至急❗️❗️答えがR1212=r二乗cos二乗u1になりません。どこが違うのでしょうか？（球面の第二基本量）

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赤で線のひいたところがわかりませ

演習問題 17 1 =2cos@ (0°<0<90°) について, 次の問いに答えよ。 (1) えは虚数であることを示せ。 (2) |2| を求めよ。 (3) 2を極形式で表せ、 ただし, 0'Sargz<180° とする. (4) 2"+をnと0で表せ。 1

ここの問題の解き方を教えてください

| 薬剤 Aと薬剤Bが合わせて 400 ml ある。 まず薬剤Aを1分間に4 ml の割合で滴下した後、直ちに薬剤Bを1分間に6 mlの割合で滴下 したところ、輪液に 1時間 20分を要した。 A、 Bそれぞれの薬剤の量を求めよ。

英検に向けて英作文を書きました 添削や「こうしたらもっと良くなる」という点がありましたら、ぜひコメントよろしくお願いします🙇‍♂️ 客観的な意見を取り入れて、今後さらに良い作文を書きたいと思うので、ご協力お願いします

Topic Agree or Disagree: Help from the local community is crucial for raising children POINTS → discipline、safety、working parents、privacy 「肯定意見」 Iagree with the statement that help from the local community is crucial for raising children. There are two reasons to support this contention: the promotion in working for parents and the respect of discipline. These days, almost all the companies in Japan are facing the problem which is how they treat their employees who have children. In fact, these people, especially women, have difficulty in working. What the matters worse, many of them are forced to quit their job because of raising children. To deal with this problem, it is necessary for the local community to help parents raise children. Moreover, help from others will lead to promote the rate of women who continued working after childbirth. In other words, thanks to help from the local society, Japanese companies can improve their working environment. In addition to this, children will be sociable and polite if they are taken care of by another person of family. Also, children will realize the importance of cooperation with others. For these reasons, I strongly believe the local society should do more for parents who raise children.

丸つけたところ答えです。 どれか一つだけとかでもいいので、 問題の解説お願いします！！

I 各問に答えよ。 (32点) C DG。 lon 8 T マ-Dとセ に において, 空所を満たすのに最も適切なものを,それぞれのA~Dのうちから 問1 9 16 1つ選べ。 a C へしたがいい (Shonld) fo hod better Id better have' it I have a sore throat. gp peu を B 9 A checking to be checked C /to check D checked 21 doM b etM bs tM married for ten years when their first baby arrived. Tom and Mary n 10 A had B had been C have been D have uGm down the stairs. 11 He came 9 w sdv ahnds bl to have run D A having run B to run C)running 12 You'd better money to John. He won't return it to you. i D do not lend A not to lend B not lending C not lend sdhs avon tnde you because you broke your promise. inirft 1 Beth is angry ST at with 13 A B on C to D for 0 as pom 2om Oficer: “May I see your passport?" Visitor: 0 o 14 omge B A It is kind of you You are welcome C/ Here you are D Don't mention it dt Ro d 9big avol sar zdT fa9iblida uoて is apert on UK 20n AらL icp 1G e I am afraid my watch is five minutes 15 sldshotmoo j A rapid C fast e B after D Swift 0eo2 8WgtinngL MG honGLA DIDCP 1 We found a truck Odbure dbua and go10 bsaingrua na ms 16 on its side in the middle of the street after the hurricane. T COLpaho TG Spo A lied B lie C lies D lying 0ods do日n 0 sm blod 2sd gere ncra o AC bradaun hhohdok innsl oloH196 latoM 0liniol a bad noid egona

TOEIC正解、よろしくお願い致します！

Questions 5-7 refer to the following letter. a new member to the club To welcome confirm To | continued membership Mr. Leonardo Harper 571-45 Heiligenstàdter Street Vienna 1190 の) December 15 Dear Mr. Harper, Thank you for your continued support of the North Vienna Concert Hall We are writing to confirm receipt on December 14 of your North Vienna Club membership renewal payment for next year. Alnterviews with musicians To celebrate our 30 year anniversary, we are happy to announce some new special benefits for club members. Starting next year, club members can receive a 10% discount on any concert held during the first three months of the year. Call our ticket office at 1-5123098 and use the promotional code CZ1713 when you order your tickets. Please note that discounts only apply to pre-orders placed during this special period. IC) Commentaries on 0 The concert schedule performances As always, members will receive our monthly magazine, North Vienna Club, which features concert reviews and interviews with various artists and musicians, together with news and schedules of all of the events at the concert hall. Next month's issue will feature a six-page interview with the world famous conductor Franz Minsky. Once again, we thank you for being a North Vienna Club member and for supporting arts and music in our community. Sincerely, Roy Pophins Roy Hopkins Director North Vienna Concert Hall の の)

