答えは0になりますか？ また、sinで積分した場合は-2A/πnになりますか？ 途中式を教えて欲しいです

ao = 1/1 ST ( 2 A + - A) cos (nwot)dt T

答えと違うやり方で解いたのですがこれでもテストで丸もらえますか？？

よって 31 (1) すべての自然数nについて, 次の事柄を証明すればよい。多 「42n+1+3n+2は13の倍数である」 [1] n=1のとき ① 42n+1+3n+2=43+ 33 = 64 +27=91=13.7 よって, ① は成り立つ。 [2]n=kのとき,①が成り立つと仮定すると, mを整数として 42+1+3k+2=13mを変形 28 40を変形すると と表される。n=k+1のときを考えると 42(k+1) +1 +3(k+1)+2=16.42k+1+3.3k+2 P=8+ BOTHA TE 数列 (4.v1 +20) 16.42k+1+3(13m-42k+1) の比較 = 2=-=13(42k+1+3m) 42k +1 +3m は整数であるから, 42(k+1) +1 + 3(k+1)+2は13の倍数とな り, n=k+1のときにも ①は成り立つ。 731 EDSEL DEHA IR 1

ベクトルの基礎問題です （2）の黄マーカー部分 三角形BOPにおいて直線BQは頂点Bにおける外角の二等分線であるから、OQ:QP=BO:BPになる理由がわかりません

*351 (s) 三角形 OAB は辺の長さが OA=3, OB=5,AB=7 であるとする。また, ∠AOBの二等分線と直線AB との交点をPとし,頂点Bにおける外角の二等 分線と直線 OP との交点を Q とする。 N OF OA, OB を用いて表せ。 また,OP| の値を求めよ。 (2), OB を用いて表せ。また,Q の値を求めよ。 [23 北海道大]

なぜこの英文がこの和訳になるのでしょうか、特にasがどのような役割をしているのか分かりません。

英語 (自動検出) ↑↓ 日本語 A trailer for the feature was played in court showing Makintach stalking the halls of justice in high heels as grim details of the footballing legend's demise were relayed. × % 裁判所で、 マキンタチがハイヒールを履いて法廷の 廊下を徘徊するシーンを映した予告編が上映され、 サッカーの伝説的選手の死の悲惨な詳細が伝えられた。

(1)は分かりましたが(途中式は省いています) (2)が分かりません( . .)"

y 0 α A=TER2 α R2a = 2πC 2 x6= = R > A →x y G = (1)図の中心座標(xG,y6) SxdA SBSorcosordodr R2a12 2Rsind 3a SydASiSorsinardodr 2R(1-cosa) = A R2a12 3a (26,y6)= 2R(1-cosa) (2)中心座標が(R,晃)であるとき 30 扇形の角度αをラジアンで表そう 2R sina 3a

19番以外の解説してほしいです🙇🏻⋱

doing e TOEIC READING Part 5 Incomplete Sentences AnswerHub A word or phrase is missing in each sentence. Select the best answer to complete the sentence. x 13. He promised (A) not be (C) not being × 14. I want you (A) finish (C) to finish X 15. Please let us (A) know ✓ (C) to know x 16. They made her (A) sign (C) signing x 17. This book will help us (A) will understand (C) understanding 18. I don't mind (A) drive goin (B) not to be late again. (D) being not the job by 10 tomorrow morning. (B) finishing (D) will finish if we can help you. (B) knowing (D) will know F text Que D Yo A B D for B eithe the contract against her will. I loo (B) signs (D) to sign B C help+N+ do Yours more about linguistics. Gear (B) understand D. Human (D) understood B if you are tired. ()(B) to drive (D) driven (C) driving 19. Would you like something (A) drink (0) (C) drinks ✓ (B) drinking (B) (D) to drink smas (A) C A B (A) to be (C) has been 20. Richard was a great tennis player and he lived 100 years old. (B) being (D) to have been A B (A) ta (B) p (C) pe (D) ac 34 STEP-UP SKILLS FOR THE TOEIC® L&R TEST: Level 1-Basic- (A) Bet (B) Eith (C) Neit (D) Both

123の答えが選択問題でNeverthelessです。文脈的に逆説の語が入ることは分かっていたのでalthoughにしたのですが、なぜ同じ逆説の語でもalthoughではなくneverthelessなのですか？

