一番最後のCを代入してy=の形にどうやってやるのかわかりません、教えてください。

3. 6 dy dx したがって = k(a −y)(b −y) (a‡b) となります. dy (a - y)(b - y) dy (a - y)(b −y) Ta この左辺の積分では,分数部を部分分数に分解すると 1 1 1 a = b / { v=y=_=a² y} dy = k [ da b-y - ↓置換 31/12 1 da-b {− ln \b − y| + ln |a − y|} = kx + C 1 a - b = kdx In Y = fkd a Y b-y また,初期条件をæ=0のとき, y=0 とすれば, C = す.したがって = kx + C af ab(ekbæ - ekax bekba aekax (6.7) 1 a-bb In - で

1/b-y - 1/a-y の積分をすると符号が逆になるのは、置換して微分したものをかけると-1ができるからであってますか？

3. したがって dy dx 1 a-b となります. =k(a - y)(b-y) (a + b) dy (a - y)(b - y) dy (a-y)(b-y) この左辺の積分では, 分数部を部分分数に分解すると 1 1 - ² / { b ² = ² } dy = k/d ₂ dx a b y a 1 a - b In = kdx {- In b-y + ln |a − y|} = kx + C - a-y b-y y = -= =/ ab(ekbx_ bekbx kdx また,初期条件をx=0のとき, y=0 とすれば, C= す. したがって kx + C - ekar) aekar (6.7) 1 In a-bb で

⑴がわからないです！よかったら教えてください💦 長文読解のコツとかもあったら教えてくれると嬉しいです✨

次の英文を読んで、あとの問いに答えなさい。 <千葉日大第一改 J.K.Rowling is the author of the Harry Potter books. J.K.'s name is *Joanne Kathleen. She was born in 1965 in a small town near *Bristol, England. Joanne lived with her parents and her sister. The Rowling family was not rich. Joanne did not go to special schools. ( 1 ) She loved to read and write stories. Joanne went to *Exeter University, and she graduated in 1987. After graduation, she moved to London and worked there at different office jobs. In her free time, she wrote stories. In 1990, Joanne's mother died, and she was sad. ( 2 ) She saw an *ad in the newspaper for a job as an English teacher. The job was in *Portugal. She had an *interview, and she got the job. In Portugal, Joanne married a Portuguese man. The next year, Joanne had a daughter, but she was not happy in her marriage. She left Portugal with her daughter and went to live in *Edinburgh, Scotland, near her sister. Life was very difficult for Joanne. She took care of her daughter. She was alone, and nobody helped her. She had no money and no job. Then one day, on a train, she thought about the Harry Potter story. She began to write that story. Joanne liked to go to a coffee shop to write. (3) She drank coffee and wrote. Her daughter slept beside her. After five years, Joanne finished writing the first Harry Potter book. She sent it to many book publishers. ( 4 ) Finally, a publisher liked it, but the publisher said, “This is a children's book. Adults won't read it. You won't make a lot of money." In 1997, Joanne's dream to publish her book came true: Harry Potter and the Sorcerer's Stone was in the bookstores. Children and their parents loved the book, and it became famous all over the world. Now Harry Potter is in sixty-five languages. The publisher was wrong about one thing: Everyone loves Harry Potter children and adults. Over 100 million books were sold in 1999. Then two Harry Potter books became popular movies. J.K.Rowling wrote four more Harry Potter books after that. All those books became movies, too! On January 11, 2007, J.K.Rowling finished her seventh and last Harry Potter book. She will continue to write, but not Harry Potter books. The question is, what will people do without Harry Potter? 注 Joanne Kathleen ジョアン キャスリーン(人名) Bristol ブリストル Exeter University エクスター大学 ad Portugal ポルトガル (国名) interview Edinburgh エディンバラ (地名) (1) ①~④の( に適するものを,ア~エから1つずつ選び,記号で答えなさい。 She sat there for many hours. 7 She wanted to leave England. They said that they didn't like it. 詞 (3) (2) 本文の内容にも I She was a quiet child. D( ) @ ( ) 3( ) 4( )

