数Ⅲ複素数平面の問題についてです。 字汚くてすいません (1)を青チャとは違う方法で解いたのですが、これではやはりnが最小値の自然数だとは決まりせんかね？ よろしくお願いします

38 重要 例題18 累乗 要守 1+i ア=ーeとするとき 13+i B= V2 1+ a= 2 (1) a"=yとなるような最小の自然数nの値を求めよ。 )方程 のを求めよ。 n,mの」 式の形に直し,絶対値と偏角を比較 する。 程式が導かれるから,その自然数解について考えていくことになえ 答 1+ 1y=-aのとき 1- argy=argat 解答 ア=COS-ェ+isin 6' ー+isin-であるから, 7. 6 Tπ Aド·モアブルの限 (cos0+isinここ (1) α=cos+isin 7 -π十isin 6 nπ =COS nπ tisin 6 COS 6 =coS n0+isin 4偏角を比較。 a"=yより n=7+12k 7 -π+2kr (kは整数) nπ よって 6 6 n=7 求める最小の自然数nは, k=0 のときで π π (2) B=cos-+isin-であるから, α"B"=yより mT +isin COS 4 7 =cos-元+isin 4 7 Tπ 6 nπ mπ nπ COS 6 +isin- |(cosα+isin) ×(cosβ+isin =Cos(a+}+i 6 c+si(+)カーcos 5オ+ising よって(+=+2km (kは整数) m m 7 COS =D COS 6 -π十isin Tπ 6 m_7 4 4偏角を比較。 ゆえに 2n+3m=14+24k 1, mは自然数であるから, ① より のを変形すると 2と3は互いに素であるから, n-7=131, m-8k=21 (1は整数)と表される。よって n=7-31, m=21+8k nは自然数であるから 7-31>0 k20… 2(n-7)=-3(m-8k) 2 kS-1のとき 14+24k<0 ここで n+mが最小となるのは、 ②, ③からk=0 かつ!=2のとき a, bが互いに無 6の倍数ならば、 倍数である。 (a, b, cは整 n+m=(7-31)+(21+8k)=7+8k- ゆえに S2 すなわち(n, m)=(1, 4) のときである

分からないので教えてください🙇‍♀️

F TH Wait 7 AA Practice Reading の重要表現を実際に使ってみよう 日本語の意味に合うように, ( ) に適切な語を書きなさい。 1)勇気を振り絞って,メイは暗い部屋の中へと足を踏み入れた。 ) the dark room. Gathering all her courage, May ( 2) トミーのリュックは, お菓子でいっぱいだった。 ) sweets and Tommy's backpack ( snacks. 3) その子犬が大きくなるにつれ,彼はますますたくさん食べた。 As the puppy grew bigger, he ate ( 4) 激石はロンドンでの生活に慣れることができなかった。 Soseki could not ( ) life in London. 5) 外はひどく寒そうだ。 It( )freezing outside. 6) たくさんの本を読むことはあなたの視野を広げる。 Reading a lot of books ( )your ( 7) カレンは,毎日会社まで長い距離を歩くのにうんざりしていた。 Karen was ( )a long way to work every day. Dictation ●表現の書き取りにチャレンジしよう● ■音声を聞きながら,( )に適切な語を書きなさい。(音声は1度だけ流れます。) 1) Last vear Iwent to Oregon 1in the Onted states to study at a university. I thoughtI ) my new life, but it (

36,37,38の答えが分かりません。 どなたか教えていただけませんか？

asked strange questions so that the answers would sound funny and make them smile. that answer was true or not. Later in the interview, the volunteers were deliberately In the study, the scientists conducted interviews with volunteers. The volunteers recent study by scientists at the University of Portsmouth has shown that people can When people communicate face to face, they do not just communicate by speaking language. There are other factors involved, such as gestures. If the person you are tell if a speaker is smiling or not even without seeing their face but just by listening were asked to answer all questions with “I do in the summer,” regardless of whether talking to frowns, you know that he or she is unhappy. Whena person laughs during a conversation, you can tell that that person thought something was funny. However, a The interviews were videotaped with the purpose of gathering samples of different C 35) Smiling from Ear to Ear to their voice. of smiles. The scientists then analyzed the smiles. types According to the scientists, there are as many as 50 different kinds of smiles. T he researchers then had different group of volunteers listen to the audio portion of the recordings. This group of volunteers could tell what kind of smile the speaker had on his or her face by just hearing their voice. This indicated to the scientists that the voice has characteristics that communicate feelings and that people can interpret them. Another study also suggests that customer satisfaction is closely related to friendliness. As we all know, the best way to show friendliness is to smile. Researchers think that using the smiling voices in products or services effectively, Such as answering systems and computer programs, can contribute to better customer service. This can also be applied to hiring and training staff. Since people can tell ifa smile is real or not by a person's facial expression, and it has been proven that people, for example, customers can tell if a staff member's smile is real or not just by listening, then smiling not only from the bottom of your heart, but with your voice may be a g0od way to improve business.

