これで大丈夫ですか？

不定積分 ScOS X dx を求めよ。

答えと求め方が異なったため、正規直交基底が違うのですが、僕の合ってるか確認して欲しいです！

[100] -10 2 3. R3 内の平面 H: 3x - y +5z = 0 の3 の部分空間としての正規直交基底を1組求めよ. 注. まずは普通に部分空間の基底を求めよう. 得られた基底にグラムシュミットの直交化法を適用すれ ばよい. 4 の曲額のみ書込 ++ 2 [びのし 2

2） 3単語何が入るか教えてください🙇🏼‍♀️

Yoshida Nagi is a unique photographer. She often takes pictures in Africa and other places around the world. Yoshida became interested in African ethnic groups when she was five years old. She happened to see the Masai people, one of the ethnic groups in Africa, on TV. She did not know why, but she became strongly attracted to the Masai. She even thought, "I wish I were a member of their tribe." Soon after that, going to Africa became one of her dreams. She stopped going to junior high school in second. grade because she had trouble fitting in. In fact, she was bullied in both elementary and junior high schools. After leaving school, she worked for several years and saved money. Her childhood dream came true in 2009, when she was 23 years old. She finally visited Africa.

【that】 緑マーカーのthatってなんなんすか？ developの目的語ですか？ もし違ったらdevelopの目的語ってどれですか？

①English has become the leading international language because of three rather different developments. Firstly, the language acquired a strong position in large parts of the world as as Britain built and maintained its empire from the seventeenth through to the ( A ) twentieth centuries. Secondly, the United States obtained a leading position in technology, economy, and politics in the first part of the twentieth century, and still retains this status. Thirdly, industry, communications, and international relations developed in such a way in the twentieth century that a common language was much more in demand than before. English was there to fill (a) the need, while the other European languages had been pushed aside for different reasons. As the *prominent position of English arises from the three factors mentioned, attitudes towards the language among people outside the English-speaking countries may vary accordingly. English may be seen as a language of communication all over the world, or as a tool for the imperialist ambitions of the United States, or as [ ] *inheritance. All these views are justified to some extent. Different opinions tend to prevail in different parts of the world. In countries outside the direct spheres of influence of the United States and Britain people often stress the advantages of using one international language in contacts with many *linguistic areas. People who speak a small language as their native tongue appreciate that one other language opens up opportunities for contacts in areas. For this reason it is becoming ever more important to learn English as a second language in most countries of the world. B

【as】 青マーカー部分のasの用法ってなんですかね〜？ 理由かな〜と思ったのですがよく分からないです。 文脈判断ですよね？どなたか教えて頂きたいです。

w English has become the leading international language because of three rather different developments. Firstly, the language acquired a strong position in large parts of the world as as Britain built and maintained its empire from the seventeenth through to the ( A ) twentieth centuries. Secondly, the United States obtained a leading position in technology, economy, and politics in the first part of the twentieth century, and still retains this status. Thirdly, industry, communications, and international relations developed in such a away in the twentieth century that a common language was much more in demand than before. English was there to fill (a)t the need, while the other European languages had been pushed aside for different reasons. tioned) A ③As the *prominent position of English arises from the three factors mentioned attitudes towards the language among people outside the English-speaking countries may vary accordingly. English may be seen as a language of communication all over the world, or as a tool for the imperialist ambitions of the United States, or as [ ☑ ] *inheritance. All these views are justified to some extent. Different opinions tend to prevail in different parts of the world. In countries outside the direct spheres of influence of the United States and Britain people often stress the advantages of using one international language in contacts with many *linguistic areas. People who speak a small language as their native tongue appreciate that one other language opens up opportunities for contacts in ) areas. For this reason it is becoming ever more important to learn English as a second language in most countries of the world.

