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Part 7 生まれたばかりの赤ちゃんは何もできない,というのは本当でしょうか。 People used to 1 Babies are full of mysteries. think they could do nothing by themselves except breathe, eat and sleep. These days, however, new discoveries about babies show us that they have much greater abilities than most people think. 1B 2 Recent research findings in brain science and cognitive psychology make it clear that babies are not necessarily born with clean slates. For example, they remember some sounds which they heard in the mother's womb. Sounds in the womb are usually muffled, but the melody and rhythm of musical sounds are not much altered. 3 Surprisingly, babies sometimes can naturally do what adults think babies cannot do. Do you believe that babies are born with the ability to hold their 15 breath in the water and swim? Some researchers studying the dive reflex in 21 infants between four and twelve months old found that none of them inhaled water or choked 20 during "diving." They naturally moved their Baby clean ciates 白紙の状態で 15 hold one's breath 後間もなくから1歳くらいになるまでの赤ちゃん 5 10 arms and legs in a swimming motion. discoveries [diskávəriz) <discovery [diskávəri] finding(s) [fáindiŋ(z)] brain [bréin] cognitive [kágnətiv] psychology [saikálǝdzi] slate(s) (sléit(s) womb (wú:m] 17 dive reflex muffle(d) [máfl(d)] rhythm (ríom alter(ed) [5:ltər(d)] surprisingly [sərpráizinli] naturally [nætfərəli] breath [bré0] researcher(s) [riss:rtfər(z)] Co reflex [rí:fleks] infant(s) [infənt(s)] inhale(d) [inhéil(d)] choke(d) [tfóuk (t)] C motion (mouf

解答の8行目なのですが、fxはなぜx=0で微分可能であると分かるのですか？

356 00000 微分可能な関数f(x) f'(x)=ex-1 を満たし, f(1) = e であるとき、f(x)を 求めよ。 X 重要 例題 211 導関数から関数決定 (2) 指針 ▷>条件f'(x)=lex-1|から, f(x)=flex-1|dx とすることはできな い。 まず、 絶対値 場合に分けるから x>0のとき f'(x)=ex-1 x<0のとき f'(x)=-(ex-1)=-ex+1 x>0のときは、 x<0のときは,条件f(1) =e が利用できない。 練習 解答 x>0のとき, ex-1>0であるから よって f (1) =e であるから ゆえに C=1 よって したがって ④ 4 2111 limf(x)=limf(x)=f(0) を利用して, f(x) を求める。 0 (e=e-1+C_ したがって f(x)=ex-x+1 x<0のとき, ex-1 <0であるから f'(x)=-ex+1 よってf(x)=f(-ex+1)dx = e から f(x) が決まる。 しかし, と条件f(1) そこで, 関数f(x)はx=0 で微分可能=x=0 で連続 (p.242 基本事項1②に着目。 320 tation ( =-ex+x+D (D は積分定数) (2) f(x)はx=0で微分可能であるから, x=0で連続である。 ゆえに ①から ②から f'(x)=ex-1 f(x)=f(ex-1)dx=ex-x+C (Cは積分定数) limf(x)=limf(x)=f(0) x-0 x→+0 π 2 limf(x)=lim(ex-x+1)=2 x→+0 x→+0 lim f(x)=lim(-ex+x+D)=-1+D x-0 ゆえに ex-1 このとき, lim -=1から x→0 x lim h→+0 2=-1+D=f(0) lim h-0 x-0 f(x)=-ex+x+3 ...... ƒ(h)-f(0) eh-h-1 h h f(h) -f (0) h =lim ん→+0 A =lim h-0 -=0, -e+h+1 h =0 よって,f'(0) が存在し, f(x)はx=0で微分可能である e*-x+1 (x≥0) 以上から f(x)= D=3 yA 基本210 0 an y=ex-1 導関数 f'(x) はその定義か らxを含む開区間で扱う。 したがって, x>0,x<0の 区間で場合分けして考える。 f(x) は微分可能な関数。 ◄lim 必要条件。 逆の確認。 p.257 も参照。 im (e^/-1-1) ん→+0 lim{=(e^-¹) +1} ん→-01 h OTS 1 π <x<1とする。 f'(x)=|tan²x-1, f(0)=0 であるとき, f(x) を求めよ。

書き下し文にするとどうなりますか？

豈 室に誠簾の士ならずや。 堂床 なんと清廉潔白な武士ではないか、 ずシテラ シカラ より ゑんぼうル 來、 不二亦樂平。人不知而不幅 朋自遠方 楽しからずや。 なんと楽しいことではないか 不二亦君子一平。 ホ六君子ならずや なんと君子ではないか すでうつレリ しかシテはふ ⑤時巳徒矣。而法不徒。以此爲治 うつラ これヲ 豈不難 440 ○難･・・困難だ Flex 当に難しからずや。 なんと困難なことではないか。 有 とも ひと シカラ