何度も書き直したり解き直したりしたのですが、分かりません教えてくださると幸いです。

3 (7) -/-/-a³b² 23/7-a³b² ÷ 10ab³² = (9) 24ab² ÷ (-6b²) × (-3a) (8) (-5a (10) LO/0 ab

答え:④interested 訳:実を言うと、僕は君の話にあまり興味がないんだよ。 このmuchはどんな働きをしているのか教えてください。

28 Part 1 Point 015 30 anob, ad 37 To tell the truth, I'm not much ( ) in your story. Snob 90 RO ob interest 2 interesting 3 interestingly 109 受 USUGE interested 4 本題〈東京経済大>

Ｙ=AX+Bに、それぞれA、Bの座標を入れることで何を表してるんですか？イメージが分かりません

000 例題 109 正領域・負領域の考え 80 直線y=ax+6が, 2点A(-3,2), B(2,-3) を結ぶ線分と共有点をもつ ようなa, bの条件を求め,それを αb平面上の領域として表せ。 CHART OS OLUTION 直線y=ax+b と線分ABが1 点で交わる (点A,Bを除く)と き、 右の図からわかるように, 2 点A,Bは,直線y=ax+b に 関して反対側にあるから, 2点 A,Bの 含む上側にある。 y>ax+by AL b≤3a+2 [b≧-2a-3 O 解答 直線l:y=ax+6が線分 AB と共有点をもつのは,次の [1] または [2] の場合である。 [1] 点Aが直線l上の点を含む上側, 点Bが直線l上の点を 含む下側にある。 その条件は 2≧-3a+b かつ -3≦2a+b. [2] 点Aが直線l上の点を含む下側, 点Bが直線l上の点を ! その条件は 2≦-3a+b かつ -3≧2a+b 求める α, b の条件は, ①,②から, [b≥3a+2 lb≦-2a-3 または と同値である。 よって 求める領域は図の斜線部分。 ただし, 境界線を含む。 •B y <ax+b x 一方がy>ax+b の表す領域, 他方がy <ax+bの表す領域 にある。このことから,AとBの座標を y=ax+bのx,yに代入したものを考 えるとよい。なお,点Aまたは点Bがy=ax+b上にある場合も含まれること に注意する。 AL ② O yy>ax+b y <ax+b A 20 ・B \[2] YA 2 0 -3 B inf. 一方が正領域ま 境界線上,他方が負領 たは境界線上にあれに から f(x,y)=ax-y- として, f(-3, 2).f(2, と考えることもでき b平面とは, 横 の値をとるα軸, の値をとる 座標平面のこと

TOEICの文法の練習です 解いてみたので解説してほしいです よろしくお願いします

110. Each employee must coordinate with management so that ------- time off can be properly scheduled. (A) alone (B) individual (C) isolating (D) separated 111. The cost of building Juniper High Towers exceeded the contractor's original ------- by over £5,000.00. (A) estimating (B) estimate (C) estimated (D) estimator 112. At Links Fine Meats, we pride on providing the highest-quality products on the market. (A) oneself (B) yourselves (C) itself (D) ourselves 113. he is usually quiet around the office, Mr. Heineman is known for his witty and engaging public speeches. (A) Although (B) Otherwise (C) Despite (D) Instead 114. Ancient Chitimacha baskets are ------- featured in the Louisiana Museum of Archeology. (A) prominent (B) prominently (C) prominence (D) prominences 115. tea and coffee are available in the lobby for all guests of the Farrison Hotel. (A) Compliment (B) To compliment (C) Complimented (D) Complimentary 116. 117. representatives of Light Cloud Airlines, flights are rarely overbooked. 119. (A) As opposed to (B) In addition to (C) According to (D) Prior to Mr. Krause will reorganize the supply room ------- the cabinets are delivered. (A) overall (B) due to (C) once (D) soon 118. By completing employee-satisfaction surveys anonymously, workers can more state their concerns about the workplace. (A) wholly (B) openly (C) favorably (D) laboriously The final blueprints must ------- by Ms. Ito after the final draft is produced. (A) approve (B) be approved (C) approving (D) to approve 120. This sewing workshop is ideal for beginner tailors ------- professionals who would like to refresh their knowledge. (A) but (B) either (C) as well as (D) additionally 121. All posters and flyers must be removed from the bulletin board ------- 48 hours after the event has occurred. (A) within (B) among (C) unless (D) while 122. The technology used in pots by Claypol Housewares keeps the handles from getting too hot to touch. (A) warm (B) frequent (C) unattached (D) innovative 123. There are a number of free Web-based ------- that provide tips for locating information in historical databases. (A) tutorials (B) tutoring (C) tutored (D) tutor 124. The person hired must be able to adapt ------to changes in work assignments and schedules. (A) readies (B) readily (C) readiness (D) ready 125. Organizational behavior specialist Ray Majory believes a good sense of humor in a leader can increase the quality of ------- in the team. (A) declaration (B) statement (C) message (D) communication 126. Portsmouth's agricultural industry has always found ways to itself by growing different crops and finding new markets. (A) reinvest (B) reuse (C) reassess (D) reinvent 127. While some countries have made huge investments in the Caribbean lately, others have reduced -------. (A) themselves (B) theirs (C) their (D) they 128. The ethics committee cited the potential benefits of the research project while ------- its high cost. (A) acknowledging (B) to acknowledge (C) has acknowledged (D) acknowledge 129. The report describes the environmental impact on lakes and rivers of using ------- energy sources. (A) together (B) hopeful (C) regulatory (D) renewable 130. Any decorations on the ceilings or walls must be fully removed, including any material used to them to the surfaces. (A) adhere (B) attract (C) construct (D) sustain

