22〜31の答えと、それぞれの問いの文の意味はこれで合っていますか？ 教えていただけると助かります🙇‍♀️ よろしくお願いします！🙏

22. Her parents ( 1 amazed Play 25. I ( playing ) at her success. 2 astonished 4 ppi T 3 marvelled 4 surprised 23. I am going on a picnic tomorrow, and I hope this fine weather ( O preserves (2) maintains 24. Someday his carelessness will ( O damage 2 rob 3 demand ) you a Happy New Year. 新年おめでとう。 give 2 hope 28. ( 26. This method of reading will ( O hurry 2 hasten 27. Could you ( 29. She ( work ) herself on the couch. (2) lies 17- worked 3 pray 4) wish (日本大) この読み方の方法はあなたの ) you much time and energy. 時間とエネルギーを節約する 3 help (4) save ⑤ better でしょう。 (亜細亜大) a few minutes to help me bake a fruitcake? フルーツケーキを焼くために 2 save 私を数け手伝ってくれませんが、 spare 3 make 4 lend (文教大) ) mea favor. Please turn off the radio. お願いがあるのですが。ラジオを消してくれませんか。 1 Ask Do 3 Take (共立女子大 ) Ⓒlaid 2 lays あなたは、彼の言うことを信じるはずがない。 Tie - lied - lying (東京経済大) (南山大) 私は明日ピクニックに ・行きます。この良い天気が 続くことを願います。 3 succeeds 4 holds him his life. いつか彼の不注意が彼の生活に損害を 4 cost 与えるだろう。 (福岡大) 4 Try 彼女はソファーに横たわっています。 3 laid ( 南山大 ) Olain 30. The man ( ) asleep all day long. IBP # O laid 2 lying 3 lain 4 lay 31. You cannot believe a word he says. He has ( ) to me again and again. 3 lied 4 lain 彼は私に再びうそをついた。 4 lay lie-lay-lain (**) ( 青山学院大 ) (*)

解析力学の問題なのですが、わかる方おられませんかね？

1. 質量 mi, m2 を持つ2個の質点系のラグランジアンが、 L= = 1/2 (m₁x² + m₂*²) - U (x₁, x2), と与えられているとする. (πは3次元の位置ベクトル)以下の問に答えよ. (i) オイラー・ラグランジュ方程式を用い, 全運動量 P = mi+m222が保存するためにポテン シャル・エネルギーU (T1,T2) が満たすべき必要十分条件について考察せよ。 (ii) (i) で得られた条件をネーターの定理によって解釈せよ. (iii) (i) で得られた条件を一般化運動量保存則によって解釈せよ. (iv) 上で考察した 「運動量保存則」 のN質点系の場合への拡張について論じよ. [(iii) へのヒント] 重心座標 X := mi+m2とr:= -22 を独立変数としてラグラン m+m2 ジアンを書き直す。

数3の問題です。激ムズで私には分からないので教えてください。yの正負が0、π、2π...と変換していくことまで分かりましたが、それ以降どうしたらいいのかわからないです。

【82】 曲線y=e"sinx ((n-1)≦x)とx軸に囲まれた図形の面積をSとする. y = "Sinx ((n 456 PA-POT を求めよ. $S₂ n=1 BELARUS ((0.9) OTHAAIE MEO CON B

よろしくお願いします🤲

31. かっこ内の正しいものの番号を記せ。 (1) I'll have my son (1 carries 2 carry 3 to carry 4 carried) the luggage for you. (弘前大) (2) I'm afraid I must have the tooth (1 pull 2 pulling 3 pulled 4 to pull) out. ( 桃山学院大) (3) There was so much noise that the speaker couldn't make himself (1 to hear 2 heard 3 hearing). (金沢大) (4) She stood by the window watching him (1 enter 2 to enter 3 entered) the garden. (東洋大) (5) I was busy (1 helping 2 to help 3 help) my mother do kitchen work. (慶大) (6) You will soon get used to (1 read 2 reading) a book rapidly. (東京芸大) (7) This job is worth (1 doing 2 to do 3 doing it). (**)

