整数解を求める方法でこの三つの方法があると思うんですが、どの場合どれを使ったらいいのか見分ける方法はありますか？

460 第8章 整数の性質 例題 253 方程式の整数解 (1) 次の不定方程式の整数解を求めよ. (1) 2x-3y=21 [考え方 解答 Focus (②) 2x-38-212550305210形という関係があるに素であることを利用す。 (2) xとyの係数, 539=52×10+19 という関係がある。 (1) 2x-3y=21 より, 2x=3(y+7) ......① 2と3は互いに素であるから, xは3の倍数とな る. 撥数でかいの できたら、ユークリットやる したがって, kを整数として, x=3k とおける . これを①に代入すると, 2×3k=3(y+7) 2k=y+7 より y=2k-7 よって, 求める整数解は, (2) 52x+539y=19 x=3k, y=2k-7 (kは整数) (別解) 2x-3y=21 より, y=²x-71071081/ete yは整数より, xは3の倍数となる. したがって, x=3k (kは整数) とおけ, y=2k-7 よって, (2) 539-52x10+19 x=3k, y=2k-7 (kは整数) bibe これを与えられた方程式に代入すると, 52x+(52×10+19)y=19 NJIMACARO 倍数となり, んを整数として 整理すると 52(x+10y)=19(1-y) ...... ① 5219は互いに素であるから, x+10yは19の x+10y=19k, すなわち, x=19k-10y これを①に代入すると, 52×19k=19(1-y) 52k=1-yより y=-52k+1 よって, 求める整数解は, x=539k-10,y=-52k+1 (kは整数) 三習 次の不定方程式の整数解を求めよ. 253 (1) 2x-5y-25 * (税込) 2000 (2) 48x+491 ** 不定方程式 ax+by=c (aとbは互いに素) で, aまたはbとcが1より大きい公約数をもつとき, (xの式)=g(yの式) (pとgは互いに素) と変形する xが3の倍数でないとき yは整数にならない. 77 xとyの係数の大きい方 の数 539 を小さい方の数 52で割る. y=-52k+1 より, x=19k-10y =19k-10(-52k+1) =539k-10 181 74-10

答えがないので正誤判定お願いしたいです。ちなみに、オレンジで囲ってるのが私の回答です。 最後（11）丸をし忘れましたが答えは2番にしました。 それとオレンジで囲ってみにくくなった英単語などは隣または近くに書きましたが，わからないとこあれば指摘ください。

⑤ 空欄の入る最も適切なものを選択肢から1つ選びなさい。 (1) What nobody would ( ) suggest is that women be told to stay at home dare (2) Scientits reported that monkeys had been seen ( V S use (複数扱 (3) The police ) the murder case at the moment. are investigating investigate may (5) You can avoid ( &n having M (7) My wife and I ( fear to be taking advantage of 2 have used 3 to aking advantage of by (6) I like watching Star Wars movies, but I ( had to cancel (4) I don't know where their wedding i going to be held, but if they decide on Kyoto, I definitely ( ) go. Zwill (9) Soccer ( (10) It ( 2 might has been got to know (8) All trains stopped (y s stopped (yesterday (11) I'd rather ( had to have 3 hope 2 had cancelled ) keeping yourself well informed and taking a few safety precautions. being taken advantage of by and the meeting ( 2 should well for you not to go out ) some simple tools just as human beings do. using Investigates ) so late at night.. ) each other since we were in high school) have been knowing 3 hay known 3 need 3 will be having 4 being taken advantage by ) enough of them by the time this one ends. wish C had to be cancelled 4 to using IS Ad 4 investigating can well ) be the world's most popular sport: however, baseball is more popular in the US may well ) a few days before we know the full results of the medical checkup. should have been 3 was you didn't go out willl have had 4 know had been to cancel 4 must well will be

大門7の（4）の問題が分かりません💦 一応途中まで解いてみたのですが、これ以上進めず、答えはあるのですが、解説がないので困っています… どなたか教えていただけませんか( ；∀；)

4. 以下の不定積分及び定積分を求めよ。 (1) (3t-1x2t+1)dt (2) S²(x²-3x²+3x−1)dx (3) ₁(3x+5)dx-S*(3x+5)dx (4) |x-1|dx 5. 等式f(x)=x+2x+Sof(t)dt を満たす関数f(x) を求めよ。 【各3点】 6. S. f(t)dt=-2x2+5x-2 を満たす関数f(x)と定数aの値を求めよ。 【4点】 【4点】 【各4点】 7. 以下の部分の面積を求めよ。 (1) 曲線 y=-2x2+8x-6とx軸で囲まれた部分 (2) 2つの放物線y=2x²-6x+4 と y=-x2+6x-5で囲まれた部分 (3) 曲線 y=x 3-32+2xとx軸で囲まれた部分(2箇所の面積の和) (4) 曲線 y=x-xと曲線上の点(-1,0) における接線で囲まれた部分 1 3 4 1 5 2 最大27] 金 会 (x=3)] △ 最小 -12」 (x=-2)｣△ } 4 (3) 12x320x-1 7 (1) 14 (2) (1) 2012/11+CCは積分定数) (2) +CRIA 8-3 75 2 6 f(x)=-4x+5 A 8. } -3y²-1 (2) -1≤k≤1 44 f(x)=x2+2x-9 H (3) (3) I 2 1 a=1/₁2 4mr2 「=」 なし N/G なし A 23各 (4) 27 4

