全く分かりません。教えて頂きたいです

U(n) = {Ae M(n, C); A* . A= E} をn次ユニタリ群 (unitary group) という.ただし, A* はAの共役転置を表し, Eはn次単位行列を表す AEU(n) に対して,|A| = ei® (30e R) が成り立つことを示せ.さらに, U(n) は GL(n, C) の相対位相により,部分空間であり, U(n) は演算を 行列の積として,位相群になることを示せ。

TOEICの文法問題です。 解説のところの″述語動詞を修飾するのは副詞なので、″の意味がよく分かりません。 解説お願いしたいです。

14. Ms. Kelly was able to solve the issues with the new software after consulting Mr. Lee in the technical support department. (A) easily (B) easy (C) eased (D) ease の空 文 会る。 合 代中

英検準一級の英作文の添削をお願いします。理由が一つしか思いつかなかったので短いですが、ここだけ添削していただきたいです。見にくいところがあれば言ってください。

No. Date Topici Do you think that rich Countries should do more to help poor countries develop? I think that rich countrieshould do more to help poor Countries develop. I have two reasons to suport my opinion in terms of inequality and economic grouth Ficst, rich countries should help por Countries to be equal level. For evample, they teoch science Technalogy, donate and bild public faciliy such as a hospital and school. IH por Countries and t is important to decrease the nunber of gapof living level. 生活水準の差

画像の5-3について、答えに記載のa^2=9aという式がわかりません。 おそらく漸化式から導かれたものかと考えていますが、漸化式からどのような式変形を行うことで上式が得られるのでしょうか？

5. a, = 2, an+1 = 3Vam (n>1) によって数列{am} を定める. (1) 0< an<9を示せ。 A(3) lim an を求めよ。 (2) {an}は単調増加であることを示せ。 n→0

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Date No. Topic: These days more peple will do so in the' tuture? Some pegple buy things. on the Intermat.Do you think I think that motre people will buy things . on the Internet 1r T have two reasons to support my opinion in tenms of price |2 and technolgy 2 Fist, we can buy things on the Intermet that is cheaper than buying them at shops, Some Intemet shops' deliver fee 10 is free. It is goのd tor us to get a good deal of products. 14 Also, peaple can keep thair rmoney. 6 Second, peaple do nat have to go shopping. at shops. 1o f there are people who are buy to buy things what they wast, 15 they con buy them any winere using, their internet or smarphene 10 I think eldery pegple get products eaily. For these reasens, buying things on the Internet will be 15 more necesiory in the future (121uerds) ニ

この問題の解き方を教えて欲しいです、よろしくお願い致します🤲

* Part 1: A derivative computation using the chain rule Suppose F(x) is any function that is differentiable for all real numbers x. Evaluate the following derivative. d (F(x)) = dx Enter the derivative of F(x) as F'(x) using prime notation. Your answer should be in terms of F' and other functions of the variable x.

英検準一級の英作文の添削をお願いします。見にくいところがあれば言ってください。

Date No. Topic: Do you think thatJapan, is a good Countey tor peagple with' children to live 'in? I do not think that Japan is a god Coanty fr peaple with children to live in. I have two reasons to support my opinion in Terms of Cost and lacking of doy care. Fist parents need much money to raise their childien. For exomple, there are meal_Costs and school tuition. 食安 They high school's Cast are free in Japan, baut high school ondumivecity are higher then we expect. Elemertay sechol and jurice Cost a lot of maney Itis had fr pareats to pay. Seund, the number of bath parents wmerting is increase there doys. 天働き So they have no time for dey caren If parents use a kindergaden, they Could not ue it because many kindergardens Cannat acept. There is he adult to see children. For these reasns, it is not good for people with children to lie in Jopon. (142 wordr)

英検準一級の英作文の添削をして頂きたいです。見にくいところがあれば言ってください。よろしくお願いします。

Date No. Topic: Is the recent increase in the nigyber of penple changing jobs in Japan a pasitive development Y I de not think that the recent increase in the. number of people 15 (7 changingjobs in Japon is a pasitive develepnet, I have reasons to support my opinion in terms of effect on the economy and unenplymoant Fict if the number of peaple changing jobs increases, Some Companies will in Jopan. Eflect on the economy will larger than before. bankrupt. It would be a serious problem Second, it is dificult for them to change their jobs becouse theyshould remenber new job Companies do not have enough time to teach working and people changing jo would be tired to remember. I think companies Could not get s. adventagpe For these reasons, the number of people changing jobs in Japan is a negative develapmat. (123 words)

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Dat ici Agre or disagree Elderly pegle Should be taken core of by their rather than sent to nursing homes I agre with the idea that elderly pesple should be taken Cae of by their tailies rater fhen Seat to nursingg homes, I have Two reasons To suport may opinjon in Tecms of better core and financial burdon r on family. Fist, families con be berer core than nursing homes because they know abart elderly faily members mme. If nuring homes tale Care of elderly pople,they con not be the best support. L It is easy for families to take care of them. Secondi Senting to nursing hemes Cost mare. If eldery paple are taken core of by nursing home s, thair families have to pay charge. It is difficat to pay high fee. for these reasons, elderly people should be taken care of hot y neriag homes but by their foniliea

これって、lim［n→∞］sup (x∈R)｜n/(n＋x) -1｜を解けばいいんですか？ 区間が以下のときどうなるか分かりません。。 教えて下さい！

n 問題2.3 関数列 fn(x) が次の区間で一様収束するかどうか判定せよ。 n+x ニ (1)区間1<a<2 (2) 区間1<r<o