四角で囲んだ部分についてなのですが、その定義というのはどういう定義ですか？ その定義から開区間で扱うという所について詳しく教えて欲しいです

356 重要 例題 211 導関数から関数決定 (2) 微分可能な関数 f(x) が f'(x)=ex-1| を満たし, f(1) = e であるとき, f(x)を 基本 210 求めよ。 指針▷>条件f'(x)=e*-1|から, f(x) = flex-1dx とすることはできな い。 まず x>0のとき f'(x)=ex-1 x<0のとき f'(x)=-(ex-1)=-x+1 x>0のときは, A と条件f(1) =e から f(x) が決まる。 しかし、 x<0のときは,条件f(1) =e が利用できない。 そこで,関数f(x)はx=0で微分可能 lim f(x)=lim f(x)=f(0) を利用して, f(x) を求める。 X-40 解答 x>0のとき, ex-1> 0 であるから f'(x)=ex-1 よって f(1) = e であるから e=e-1+C ゆえに C=1 したがって f(x)=ex-x+1 x<0のとき, ex-1 <0であるから f'(x)=-ex+1 よって f(x)=f(-e*+1)dx x→+0 x-0 f(x)=f(ex-1)dx=ex-x+C (Cは積分定数) X1-0 -ex+x+D (D は積分定数) (2) f(x)はx=0で微分可能であるから, x=0 で連続である。 ゆえに limf(x) = lim f(x)=f(0) phix x→+0 x-0 ①から limf(x)=lim (ex-x+1)=2 ②から limf(x)=lim(-ex+x+D)=-1+D よって したがって このとき, lim- lim ん→+0 場合に分けるから 絶対値 2=-1+D=f(0) ex-1 x0 x lim h-0 x→+0 x-0 f(x)=-e*+x+3 =1から ƒ(h)—ƒ(0) h ƒ(h)—ƒ(0) h =lim ん→+0 A ゆえに =lim h-0 D=3 eh-h-1=( =0, h -e" +h+1 h =0 よって,f'(0) が存在し, f(x)はx=0で微分可能である。 e*-x+1 (x≥0) 以上から f(x)={ −e³+x+3 (x<0) y₁ (p.242 基本事項 ① ② ) に着目。 x=0で連続 10 (1)\= + y=ex-1 導関数f'(x) はその定義か ら, x を含む開区間で扱う。 したがって, x>0,x<0の 区間で場合分けして考える。 x f(x) は微分可能な関数。 6101 (lim (1-1) h 必要条件。 逆の確認。 p. 257 も参照。 ◄lim 1 { =(e^_-¹) + 1} -(eh-1) k-ol ors 練習 211-1<x<1とする。 f(x)=|tan-x-11, f(0)=0 であるとき, f(x)を求めよ。 1 [2] 3

四角で囲んだ部分についてなのですが、その定義というのはどういう定義ですか？ その定義から開区間で扱うという所について詳しく教えて欲しいです

356 00000 重要 例題 211 導関数から関数決定 (2) 微分可能な関数 f(x) が f'(x)=ex-1| を満たし, f(1) = e であるとき, f(x)を 基本210 求めよ｡ 指針▷>条件f'(x)=ex-1|から, f(x) = flex-1dx とすることはできな い。 まず、 絶対値 場合に分けるから x>0のとき f'(x)=ex-1 x<0のとき f'(x)=-(ex-1)=-e*+1 x>0のときは,A と条件f(1) = e から f(x) が決まる。 しかし, x<0のときは,条件f(1) =e が利用できない。 そこで,関数f(x) は x=0で微分可能 lim f(x) = limf(x)=f(0) を利用して, f(x) を求める。 x→+0 解答 x>0のとき, ex-1>0 であるから よって f (1) = e であるから e=e-1+C ゆえに C=1 x<0のとき, ex-1 <0であるから f'(x)=-ex+1 よって f(x)=f(-ex+1)dx ゆえに lim f(x) = lim f(x)=f(0) x→+0 x-0 ①から limf(x)=lim (ex-x+1)=2 ②から limf(x)=lim(-e*+x+D)=-1+D よって したがって x→+0 f'(x)=ex-1 f(x)=f(ex-1)dx=ex-x+C (C は積分定数) =-e*+x+D (Dは積分定数 (2) f(x)はx=0 で微分可能であるから, x=0で連続である。 _0-1x このとき, lim lim h→+0 x→0 x 練習 1 211 lim h--0 2=-1+D=f(0) ゆえに D=3 f(x)=-ex+x+3 -=1から ex-1 したがって f(x)=ex-x+1 ...... 1 x→+0 0-1x ƒ(h)—ƒ(0) A : lim ん→+0 ƒ(h)—ƒ(0) h eh-h-1 h =lim h-0 (p.242 基本事項 ① ② ) に着目。 x=0で連続 -=0, -e" +h+1 =0 h よって,f'(0) が存在し, f(x)はx=0で微分可能である。 [e*-x+1 (x≥0) 以上から f(x)={ −e³+x+3 (x<0) ....... x+x-xm-(2) y O y=ex-1 導関数 f'(x) はその定義か ら,x を含む開区間で扱う。 したがって, x>0,x<0の 区間で場合分けして考える。 x JOHAJ (x)=x (S) lim ん→-ol f(x) は微分可能な関数。 lim (e^-1-1) ++0 130 1 Ade 必要条件。 逆の確認。 p.257 も参照。 =(e^-1)+1} h ors π <x<1とする。 f'(x)=|tanx-1, f(0)=0 であるとき, f(x) を求めよ。 3 [2] 3 J Î