回答を解説含め教えて頂きたいです🙇‍♀️🙏

問題8 【思考・判断・表現】 (2X4=8) 次の(ア) (エ)の各対話文の AUBUL 選び、番号を答えなさい。 TREMOR TA anese persity, (7) Yuichi: Today is my grandmother's birthday.TJ EXTRINKOE Mary: Yuichi: She's seventy. voy list of enige m'I wolob sigosq ynom sinirit 1 Where does she live? 2 3 Who gave her a present? 4 (S) PHIA に適切なものを1~4の中から1つずつ ARTARSO TV stolor) -CER Setologors How old is she? 2 3 4 What's her name? GIWH pixaM traiano* ni slqos (1) Satomi: Oh, you are carrying a big box. Are you all right?b siqasi yobot stolosoto David: No. This is a little difficult. Satomi: Sure. Sviensque 1Sy snipibsn to baixo zow Mr. Smith: Tomoko: ptplegoria solom of oppo* sau of 1 Why do you want to go to the park?squa 2 3 How is the weather next Sunday? 4 Hoy o son mont blaosa boing ob3 silt erinud 1 Will you help me? enixiom 3 You won't help me. mozboinq Shoqot of amos terit stolosoris hib woll May I help you? 2 4 Do you want me to help you? 10000 tu8 bluos yen't yllonit brip brod yisy bsint yorT moqot ni ti (¹) Steve: What are you going to do next Sunday, Hitoshi? Hitoshi: I'm going to play baseball with my friends in the park. Steve: I see. Yob Hitoshi: Well, I'll do my homework at home. we smood stplooors, WW* ollsH yoteid eti tuoda of bstnow briD stalocoris How many students are there in the school? Is it easy for your friends to speak Chinese? How will you go there? Have you ever been there? SVIENSORS LITE SDN 11 nonpitosino* 9/102 When will you play baseball? What will you do if it rains? ant gr (1) Mr. Smith: Tomoko, I hear you are going to visit China with your friends this summer. Tomoko: Yes, Mr. Smith. We are going to visit a junior high school boins blov in China. ai doinW It is my second time to visit the school, but it is the first time for my friends. I made a lot of Chinese friends last year. So I'm looking forward to seeing them again.

回答を解説含め教えて頂きたいです🙇‍♀️🙏

問題8【思考・判断・表現】 (2X4=8) 次の(ア) (エ)の各対話文の 3x0 選び、 番号を答えなさい。 HORS (7) Yuichi: Today is my grandmother's birthday. Mary: Yuichi: She's seventy. 1~4の中から一つずつ AXUCE OST) -NEER ŠPEJAT JSY uoy list of onion m'I wold ob alqosq ynom nint I Calplopori si bo od movs olish 1 Where does she live? 2 How old is she? 3 Who gave her a present? 4 ynoteid eti tuodo (S) What's her name? Why is chocolate mort trasllib ti stoloporls silm of oppo* sau ot batante osixeM (1) Satomi: Oh, you are carrying a big box. Are you all right? b slqos David: No. This is a little difficult. Satomi: Sure. EATONKON the first Japanese persoly siano ni siqos yobot stplooards saviensis isy DD snipibsm to brix o zow sqomus montslqosa boinsg ob3 silt erinud Snoqot of smoo tarit stolosorts bib woll 1 Will you help me? May I help you? 2 emixom 3 You won't help me. moz, bainqilis4 Do you want me to help you? sorls triguend tu8 bluos varit vllonit bad bror vsv bsint yanT noqot ni ti slom ot batnow bad stolosoris colate aviensqxs llite 20w ti pooltootroo* 9/02 1 Why do you want to go to the park? qua 2 3. How is the weather next Sunday? 4 () Steve: What are you going to do next Sunday, Hitoshi? Hitoshi: I'm going to play baseball with my friends in the park. Steve: I see. yab Hitoshi: Well, I'll do my homework at home. we amosad stolo Mr. Smith: Tomoko: Tomoko: Yes, Mr. Smith. We are going to ** in China. insianD (1) Mr. Smith: Tomoko, I hear you are going to visit China with your friends this summer. a junior high school ing to visit blow 9††A lay baseball? Loy When will you play What will you do if it rains? inain W 1 2 How many students are there in the school? Is it easy for your friends to speak Chinese? How will you go there? 3 4 Have you ever been there? It is my second time to visit the school, but it is the first time for my friends. I made a lot of Chinese friends last year. So I'm looking forward to seeing them again.