合ってるか見てください！

2non120 「A Fill in the blanks to complete the sentences. (1)ケンと私はその遊園地の正面ゲートで待ち合わせています。 Ken and I will meet at the( ) gate of the ( ) park. (2) あの週刊誌には面白いことは載っていない。 There is nothing( ) in that( )magazine. (3) アイコは私のネコよりも大きいオスの白ネコを飼っている。 Aiko has a ( )( )cat ( ) than my cat. (4)床にはリンゴでいっぱいの買い物かごがあった。 I found a( (5) それはミクがある会社から入手した重要書類だ。 ) basket( ) of apples on the floor. They are( ) documents Miku got from a ( ) company. (6) 話しことばと書きことばの違いに注意しなさい。 Be careful of the differences between ( ) and( ) languages. (7) 故ホワイト教授は多くの研究者たちから尊敬されていた。 ) Prof. White was looked up to by a lot of researchers.

人と物の時の「イライラしている」を表す例文をそれぞれ一つずつ教えてください！

他 (長期にわたって)~をいらいらさせる >何度も繰り返して annóy する」 9858 irritate The noisy oitgatte silbom be lirritated with (人) /be irritated by[at)(物事)。 「~にいらいらしている」 イリティトゥ B1 11」ay about 「漢然と。 の国辺に」 575

この教科書のレベルはどのくらいですか教えください この教科書でどのくらいのレベルの大学まで対応できますか？

1 On 10 February 2009, at a height of about 800 kilometers above Siberia, an American satellite collided the first such height [háit] satellite [séetalait] collide(d) [kaláid(id)] with an old Russian satellite. It was collision [kaligan] collision in the history of space development. As a result, fragment(s) [fráegmant(s)) debris [dabri:] more than 1,000 fragments of debris were scattered into space. 2 The image above shows the vast amount of space debris in orbit around Earth. Approximately 22,000 vast [váest] orbit [5:rbat] approximately [aprá:ksamatli) objects larger than 10 centimeters across are floating around Earth. Of these, about 16,000 are from known 10 considering [kansidarig) artificial [a:rtafijal] currently [ks:rantli] operation [a:paréifon] Considering that there are only about 1,000 artificial satellites currently in operation, the amount of Sources. space debris is astonishing. This space debris is not only due to the collision of satellites. For example, when rockets reach space, they s 15 leave behind surplus engines and fuel tanks. These objects remain in orbit as space debris. In addition, surplus s5:rplas] there are tools that astronauts have dropped while tool(s) [t:l(z)) astronaut(s) [astrand:t(s) aluminum [ala:manom per|par] working outside. Even a one-centimeter aluminum ball. when orbiting at a speed of around 10 kilometers per 0 bullet [bálat] second, is far more powerful than a bullet from a gun. gun [gán]

1つでもいいのでお願いしたいです

IQ7 Crose the same grammatical sentences from the sentemce box below and answer with a symbol. ※Some options are not used. ロ (1)Lucy mmay not like coffee. 口(2) That red car cannot be Bob's because his is blue. 口 (3) Medicine can be dangerous for young children. 口 (4) Jane must be a genius because she knows everything. 口 (5) David should be in the library now. (a) The dark clouds are coming now. (b) May I help you? (C) Kosuke Kitajima must be a great athlete. He had 2 gold medals at the Olympics. (d) I have a test tomorrow. I must study today. (e) Nancy left here 1 hour ago. OIcan't eat food anymore. Iamfull. g) It can be a lie. Because he sometimes tells a lie. (b) Yuto Ngatomo practices socer very hard. He can play soccer very well. OIplayed a video game with Mike at his home a few minutes ago. So, he should be at home now. の You look pale. Youshould go to the hospital now. It may rain this aftermoon. She can't be there year.

数学A【一般の和事象の確率】サイコロ🎲 解法は理解できましたが、2個のサイコロというのは勝手に区別して良いのでしょうか？事象A∧Bにあるように(3.4)と(4.3)というのは同じではないでしょうか？ 「大小2つのサイコロ」のように書かれていればこのようになることが分かります... Read More

○●|O O O PR 38 2個のさいころを同時に投げるとき, 出る目の最小値が3となるか,または, 出る目の最大艦が 4となる確率を求めよ。 目の出方は,全部で 6°=36 (通り) 出る目の最小値が3となる事象をA0 (G ) 出る目の最大値が4となる事象をBとする。 2個のさいころの出る目の数を,x, yとする。 事象 A が起こるのは,(x, y) が 更に(3,3), (3, 4), (3, 5), (3, 6), 口事象 A, Bは互いに排 反ではない。 ANB, すなわち出る目 の最小値が3で,かつ出 030 通り る目の最大値が4となる 場合が起こりうる。 1|2|3|4|5 6 のときで,その場合の数は 7通り 1 2 事象 Bが起こるのは,(x, y) が 23° 3 4 (4, 1),(4, 2), (4, 3) さ対回と 5 のときで,その場合の数は 事象 ANB が起こるのは,(x, y) が 7通り T0 回 ○はAの要素 はBの要素 ●は ANBの要素 2通り 8&ラ 大日) のときで,その場合の数は よって,求める確率 P(AUB)は P(AUB)=P(A)+P(B)-P(ANB) 2_12 36 7 1 回 戸7 36 準節ふ出 36 36 3

計算アプリで調べた答えなのですが、この答えは合っていますか？教えて下さい(;_;) 補足:解答はございません

第11章 指数関数 対数関数[2] 11.1 2 logs 25 の値を求めよ。

どんな構文になっているか教えて欲しいです

such judgments/ however, is quite surprising. (3)Rather than making us view 0 strangers in a negative way, being in an anxious mood can actually make us feel closer to them. This, at least, seems to be the conclusion of one famous experiment