英作文採点お願いしますm(_ _)m ※I'm looking forwardは関係ないので気にしないでください🙇‍♀️

【エッセーのテーマ】 What is something you try to do every day? Choose one thing and explain why. I think it is very important That Play Sports every day. Firstly, We can move easily because We can (ose our weights. We are able to stay healthy. Secondly, Playing We can have a good time Sports is fun and if we can't build we do it with our friends. nice friendships. I'm looking forward 5

数3積分です。 判別式が0以上で実数解2つなのは分かるのですが、結論で異なる3点で交わることになるのが理解できません。どなたか教えて頂きたいです。

106 面積(Ⅲ) 2つの曲線 y=x(x-1)2 について、次の問いに答えよ. ・①, y=kx2 (k>0) ......② (1)この2つの曲線は異なる3点で交わることを示せ. (2)この2つの曲線で囲まれる2つの部分の面積が等しくなるような の値を求めよ. 精講 (1) 「異なる3点で交わる」 参 「①,②からyを消去した式が異なる3つの実数解をもつ」 実数解の個数だけであれば,数学ⅡB 94 の手順でよいの でしょうが,(2)で面積がテーマになっているので,出せるものなら,直接 解を出しておいた方がよいでしょう. (2)問題文の通りに式をつくればよいのでしょうが, ポイントの考え方を最初 から使えるようになれば, 少しですが, 負担が軽くなります. 解答では、ポイントの考え方がでてくる過程がわかるようにかいてありま す。 解答 (1) ① ② を連立して,yを消去すると, x(x-1)2=kx2 ← 1x{(x-1)2-kx}=0 c{x²-(k+2)x+1}=0 ここで,'-(k+2)x+1=0 ...... ③ ...③ の判別式をDとすると D=(k+2)2-4=k+4k>0 (k>0より) よって、③は異なる2つの実数解αB (α <B) をもつ. ③はx=0 を解にもたないので(③にz=0 を代入すると 10 と なって矛盾), ① ② は異なる3点で交わる.

答えと解説お願いします🙇

下線部の単語と意味・用法が同じである単語を含む英文を1つ選びなさい。 In historical terms tea drinking is a relatively recent phenomenon in Britain. ①I am not on very good terms with her. One has to come to terms with reality. ③They saw everything in terms of money. You have to learn many technical terms. ring by ⑤We sold furniture at very reasonable terms. vit

【2】の問題が分かりません。 答えは「I can do to help」 です。 help to do で（〜するのを手伝う）という意味なので、 I can help to do でも当てはまると思ったのですが、間違いである理由がしりたいです。

hine noftrails baided a fal Teamwork nola ad tibes people add "How's it going?" is what I usually ask my students when we begin our classes. The response is mostly pretty neutral. "Not bad, thanks." But in the last few months, two students from two different classes have answered with "Really good!" ( To bind all aid junds s Their very positive response to my question [1]( 21 ) ( ( 20 )( ) the best TOEIC score of their lives. When I congratulated them, they both said, "Thanks to you, Samantha!" I told them that it definitely wasn't just me. I only see them for two 19089 0 hours a week, so there's only so much [2] ( 1019istow amb dainod ( 22 )( )(23 )( 24 )( ) their English. In the courses my company provides, we focus on our students' SBA Istigi communication skills, not their TOEIC scores. [3] ( ) on test-taking techniques and time management. In a real-life situation, you get more than 30 seconds to read an email and answer questions about it. And in real life, you can )( ( 25 )( 26 ) ( ) ( ) ( 27 [4] ( do my best to give students opportunities to speak and to [5] ( ) information. In my classes, I ) ( 28)( ( 29 )( [1] (20,21) ①1 because 4 just gotten [2] (22,23) 1 help 4 do can. aquellado ② had ③ was ⑤ they CLE 0E) D jay @ om O 2 to 3 I (5 can (acc) [8]

数学積分です。 (n-1)(In-2-In)のところまでは理解出来たのですが、そこからnIn=につながるのが理解できません。なぜこの式に変形できたのでしょうか？どなたか教えて頂きたいですm(*_ _)m

π In= = sin "rdr とおくとき,部分積分法を用いて, 2 In=n-11-2(≧3) を示せ. n 精講 入試では頻出テーマですが,「部分積分法を用いて」の部分 ないことが多いようです。 結果を覚えておく必要はありま 解答の流れは頭に入れておく必要があります. 解答 In= 2 π 2 sin"-x.sinxdx="sin"-¹x-(-cos x)' dx =|-sin" π 2 -[-sin-rcos.r] + (n-1) sin*~*r(sin.r) cos.rdr π S55 COS ]² √² 0 =(n-1)f sin"-2xcos'rdr π 2 =(n-1) f sin"-2x(1-sin'z) dr =(n-1) (In-2-In) ∴.nIn=(n-1) In-2 →合成関数の微分:62 -In (a-y よって,In=n-1 -Inn+I よって, In=n-1I-2 (n≧3) n