ch垂直abになるのはなぜですか？？ よろしくお願いします🙇

例題68 解 VE OABCがある。 頂点0から, 辺AB に垂線 OH を引く OCHAC, OC⊥BC で, AB=2,OC=√の三角錐 と, OH の長さが3になった。 このとき, 四面体 OABC の体積を求めよ。 OCHAC, OC⊥BC より. また, OH⊥AB よって, 三垂線の定理から, OC⊥平面ABC ...... ① CH⊥AB CH=√32-(√6)=√3 ①より, OC⊥CH であるから, したがって 求める体積は、 1/12×△ABCXOC=1/3×112/3×2×√3×√6-√2 B

文法の置き方がわからないです。 分かる方教えて欲しいです 答えもおねがします🥲

復 1 宮 TATA 次の( )内から適するものを選び,○で囲みましょう。 (1) (When/Because / If ) I got up, it was raining. (2) Please give (I / my/me) some advice. アドバイス 2 (3) His name is Hirotaka. We call (he/ his/him) Hiro. (4) I'm sleepy (because / when/that) I went to bed at two. 眠い 次の( )内の語句を並べかえて, 英文を完成しましょう。 得点 100点 4 接続詞など 【各5点 計20点】 0.50 【各5点 計30点】 (1) 私は, 数学はおもしろいと思います。 (math / that / interesting / think / is ) 120 Ⅰ thinkis that math interestin. 数学 : math おもしろい: interesting (2) もしひまなら、 私を手伝ってください。 ( are / help/you / me / if / free ) Please youis you are help me free. ひまな : free (3) 彼女は彼が先生だと知っています。 (he / knows / a teacher / is ) knows is heateacher. (4) 彼女は私に彼女の日記を見せてくれました。 She showed 日記: diary (5) そのニュースは私たちをうれしくさせました。 Us made the news happy. ( diary / her / me / showed) (us / the news/made/ happy (6) 私は彼女に自分の名前を伝えました。 ( my / I / told/ her/name) I told her my name..

全部で申し訳ないんですけど、答えを確認していただけないでしょうか？

す語が問わ HULL 約束 予想問題 次の (1) から (6) までの ( から一つ選びなさい。 答えは別冊1ページ ※右ページの筆記問題の英文は、 CDには収録されていません。 (1) Did you read the ( ) about global warming in today's morning paper? 1 article 2 permission 3 position 4 author Steve, you should hurry up, or you'll be late for your () with the dentist. 1 accident 2 promise 3 receptionist 4 appointment に入れるのに最も適切なものを 1 2 34 の中 (3) Lisa was not able to finish her project on time in spite of her ( ). 1 nature 2 effort (1) global warming: 1 dentist: E (4) Why don't you do (4) Stop making ( 1 decisions 2 apologies 3 excuses receptionist : 3 habit 4 statements Talk (5) Someday solar power may take the place of oil or coal as the most popular ( ) of energy. 1 origin 2 market ). Why don't you just say you're sorry? permission: 4 productX 3 custom (6) I'm so excited about our trip to the Middle East because I have never been to that ( ). 1 region 2 location (2) □ hurry up : 急ぐ (3) on time 時間どおりに 4 source 3 expression 4 environment □ be late for ~ ~に遅刻する in spite of ~:~hhhGT

l'm sure that they help many peopleなのに l'm sure that you will like the bookではwillがつかわれるんですか？