フーリエ級数展開の問題なのですが、計算過程で、緑の波線部が分かりません。式変形する上で、オレンジの四角で囲った値が消えてしまっている気がするのですが、どうなっているのでしょうか。宜しくお願いします。

問題1 次の関数を周期的に拡張した関数のフーリエ級数展開を求めよ。 f(x) = x²(=l< x <l) do = bn=0偶関数より 2 e L₁ x²dx = 2 [² x²dx = l I 0 an = S れた el l x² 9 4 fl • 41² x² l nπ n²π² 26² cos x sin l² nTu sin + cos nà ntcx e 41 ho nTux dx l 2 e Sin nTux l 2 htux e dx = 2 n=1 Je 0 td { [xcos ^^] ! - fl cos hux dx 41 e e h²/² dr 412 n'³ñ³ lo 41 n²T² 2x (-1)^ 4² ³7 l x³ [ a nπx x² cos ^x dx the one e 滴角関数の積分 t Sin nTu 0 nix do fux) = a + 2 (ancos had + bn sin met) e 2 h=1 Cos nTix e plx (05x) dx cos 21² 3 nix b 74 nux [Sin] = Sin - t n²πC² 0 dx P # 程の微分の逆 →部分積分 三角関数の微 (税 (→ 1 (-1)"

When Terry discovered that he had been abandoned, he let out an anger oath. この英文の訳し方がわかりません😭 どなたか教えて下さい！！

（2）と（5）の単語が何が入るかわからないです。 うまく訳ができません。

次の英文の 2911 (a) significant MAS (f) outlook )に当てはまる単語を (a) から (j) から選び、その単語の記号を入れましょう。 消極的 不完全 強調される (d) imperfect (c) negative Ak (h) attitude (e) emphasized # # ₂ 7 3/4 (i) remarkably 認する (b) refer 217 (56 (g) connected Blony sil (1) Communicative ability is (e) in 征服する (i) conquer 0 in second lar second language teaching theory. (2) She had to ( ) her bad habit of smoking heavily when she drank. (3) China has a long history (with Confucianism and Taoism. (4) The results of the experiment are not statistically ( A ). (5) I think it is not an ( ) that adults should have. (6) I am happy to know that this medicine is (effective. (7) What noun does this "it" () to? ---Actually, I don't know. (8) The () on nature differs from religion to religion. 根本的に (9) Language is fundamentally (2) in the Zen way of thinking. (10) In the Shinto way of thinking, we have to avoid using (C) words.

総合英語FACTBOOK English Grammar Advanced New Editionの第7章p25の問題の答え持っている方がいましたら教えて頂きたいです！よろしくお願いします。

PP.86. できごとが 37~88 未来の時点 058 > 参照)。 p.88 059 がずっ はあ い Exercise 7 →A 1 Change the verb to the appropriate form and complete the sentences. 1) When I (arrive) at school, the class (already start). My teacher was angry. ¹0 2) I (never see ) Kabuki until I became a college student. A NO TEN 3) The actor (be) an extra for 20 years before he became famous. Helsink Doy bedefimar O 4) Miki noticed that she (lose) the key somewhere. the concede lbovoilen od tamm DOY Sevorse J'nei yu 2 Change the verb to the appropriate form and complete the sentences. leum JAKO-O 1) It (stop) raining by this time tomorrow. 2) Brazil (win) the World Cup six times if it wins it again. Menur of SVBIl (3) She (be) a math teacher for 30 years by March next year.m alterow hat bedone. 4)She will email us when she (read) the report (｢読んだら」の意で lanks isla (0707 754300 penlo sitt bus no 3 Change the verb to the appropriate form and complete the sentences. →C 1) Kate (watch) TV since she came home from school. 2) yem 8 My father (work) for over 15 hours when he left the office. 3) She (travel ) abroad since last month. Sni smoo I ysM O つける 4) We (run) for 10 minutes before the teacher shouted, "Stop!" in nisqe of og ysm sW 25 VEAU CO 20 4 Choose the appropriate form of the verb and complete the sentences. → A B C 1) I (read/ have been reading / had been reading) the book for six hours until I realized it was dark outside. compl c513 VIBEE 2) I want to read your novel first after you (wrote / have written / will have written) it. VE met / will have met ) him before. 3) I suddenly remembered I (have met / had 4) He (tries / has tried / has been trying) to solve the problem since this morning. 5 Put the words in the correct order to complete the sentences. 1) [in/people/ already / long before / arrived / America / had ] Columbus came. 2) Yesterday I found the book [ had / for a long time / for / been / looking /I]. 3) [long/you/ French literature / studying / have / how / been ]?ow an ingin W 4) The news says that they [ for / stayed / space / have / in / a month / will ] tomorrow. Put it into English - Context writing - 1) 父が帰宅したとき 私はテレビを2時間見ていた。 llow idgim \ yam I 078 11m B II WOTTOmol nis: lliw (O naquad Hiw etnobis.A 2) 彼は雨の中を歩いて帰宅したと私に言った。 3) 彼がバス停に着いたときには,最終バスはすでに出発していた。 nato biwow beh yM 4) その夜以前に父が歩いて帰宅したことは一度もなかった。 basd 6 yoy ovig ILO MA 312) Imid ymise I X40).sgo f'ow toob aidT ABC 25

What have you been doing? は言えるのに、 What had you been doing? とは言えないのですか？

現在分詞と過去分詞の問題です。 あっているかどうか教えて頂きたいです🙇🏻‍♀️

現在分詞も過去分詞も名詞の前後から名詞を修飾する形容詞の働きをしますが、それ ぞれ現在分詞 (~している、~する) 過去分詞 (~された、~してしまった)という意 味で使い分けます。 1 次の文の( )内から適するほうを選びなさい。 Show me the letter (writing, written) in French. 472 24 This is a (surprising, surprised) story... We have to sweep up the (falling, fallen) leaves from the street 601-2⁰ every morning. フィルド 4. She brought the children a box (filling, filled) with candy. 5. The girl (having, had) lunch at that table is a famous singer. 123 る時」 ⑤ 譲歩 1. 2

