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数学 高校生

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

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数学 高校生

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

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英語 高校生

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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英語 高校生

この問題の答えを教えてください🙏

【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-

未解決 回答数: 1
英語 高校生

この問題の答えを教えてください🙇‍♀️

【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

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英語 高校生

先程の問題のあとの問題です。 ややこしくてすみません。 こちらの方も添削お願いします🙇‍♀️

第5問 次の英文を読んで、(質問) 1~5に対する答えを、 それぞれ①~④ の中から1つ ずつ選び、その番号を解答用紙の解答欄に記入しなさい。 Today people talk a lot about gender equality. In a perfect world, women and men would be treated equally. Unfortunately, that's not true, even in highly developed countries! 稼ぐ Let's focus on the workplace ( A ) women often do not get equal treatment. They earn (¹)( ) than men, even when they do the same job They are promoted (1) ) often than men. That's (B) there are still fewer women in top positions. C There is also the problem of maternity leave and job security. Many American women are not paid during maternity leave. Their job is protected only for 12 weeks after childbirth. If they take more time off, they may be out of a job! Clearly this situation is unfair. What can we do to achieve gender equality? 昇進 First of all, (2)(1. the way 2. behave 3. change 4. at work 5. should 6. men 7. they). They must learn to listen to (C) women say and be willing to work with them. Promotions should be based on (3)( Furthermore, men need to use the same style of communication when they speak to both female and male staff. Second, women have to change their behavior in the workplace. express their opinions. They should remember that it's OK to disagree. they have to act like leaders---strong, positive and polite. Third, companies should have plans that promote gender equality such as paid maternity leave, flexible working schedules and working from home. Gender awareness programs are also helpful. Gender equality in the workplace is not an impossible dream, but it will take time, energy and understanding to reach this goal. 【】 gender equality maternity leave childbirth 1 less equal treatment 「平等な待遇」 promote 「昇進させる」 job security 「雇用保障、 仕事の保証」 (質問) 1. 空欄 (1) に入れるのに最も適切なものを①~④より選び、その番号を解答欄に記入し なさい。 2 least • gender awareness programs 「性別に関する啓発活動」 ( 2. (2) の下線部について、 「男性は職場でのふるまい方を変えるべきです」 という意味に なるように( )内の語句を並べかえるとき、最も適切な組み合わせを①~④の中から 選び、その番号を解答欄に記入しなさい。 They must not be afraid to If women want to be leaders, (3) more 1-6-2-5-3-7-4 2 1-4-5-3-6-7-2 4 smaller 3/6-5-3-1-7-2-4 4 6-2-7-5-4-1-3

解決済み 回答数: 1