Questions 121-124 To: Emily Pearson, entertainment writer From: Sabrina Young, editor in chief Date: February 26 Re: Upcoming Interview Hi Emily, ここも チェック! 同様 ま & esigen (A) Thanks for agreeing to cover the exclusive story on Hugh Macaulay. There has been one change, however, to the schedule I already e-mailed 121. you. Mr. Macaulay's manager has informed me------- he will no longer be available on Friday as discussed. requested that the interview be 122. brought forward to next Tuesday. I realize this does not give you much time to prepare. I'd like you to send me an overview of your* interview questions by the end of the week. ---- 123. ----. If 124. you have any questions, I will be in my office for most of the afternoon. Sabrina ま :

解けて、答えもあっていましたが、図的にどこの面積を求めているのかいまいち分かりません。 何となくで解いてしまって、はっきりなんでこうゆう過程で問題を解いているのかを知りたいのでわかる方教えて欲しいです。

[1] ボーダー4 ガンコス((スーパーポ1) 球 7² = 4-(x²+1) 7 ± 4-12) U 上下対象からで、上げ)だけ求めて、最後に2倍する(一番分) 非、換で対称だから、Y20を求めて、2倍する(20分) L 7=16-11-4-(x²+ y²), (2.71EP) (P= (2-1)+ y^≤1120) これについてまして、 最後に9倍! 2 ―(4 (キー=少)(2)(イー(=y(4- S = √o√ x² (4-(x²-j³)"' + y² (4-(x²+1) +1 Jody 2 √4) - We Jeans Lady = 25.10 r 14-12 Lo = 2)² (2/9-12 -(-s) ] 2-0 to 1 2 4-12 200 (21sm01-2)do -41 (15-01-1) 20 - 0 ₤ + \ sino 1 = Sim +2 = -4/6² (Sino -11 =-4[-cas0-01 ・4(-1+1)= =2x-4 4S=8a-16 =8(1-2) サ Lady 4-(airys/ 1 2 Sa-tad y=rsug 020分のと -EX'ACT. 虫考えた Sore2cd 0≤0≤1 Mary's #1 = &== For = 2x=" 94-1 → 261 +26-0

この問題全ての解答教えて欲しいです！丸付いてるのは気にしないでください！

Let's Try! Part 5 空所に当てはまる選択肢を選びましょう。 1. We CheckLink ------- that gold is a sounder investment than stock or bonds due to the current currency crisis. (A) require (B) deliver (C) believe (D) press 2. Pacifico Company's new business plan looks like it will have a their revenue. (A) retiring (B) relative (C) collaborative (D) positive influence on 3. The noise of the construction in the warehouse was so loud that the client had to ------- himself three times before he could be heard. (A) recall (B) repeat (C) write (D) register tuo 4. The job which we had asked the technician to do was not done to our total -- (A) satisfaction (B) restoration (C) feedback (D) reference ------- to do in one operation. 5. The medical procedure used by the surgical team is too (A) sufficient (B) real (C) perfect (D) complex 6. It is imperative that the ------- be delivered before our client arrives at the office around noon. Too (A) package (B) manufacturer (C) mailman (D) currency aldesing (A) 7. The newly hired employee seems (A) previously (B) expensively capable of meeting our work expectations. (C) entirely (D) contrastively 8. The scientist's theory has been thoroughly tested and ------- to be reliable by many independent laboratories. (A) studied (B) proven (C) dedicated (D) combined (8) Frogs (A) aften med and

かっこの中が分からないです。

Exercise Task 1: Look at the following. What word goes into the space? The same word goes into the spaces for both sentences, a and b. 次の各文を読んでください。 空欄に入る単語は何ですか。 aとb、両方の文の空欄には同じ単 が入ります。 a. Jim presented her boss with a list of. s from the staff. 1) b. There is a lot of _______ for larger mobile phones. 2) a. Where do you do your grocery. b. Please put the __________ in the trunk. ? 2) 3) a. A short at the end of a paragraph can be better than 3). a long one. b. The judge gave the murderer a life 4) a. - generally starts in March in the Northern 4). Hemisphere. b. There's a natural on this mountain. 5) a. You don't need to the bell. Just come in. 5) b. Can you me on the telephone tonight? b. My 6) a. These books are Jane's ____. 7) a. We have a ________ to help each other. 8) a. Yuki often wears a straw 6) b. The realtor came to assess the value of the 7) is cleaning the toilets. in the summer. 8) b. I have to wear two _s, my teacher __________ and my researcher.