英作文の添削お願いします！

Many people are beginning to think that the legal age of majority* should be lowered to 18 years old. Are you for or against the idea? Answer in English in about 100 words. Start by stating your position and give at least two reasons for your opinion. the legal age of majority* tavilizo

FLEX2 レッスン3 教科書のcompressionが分からなさすぎてヘルプです

Choose the appropriate answer. hartan art ell 1. It became more important for people to get salt a. when Roman soldiers were given money to buy it b. when people started to hunt animals for food c. when people ate less meat and began to eat more grains and wheat 3. The influences of salt can be seen a. in modern cultures b. not in languages but in customs and religions c. more in languages than in customs or religions boyasdo 2. What ancient people discovered was a. that salt could stop droughts and help people survive a lack of food b. that salt helps bacteria grow foods c. that salt keeps foods from going bad 4 4. Thanks to some discoveries by scientists, a. people have changed how they produce salt b. people have begun to use salt in new ways edme c. people have found that salt has always had an influence on many cultures Salt is 1 dor d blues 2 Fill in each blank with the most appropriate word to complete the summary. EXTER Jika ODOY velg avs ) for our lives and we cannot live without it. In ancient times, as people be eat more food which were low in salt, they needed a lot more salt to survive. Eventually it bec 2 3 ) trade item. Also, salt was used to ) famines and travel to ) food. Because of this, people 5 ancient people, has also 6 ) places. Salt, which was very importa modern cultures. Some used, and its influence can also be found in some ) related to salt an 8 ). One important scie 9 ) enabled people to produce new things. Salt is now a common item, but it has had ) on the world. 10 7 affected / available / decrease / discovery distant expressions impact / precious / preserve / religions essential survive

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【ⅢI】 次の(A), (B)の設問に答えよ。 (A)14点,(B) 6点) (A) 次の英文を読んで下の設問に最も適切な解答をせよ。 特に指示のない選択式の設問は記 号を1つ選んで答え, "You may choose more than one option." と指示のある設問に対して複 数の記号を選ぶ場合は, アイウエオ順に解答すること｡ Mike: Hello Alex, long time no see! Alex: Hi, it's been almost two years since we last met each other! How were you doing? Mike: Until recently, I was frustrated that I could not meet my friends at university, but I was able to spend more time with my family, so I was okay. By the way, how did you like the online classes? Alex: Personally, I did not like them. It was difficult for me to maintain my concentration at home. Also, I could not resist the temptation of using my smartphone, because there was no supervisor at home who checked whether I was working hard or not. Mike: If you use your phone during class, the professor will definitely tell you off! Mo Alex: Another reason why I prefer in-person classes is that I can ask questions or have discussions with my friends. In the Pre-covid-19 era, when I had questions, I went up to my friend Thomas, one of the best students in our faculty and he taught me everything that I did not understand. Mike: That was a huge issue for me as well. If I have questions piled up, then I am more likely to dislike the subject and have more anxiety towards it. So, my friends and I decided to have meetings online on a regular basis and this helped me to worry less about online learning. Alex: That was really ( 1 ) of you, I should have done that! So, are you in favor of online learning? Mike: Yes, although I have less face-to-face interaction with friends, I like online learning more because I do not have to spend a lot of time commuting to school. I live far away from university and it takes two hours for me to get here by train. B(A) Alex: Really! I did not know that, what time do you wake up? Mike: I usually wake up at 5 am. Alex: That's so early! What do you do on the train? Mike: I just do netsurfing and I do not feel that I use my time productively on the train. If we can continue to take online classes wherever we want, we can get more flexibility in our schedules, We won't have take the time to commute to the university to attend classes, or if we like it, we may even be able to watch lecture videos on our phones while traveling by train. Alex: I understand your opinion, but didn't you have any technical problems? Mike: I only had a few. Besides, most of the professors posted recorded videos of lectures after class. So, I watched the recordings when I missed some parts. Furthermore, I could study at my own pace and the videos allowed me to digest what I had learned. Alex: That's a good point, but it had an adverse effect on my learning. Mike: How? Alex: I started skipping my online classes because I thought I could just watch those recorded videos later. So, just before exams, I had so many videos to watch. Mike: Maybe, traditional classroom settings might be better for people like you. Alex: I think so. Oh, it's time to go to class. Mike: Oh, yeah, have a good day. Alex: You too! 問1 NOTES Topic of the conversation: (2) Standpoint Basis Mike (3) (5) Choose the best one to complete blank 1. 7 because cruel clever I kind 2 Choose the best title to complete blank 2. 7 How to get good results at university Technical issues in online classes Safe remote learning at home I Online learning or learning face to face Alex (4) (6) -11-