分かる方教えていただきたいです。

3 GRAMMAR A Complete the sentences with was, were, in, or ago. Alan Turing (1) a computer scientist. He born in London over 100 years (3) 1938, he got his PhD from Princeton University. During World War II, he (5) . a code breaker for the British government. Thousands of people (6) saved because of his work. Turing and his coworkers (7) heroes. Turing died (8) 1954. B Make the sentences negative. Example: My grandfather was famous. My grandfather was not famous. 1. The Baker sisters were musicians. 2. Henry Ford was a doctor. 3. The sky was clear last night. 4. The children were excited. 5.I was confused by the first question. c Complete the conversations with was, wasn't, were, or weren't and the subject, if necessary. Example: A: Was Jenna in class yesterday? B: No, she wasn't She at home. was 1. A: Steve and Julia at the beach on Saturday? B: No, They at the library. 2. A: Carlos at the pool last night? B: No, He in his office. 3. A: your brother in Los Angeles last year? B: Yes, 4. A: Mr. and Mrs. Parks in California on vacation last week? B: No, They in Rome. 5. A: you B: No,

多様体の接空間に関する基底定理の証明です。g(q)=∫〜と定義した関数を微積分学の基本定理を用いながら変形してg(q)=g(0)+∑gᵢuⁱと導出するのですが、これがうまくいきません。 自分は、g(q)の式をまず両辺tで微分して、次に両辺uⁱで積分して、最後に両辺tで積分... 続きを読む

12. Theorem.If{ = (x', , x") is a coordinate system in M at p, then its coordinate vectors d, lp, …… 0,l, forma basis for the tangent space T,(M); and D= E(x) 。 i=1 for all ve T(M). Proof. By the preceding remarks we can work solely on the coordinate neighborhood of G. Since u(c) = Othere is no loss of generality in assuming ど(p) = 0eR". Shrinking W if necessary gives E(W) = {qe R":|q| < } for some 8. Ifg is a smooth function on E(W) then for each 1 <isndefine og (tq) dt du g(9) = for all qe {(W). It follows using the fundamental theorem of calculus that g= g(0) + E&,u' on (W). Thus if fe &(M), setting g = f。' yields f= f(P) + Ex on U. Applying d/ax' gives f(p) = (f /0x)(P). Thus applying the tangent vector e to the formula gives (f) = 0+ E(x'(p) + E Ap)u(x) = E(Px). ず ax Since this holds for all f e &(M), the tangent vectors v and Z Ux') d,l, are equal. It remains to show that the coordinate vectors are linearly independent. But if ) a, o.l, = 0, then application to x' yields dxi 0=24 (P) = 2q d」= 4. In particular the (vector space) dimension of T,(M) is the same as the dimension of M.

解答を持ってなくノートにに書いたのがあっているのか不安なので皆さんの解答を参考にしたいです

they looked very gtired this morning. 口03 Although Mary and I are , from different ethnic backgrounds, I ®have■ 口02 Since the,committee 。 discussed about the various proposals all night, 革文には誤りが1箇所ずつある。番号を指摘し, 正しく直しなさい。 EXERCISE B reached。at Washington, we had to find a bus to go to the hotel の 口01 When that we were going to stay。at. 4 〈亜細亜大) 2 3 の no bed bpr(京都外国語大) nchange 2 decided to marry a with her. の 〈中京大) 08 口04 The next time you see Sarah, please g say her to agive me a call sSometime. 〈防衛大学校) gmot\ bedneyenq \ ed Chas anaywe 口05 In Japan, o entering a college is 。 more important than graduating one. く上智大) 80口 ad to make up t, mrisd deew fasl eonnie (griimud 口6 After a 。tiring day, John laid down to rest and fell asleep, and continued to sleep 。 until after midnight. の 2 〈京都外国語大) TO口 udents car 191l u0 ologs An old man ,in ragged 。clothes was a approaching to the gcrying girl. ind it difficultto treaktst 2 〈桜美林大) Chldren all over the world believe Santa Claus, whose name is の 2. 大阪 derived from aamispronunciation of Saint Nicholas. 〈学習院大) 4 aoue の believe in Would y nd bring dn auu 10 K g動詞の語法

まるをつけているthatがよくわかりません。 ついでに線を引いているlessは副詞ですか。

and even of that proper pride which enables a man to hold intellectual achievement, of the attainment of independence The aggressive part of human nature is not onlya neces f dh 70 例題 28 (Withou It is also the basis of sary safeguard against savage attack. without は the( and even of that proper pride which enables a man to hal に,形 his head high amongst his fellows. Without the aggressive マでつ active side of his nature man would be even less able than he the is to direct the course of his life or to influence the world これ around him. bsor Dponol く神戸大>