下から三行目のchange dependingはなぜ間にカンマがついているのでしょうか？

reated 12234 th ultra-thin layers of transparent color. Her face appears to an almost magical quality. But probably the most magical, of all is her smile. Leonardo created this smile through ng unique shadow work. The Mona Lisa's famous smile 19NOM 9bus ppiness. The smile changes, depending on where the viewer s more impressive when looking at the portrait's eyes than th itself. olepnelerisiM 率る sidewavs 横向きに crafted 作

上から3行目まで､oneがありすぎて困ってます。それぞれがなんの意味・用法のoneなのか教えてください…日本語訳を見てもどれと対応してるのかいまいちです。

10 外国人同士 196 word 11 One advantage of living in Japan is that the other foreignen that one is acquainted with are more interesting for the most part than the people one meets in one's own country. Those who come here of their own accord and who live here by choice tend 5 to be different from ordinary people. If they had been ordinary people, they would never have come to Japan. Such people, in my 「 experience, are very interesting on the whole. aids ch ② They have come to Japan for various reasons, but, for whatever reason, they have chosen to live in Japan. Thave more friends 10 among the foreigners in Tokyo than I would have if I were in England. This sounds like an exaggeration, but I do not think that it is. In England I would have many friends, but I do not think I would have such close friends. My friends here include Americans, Englishmen and people from other countries. As far as I know, 15 these people are representative of their various societies. ⓒ The interest in Japan that we have in common brings us close to each other and plays an important role in forming understand- 18 ing and friendship between us. 10 Check!! 10 外国人同士 全訳 ① 日本に住むことの一つのメリットは, (日本で) 知り合いになる他 の外国人の方が、自分の国にいて出会う人々よりもたいていおもしろい ということである。 自発的に日本に来て、進んで日本に住む人たちは、 普通の人と違っている傾向がある。 もし彼らが普通の人であったなら、 決して日本に来ることはなかっただろう。 私の経験では,このような人 たちは概してとてもおもしろいのである。 ② 彼らはさまざまな理由で日本に来ているが、 理由はともかく日本に 住むことを選んだのである。 私がイギリスにいて持てるであろうよりも、 東京では外国人の間に多くの友人を持っている。 これは誇張に聞こえる だろうが、 私は誇張だとは思わない。 イギリスにいても多くの知り合い は持てるだろうが, これほど親しい友人が持てるとは思わない。 ここで の私の友人には, アメリカ人, イギリス人, そしてその他の多くの国の 人々が含まれている。 私の知る限りでは、これらの人々は彼らのそれぞ れの社会の典型的人物である。 ③私たちが日本に対して共通して持っている興味が、お互いを近くに 引き寄せ, 私たちの間に理解と友情を形作る上で重要な役割を果たすの である。 > Note. One advantage of living in Japan が文全体の主部で, that the other が補語となったSVCの文である。 one is acquainted with の that は関係代名詞で, the other 修飾している。 one の間に関係代名詞の whom が省略されている。

この文章の和訳を誰かしていただけないでしょうか😢 英語が苦手で、、、。よろしくお願いします！

19,20 Friday, Feb. 26, 2021 O French safety officials the 写真提供:ロイターアフ。 safety official 安全局合。 on Thursday gave green light to extend the lifetime of the FESSENHEI/ 35 eDF country's oldest nuclear power plants as it seeks to boost the share of renewable 再生可能エネ ルギー mix. renewables in its power の Nuclear energy currently provides nearly 70 10 French electricity, more than in OFrance, hoping to reduce that share to 50 percent by 2035 percent of any other country. obs91 910a8 ーa target pushed back from an earlier 2025 date the help of renewables, has been holding off from building with hold off 控える、見合わ せる new reactors. 15 The French nuclear safety authority(ASN) said the country's 32 plants with 900 megawatt capacity, built mostly in the 1980s, would be allowed to operate for another nuclear safety authority 原子力安全局 decade, taking their potential lifespan to 50 initially planned 40. 20 6 They will therefore not be decommissioned before the late years from the uohee) 活導大 2020s or even late 2030s, depending on their initial launch date. 6 The safety of French nuclear plants is checked every bse 01nla8 decade. s の ASN asked state-controlled electricity provider EDF, which EDF フランス電力 the country's nuclear plants, to undertake work to safeguard the stations' security. “The main target was to limit the consequences of accident, especially any serious accident involving the manages any necessary any meltdown of a reactor," ASN's deputy director-general Julien

多分高校レベルの英語ですがどなたか解いて頂けませんか？

5 Avoid Common Mistakes A 1. Use correct subject-verb agreement when forming the present perfect. have Young people has always gone to college with high expectations. 2. Use the present perfect (not the present perfect progressive) for a time period that starts in the past and is completed. finished He has been finishing two books since last week. 3. Remembertoinclude been for the present perfect progressive. been The definition of success has dhanging over the years. 4.Use the present perfect progressive (not the present progressive) for actions that began in the past and are still continuing. has been He is studying for sixhours, and he refuses to stop. Editing Task Find and correct eight more mistakes in the paragraphs about a student's success in his job. Iam a college student by day and a sous-chef' by night. My studies are important, has but my restaurant job have taught me what I really need to know about success. I am working in the kitchen of Da Lat, a French-Vietnamese bistro, for three years, and the job has been a wonderful experience for me because I have learned many new skills. 「sous-chef: the head chef's assistant