TOEICの練習問題です 優しい方解説してほしいです 丸は気にしないでください笑

3 4 2 TOEIC Reading Part 5 Practice (2) 1 The shelves must be stocked space. (A) careful (B) carefully (C) care (D) careless The Wednesday meeting of the LTR Board is to be held on February 3 at the Telvis Conference Hall next week. (A) regularize (B) regularity (C) regular (D) regularly Knowing how to be properly prepared for an interview helps job applicants be in their job search and future career. (A) success (B) successful (C) successfully (D) succeed in order not to waste any Senior Manager Jason Macdonald hour early. (A) habits (B) habitat (C) habitual (D) habitually reports to work half an

(2)番で下から3行目の496と出たあとに何で500項が4番目であるとわかるんですか？ あと、最後に分母で32+1をしてるのは何故ですか 至急お願いします🙇‍♀️

199 数列 (1) 10 21 1 2 1 2 3 1 2 3 4 1 2' 3' 3' 4' 4' 4' 5' 5' 5' 5' は第何項か。 2 3 13 414 }| 7/16, 1/2/2 このとき第群にはん個の数が入る。 分母がんの項は第(n-1)群に含まれるから 10は第20群の10番目の数である。 第1群から第19群までの項の総数は 1+2+..+19=1/2/19(±+19)=190 21は第200項 190+10=200 (2) 第500項を求めよ。 4 | 1/2, 3/3/3 3 1515 6' 6' 1 において,次の問いに答えよ。 → 例題 27 S == n {2a+ (n-1)d} S= In (a+b) In(. 2 初:1 公差し項in

1〜5の答えってこれで合ってますか？もし分かる方がいたら教えて下さると助かります。よろしくお願いします

arrive. 3 日本語を参考に,( )内の語を並べかえましょう。 1. A: 私のスーツケースはとても重いわ。 A: My suitcase is very heavy. B: ぼくが持ってあげよう。 B: I'll (carry / for /it/ you). B: I'll carry it for you.. 2. もしお望みなら、 お金を少し貸してあげますよ。 I'll (lend/money/ some / you) if you want. I'll lend you some money if you want. 3. あなたはパーティーにボブを招待するつもりですか。 Are you going (Bob / invite / to/to) your party? Are you going to invite Bob you party? 4. 今夜のパーティーには何を着て行くつもりですか。 What are you (going / to/to/ wear) the party tonight? What are you going to wear to the party tonight? 5. アンは電車で来ることになっています。 駅まで迎えに行くつもりです。 Ann (by / coming/is/train). I'm going (at / her / meet / to) the station. Ann is coming by train. I'm going to meet her at the station.