390(2) x(x＋1)²を因数分解したらx(x＋1)(x＋1)なので 2/xー2/x+1＋1/x+1になるんじゃないんですか？なぜ模範解答のマーカー部分に2乗がついてるんですか？

ries.. (9) 20200 *390 (1) 次の等式が成り立つように,定数a,b,cの値を定めよ。 3x+2 x(x+1)2 b a C ² + x + 1 + (x + 1)³² = X 3x+2 (2) 不定積分 x(x+1) 2 dx を求めよ。

不定詞の受動態と不定詞の受動態の完了形について説明してください;~;

関係詞を使った分で80単語以上で文書をかかなきゃいけません。なにか書きやすいテーマありますか？

Express your idea ~ Writing Rules You have 2 themes ● Describe about each theme ● Essay length at least 80words ● Hand in this report by June 27 ☆6/27まで 416 Theme 2: The Information Society L2F研究しつ 少なくともに Refer to the textbook on page 41-44 (関係詞を意識して使ってみよう) words Take za wa

5,8,11,14,15の用法が分からないので教えてください 5 形容詞的用法 8 副詞的用法 11名詞的用法 14名詞的用法 15副詞的用法 ですか？？？？

1. I learned that it is important to communicate in English as much as possible. Grammar-A: 以下の文中の不定詞・動名詞の用法は何か、 解答欄で答えなさい。 4. This was their way to show their respect for him. 3. To do these thigs, I need English and friends! chance to learn. 2. A mistake is a 5 His workers hated the idea of wearing the same clothes as each other every day. 6. To survive there is difficult, but one plant manages very well. 7. The best way to describe it is, "a natural water bottle." It stores water, and the liquid it produces is safe for people to drink. 9. Also, it is easy to grow 10. It is used to make food for farm animals, and as a fruit and vegetable for humans to eat Indian people also used it to produce skin cream, soap, and even medical products. 12. Showing all their art is impossible because they don't have enough space. 13. They only have room to show about 10% to 20% of their art at any given time. 14. You can enjoy looking at it from all angles. 15 It's a new way to experience art. Pera Adtr HARE

答えを教えてください！ よかったら，根拠も教えてください

la vitbl Questions 4-7 refer to the following letter. January 10 Ms. Erin Murphy Customer Service Department Westcoast Airlines Major Miles Program 345 Brook Street Dallas, TX 75218 Dear Ms. Murphy, As per your request during our telephone conversation on January 8, I am sending you Los Angeles International Airport last December. Please note that my ticket was upgraded itinerary and ticket number for my recent roundtrip flight from JFK International Airport business class with a Major Miles Gold Class voucher and should therefore be eligible f full business class mileage credit. 62 Section Il over 15 years. I must confess that I find the new restrictions to your flight voucher pla I am a Gold member in the Major Miles program and have been a Westcoast customer 1 genuinely confusing. I fail to understand why the burden of proof for my mileage cred rests with me. Shouldn't this information be on your ticketing computer? This was my itinerary. MD My ticket number was #YB42565697. Departed JFK, December 22 at 10:20 for LAX Returned to JFK from LAX on December 29 at 16:40 My seat number was 14B. 7B My Major Miles number is # 04356721 (Gold Card). I sincerely hope that this issue will be resolved quickly as I am counting on my miles eame during this trip to upgrade my hotel room next May. Thank you very much for your attention in this matter. Sincerely Yours, Jarrod Watkins Jarrod Watkins 4. 5. 6. What does Ms. Murphy do? (A) She makes airline reservations. (B) She deals with unhappy customers. (C) She issues new tickets. (D) She upgrades people to business class. What is the purpose of this letter? (A) To upgrade his ticket to business class (B) To buy a flight upgrade coupon (C) To complain about his seat reservation (D) To receive more mileage credits How does Mr. Watkins feel about the new frequent flier program rules? (A) He would like them to be simpler. (B) He believes they are unfair. (C) He finds them to be convenient. (D) He hopes that they will benefit hold Card members more. Which of the following is NOT mentioned in the letter? (A) His ticket number (B) His frequent flier level (C) His credit card number (D) His flight information inq M:8 big en enthovenot cold w lar hud,mq 01X in jord is di Hal Unit 2: Letters, E-mails, & Text message chains 63

この問題の解き方を詳しく教えてほしいです🙇

*3402-2x=3のとき, 2+2 * の値を求めよ。

この問題の答えは、私の解答(3枚目)ではダメなんですか？ 定数が出てきたら、積分定数の方にまとめないといけないんですか？ お願いします！

△ 447 次の不定積分を求めよ。 (1) * Sxlog(x² +1)dx