解き方を教えてください。

22:39 1 ◄ Safari 完了 kiso-report-on-diff 2.pdf Q 下村克己 1) 以下のロピタルの定理について下の各問いに答えよ。 定理 f(x),g(x) を点αで微分可能とする。 さらに、 レポート問題 (微分) f'(x) lim f(x) = 0 = lim g(x) and s.t. lim =l x→a x-a rag'(x) と仮定する。 このとき f(x) lim x→a g(x) x→a g'(x) (i) 下の証明の概略の下線部分がなぜ正しいのか根拠を書きなさい。 証明の概略 æ>aの場合だけを証明すればよい。。 Cauchy の平均値 の定理の仮定をみたす ので、 b 問題 極限 lim x-0 (a <c<x) (1) が成り立つ。 f(a)=0= f(b) が成り立つので、(1) 式の両辺に lim を施せばよい。d x-a □ f(x) - f(a)__ f'(c) = g(x) = g(a) g'(c) (ii) 次の問題について、 解答の等号 (=) に理由をつけてください。また、 最後のロピタルの定理が使える理由も述べなさい。 sin (sin) を求めよ。 x 解答 lim sin (sin - z) = 0, かつ lim x=0であり、 x→0 lim x→0 =1(= lim TX T 1 cos (sin cos = x - - - - π = lim x-0 π sin sin (TX) だから、 ロピタルの定理より、 lim 0fm i=0 sin (sin-7) – = TI 1 = (ii) 関数 f(x) が0を含む開区間で何回でも微分可能とする。 さらに、そ の開区間では f(x) = a₁x² (= ao + a₁x + a²x² + ...). 1

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

なぜ主語のincreasedが形容詞なのでしょうか？

(A) vision (名)視力 visual (B) (形)視覚の (C) visibility (名)目に見えること visible (D) (形)目に見える 問題文 Increased visibility of racial diversity in society has made people more aware of some critical racial issues. 社会で人種の多様性が多く見えるようになったこと で、人々は重要な人種問題をより認識するようにな りました。 解説 空欄は形容詞の後にあり、主部になる名詞句の中核 をなすので、名詞が入る。 文意からvisibilityが適 切。

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Grammar 文法に強くなろう! A 例にならい、 枠の中から適切な単語を選び、 必要な場合は適切な形にして次の1~4の文を完 成させましょう｡ 15: Don't make so much noise. We ( are studying) now. 1. I have to go now. It ( ) late. ) heavily when we went out. 2. It ( 3. What's so funny? Why are you ( 4. "What does your mother ( B 例にならい、 イラストの状況に関する質問に答えましょう。 Is she teaching English? No, she isn't. 1. Does she teach English? 2. What is she doing? 2) ? )?" "She's a nurse." 3. What does she do? I'm an English teacher. study ✓ laugh get do snow Let's 次のパッセー Av at th cour does 201 lan of to A

前後から読み取って考えたとして、答えはDなのですが、なぜ副詞なんでしょうか？

No. 103 Gyeon Corporation's continuing education policy learning new skills enhances creativity and states that focus. (A) regular (B) regularity (C) regulate (D) regularly

答えはDなのですが、B.C.Dは動詞でしょうか？分詞とかあれこれありますが、なぜDなのでしょうか？

No. 101 Customer reviews indicate that many modern mobile devices are often unnecessarily (A) complication (B) complicates (C) complicate (D) complicated

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VOCABULARY: Matching Match the words and phrases (1-8) to their definitions (a-h). 1. water 2. cookie 3. mango 4. to crush 5. to squeeze 6. to pour 7. to add 8. to decorate a. to make a liquid flow in a steady stream b. to put something together with something else c. to press something firmly together d. to make something look more attractive by putting things on it e. a flat, round sweet baked bread f. the clear liquid in seas, lakes, and rivers 9. to damage something by flattening it h. a tropical fruit that is yellow inside IDEO: Predicting estions.

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Match each word with the best meaning. 2. 1. 3. 4. 5. 6. 7. 8. 9. 10. automatic circumstances factor - gesture imply interpret offensive tone unconscious universal a. a fact that one needs to consider b. working by itself c. conditions that make something happen d. a body movement to show something e. to suggest only indirectly f. rude or impolite g. the loudness or character of a voice h. not thinking or sensing i. found or done everywhere j. to change something in one language into another language Body Language

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Match each word with the best meaning. 2. 1. 3. 4. 5. 6. 7. 8. 9. 10. automatic circumstances factor - gesture imply interpret offensive tone unconscious universal a. a fact that one needs to consider b. working by itself c. conditions that make something happen d. a body movement to show something e. to suggest only indirectly f. rude or impolite g. the loudness or character of a voice h. not thinking or sensing i. found or done everywhere j. to change something in one language into another language Body Language

1上目の証明が分からないので、教えてください。

任意の整数a,b に対して, vp (a+b)≧ min{vp (a), up (b)}であり, up (a) ≠ up (b) ならば等号が成り立つことを証明せよ.但し,任意の整 数kに対し, ∞kであるとする.