式が成り立つ。 (++e) |x+y|≤|x|+|yl ...... ① ① において, x=a+b,y=c とおくと to 雪 edit EN

教えてほしいです。 お願いします。

B 各組の文がほぼ同じ意味になるように, 下線部に適語を入れなさい。 (1) Feeling very excited about the game, people shouted. very excited about the game, they shouted. (2) Turning around, Bob waved to me. around, (3) Being wounded in the leg, the dog could not run. the dog in the leg, it could not run. (4) Being written in French, this book is too difficult for me. this book in French, (5) Coming back to the room, the mother found her child sleeping. back to the room, (6) Not having *cash, I bought the coat with a credit card. did waved to me. (7) Knowing that she told a lie, I still cannot hate her. (8) Raising his hand, the boy stood up. * he stood up. The boy raised his hand, (9) Being treated unfairly, the woman didn't complain at all. unfairly, is too difficult for me. found her child sleeping. 現金 cash, I bought the coat with a credit card. that she told a lie, I still cannot hate her. didn't complain at all. (€

Cの問題はアンダーラインを引いて終わりで合ってますか？

About you Listening and writing A good idea? 1 A 4.30 Listen to Sophia and Alan discuss the inventions from the article on page 124. For each invention, who says it's a good idea? Check (✔) Sophia or Alan. Invention 1. virtual goggles 2. a space elevator 3. a smart mirror About B) 4.30 Listen again. Write one reason why Sophia or Alan thinks the invention is a good idea. Do you agree? Discuss with a partner. you C Read the article below and the Help note. Underline the words that list ideas. Home Edit Who says it's a good idea? Sophia apeAlan Document Elements Tables Table Layout Charts Why? Smart Art "Smart" Refrigerators Scientists predict that people will have "smart" refrigerators in the future. Scanners will read bar codes on food and... X I think this will make our lives better. First, you won't need to go grocery shopping anymore, so.. Second, you'll never come home and find an empty refrigerator.. Next, scanners will tell you if the food is bad, so you won't get sick... Finally, you'll be able to ... Help note Listing ideas First, you won't need to ... Second, you'll never... Next, scanners will... Finally, you'll be able to ... D Write a short article about a future invention. Will it make life better or worse? Why? Give four reasons. Free talk p. 135

143. この問題のようにθの範囲が書いていない問題は 0≦θ<2πと考えればいいのですか？？ 解答があまりどういうことなのかピンとこなかったので自分が学んだ方法で解こうとしたのですが、この方法（写真2枚目）でも解けますか？ 解ける場合どう解くか教えてほしいです。

224 重要 例題 143 三角方程式の解の存在条件 10 の方程式 sin20+acos0-2a-1=0 を満たす0があるような定 ure 囲を求めよ。 指針▷ まず, 1種類の三角関数で表す (1-x2)+ax-2a-1=0 すなわち x2-ax+2a=0 ...... 解答 cos0=x とおくと, -1≦x≦1であり, 方程式は (1-x2)+ax-2a-1=0 すなわち x-ax+2a=0... ① この左辺をf(x) とすると, 求める条件は, 方程式f(x)=0が -1≦x≦1の範囲に少なくとも1つの解をもつことである。 これは, 放物線y=f(x)とx軸の共有点について,次の [1] ま たは [2] または [3] が成り立つことと同じである。 口 [1] 放物線 y=f(x) が-1<x<1の範囲で, x軸と異なる2 点で交わる, または接する。 よって、求める条件は、 2次方程式 ① が-1≦x≦1の範囲に少なくとも1つの解をもっ ことと同じである。 次の CHART に従って、考えてみよう。 2次方程式の解と数々の大小グラフ利用 D, 軸,f(k) に着目! 1 このための条件は、 ①の判別式をDとすると D≧0 D=(-α)²-4・2a=α(a-8) であるから a(a-8) ≥0 (2 よって a≦0,8≦a a 軸x=1/28 について-1<<1から 2<a<2 ...... a>. IKACION cos0=xとおくと, -1≦x≦1 で, 与式は f(-1)=1+3a > 0 から f(1)=1+a>0 から ②~⑤の共通範囲を求めて <a≦0 ① [2] 放物線 y=f(x) が-1<x<1の範囲で,x軸とただ1点 ---- で交わり,他の1点は x<-1, 1<xの範囲にある。 このための条件は f(-1)ƒ(1) <0 1 3 a>-1 1 3 a=- (4) (5) ゆえに (3a+1)(a+1)<0よって-1<a<- a<- 1/13 1 またはa=-1 ① [3] 放物線 y=f(x)がx軸と x = -1 または x=1で交わる。 f(-1) = 0 またはf( 1 ) = 0 から [1], [2], [3] を合わせて -1≤a≤0 [参考] [2] と [3] をまとめて,f(-1)(1)≧0としてもよい。 3 [同志社大] ③3③ 練習 0 の方程式 2cos²0+2ksin0+k-5=0を満な ④143 を求め 検討〉 TAHO x2ax+2a=0 をαについ て整理すると x2=a(x-2) よって, 放物線 y=x2 と 直線 y=a(x-2)の共有点のx座 標が-1≦x≦1の範囲にあ る条件を考えてもよい。 解 編 p.139 を参照。 [1] \ YA + 11 D2 (794) [2] YA -1 Do 基本140 -1 YA -1 1 00 + X 大量 <D-[0] X

①～④の質問の答え方を教えてください！！

それぞれのCaseについて,次の質問に答えましょう。 Case 1 Edithe thout with my After the terrible shaking, did the man and his wife know where to go? 2 How did they get to the local shelter? Case 2 3 What happened to trains after the big earthquake? 4 Did the tourists find the latest information in English on the internet?