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【Ⅲ】 次の(A), (B)の設問に答えよ。 ((A)14点,(B)6点) (A) 次の英文を読んで,下の設問に最も適切な解答をせよ。 特に指示のない選択式の設問は記 号を1つ選んで答え, "You may choose more than one option." と指示のある設問に対して複 数の記号を選ぶ場合は、 アイウエオ順に解答すること。 Mike: Hello Alex, long time no see! Alex: Hi, it's been almost two years since we last met each other! How were you doing? Mike: Until recently, I was frustrated that I could not meet my friends at university, but I was able to spend more time with my family, so I was okay. By the way, how did you like the online classes? Alex: Personally, I did not like them. It was difficult for me to maintain my concentration at home. Also, I could not resist the temptation of using my smartphone, because there was no supervisor at home who checked whether I was working hard or not. Mike: If you use your phone during class, the professor will definitely tell you off! Hot Alex: Another reason why I prefer in-person classes is that I can ask questions or have discussions with my friends. In the Pre-covid-19 era, when I had questions, I went up to my friend Thomas, one of the best students in our faculty and he taught me everything that I did not understand. Mike: That was a huge issue for me as well. If I have questions piled up, then I am more likely to dislike the subject and have more anxiety towards it. So, my friends and I decided to have meetings online on a regular basis and this helped me to worry less about online learning. Alex: That was really (1) of you, I should have done that! So, are you in favor of online learning? Mike: Yes, although I have less face-to-face interaction with friends, I like online learning more. because I do not have to spend a lot of time commuting to school. I live far away from university and it takes two hours for me to get here by train. Alex: Really! I did not know that, what time do you wake up? Mike: I usually wake up at 5 am. ant mo Alex: That's so early! What do you do on the train? Mike: I just do netsurfing and I do not feel that I use my time productively on the train. If we can continue to take online classes wherever we want, we can get more flexibility in our schedules, We won't have to take the time to commute to the university to attend classes, or if we like it, we may even be able to watch lecture videos on our phones while traveling by train. Alex: I understand your opinion, but didn't you have any technical problems? Mike: I only had a few. Besides, most of the professors posted recorded videos of lectures after class. So, I watched the recordings when I missed some parts. Furthermore, I could study at my own pace and the videos allowed me to digest what I had learned. Alex: That's a good point, but it had an adverse effect on my learning. Mike: How? Alex: I started skipping my online classes because I thought I could just watch those recorded videos later. So, just before exams, I had so many videos to watch. Mike: Maybe, traditional classroom settings might be better for people like you. Alex: I think so. Oh, it's time to go to class. Mike: Oh, yeah, have a good day. Alex: You too! 問1 NOTES Topic of the conversation: ( 2 ) Standpoint Basis Mike (3) (5) Choose the best one to complete blank 1. 7 because cruel clever I kind 2 Choose the best title to complete blank 2. 7 How to get good results at university Technical issues in online classes Safe remote learning at home I Online learning or learning face to face Alex ( 4 ) (6) -11- 18

英検英作文です。 添削、アドバイスしてくれると有難いです🙇‍♂️

TOPIC 1 Do you think that online courses are as effective as traditional classes? POINTS> ● • Costs Flexibility ● Interactive learning • Motivation