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TOEIC・英語 大学生・専門学校生・社会人

自分の回答があっているか不安なので、4第答えて頂きたいです。 自分の回答はこちらには見にくくなってしまうため書いていません。

Working with words 1 Complete the review of a hotel. Use the answers to complete the puzzle and find the European city where the hotel is located. HOTEL REVIEWS This first-class hotel and conference centre welcomes guests from all over the world. Its 1 facilities are second to none. There are 300 en-suite rooms and five apartment suites. For business guests, it has ten meetings rooms, two of which are big enough to be used as halls. 2 The hotel can also organize events such as guided 3 around the town centre for conference 4 and hotel guests who enjoy a bit of 5 For food-lovers, the four-star restaurant serves regional 6 every evening. All in all, this is a top-class for business and for pleasure. 7 6 1 A fa 0 il i t 1 e S 2 Replace the words in italics (1-8) with the phrases from the list. Add a pronoun if necessary. you hotel? look around meet up with show someone around 3 freshen up eat out pick someone up check in drop someone off Pedro It's difficult to park here. Can I stop and leave drop you off in front of the 1 Sabrina Sure, I'll register 2 and then I'd like to have a wash, and change my clothes 3 Pedro If you like, tonight I can give you a tour of 4 the old city. We could by eat in a restaurant 5 the port. Sabrina That sounds great! I'd rather walk about and See 6 the city than stay in my hotel room. Pedro I'll collect you 7 8 8.30 p.m. We'll see Alberto and Maite in the main square. at Business communication 1 Put the words in the correct order to make expressions. 1 meet person / it's / nice / to / you / in It's nice to meet you in person 2 have / did / finding / you/ any / trouble / us? 3 worry / signing / don't / about / in 4 through / programme / I'll / run / today's 5 this my / come / way / to / office 6 need building / you'll / this / enter / badge/ the / to 7 reception / sure / make / in / at / you / sign 2 Raymond Roberts has an appointment with Janet Rose. He has just arrived at HBG premises. Complete their conversation with the phrases from the list. let me take your bag can I get you a drink Welcome to HBG publishing I thought you could catch up again how was your journey You'll need this Make sure you 1 Raymond Good morning, I'm here to see Janet Rose. Janet Hello, I'm Janet. ¹ Welcome to HBG publishing. Raymond It's nice to meet you in person. Janet Likewise. So, 2 Raymond Well, there were traffic jams on the motorway and I got a little bit lost in the industrial park. Janet Don't worry. That happens to everyone. Anyway, 3 - I'll store it in my office. Raymond I'll hang on to it if you don't mind. It's got all my stuff in it. Janet Well, if you change your mind just tell me. And 4 Raymond Thanks. I'll have a cup of tea, please. Janet Sure, I'll just get that for you in a second. First of all, I'll run through the schedule. 5 start by meeting Karen Rankin this morning and then we'll 6 at lunchtime. Raymond OK. And will I see Malcolm Briscoe? Janet Yes, in fact he's joining us for lunch. One other thing. security pass. at all times. 7 It's your 8 wear it

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数学 大学生・専門学校生・社会人

大学の「微分積分」で出題された周波数の課題です。 (1)だけでもいいのでわかる方いらっしゃったら教えてください。

2 以下の説明を読み、 設問 (1) (6) 答えよ. 授業中に周波数を少しずらした二つの音を発生させて、唸りが聞こえるこ とを実演した.この現象を数学的に記述してみよう。 音とは、空気の振動が空気中を伝播して耳に届くことで認識される自然現 象である. tを時刻 (単位:秒) として、振動がy=sin (ct) (cは定数) の 形で表される波を正弦波と呼ぶ。 正弦波の周波数 (単位:Hz=1/秒) とは 「波が1秒間に何回振動する か」 を表す量である. 例えば sin (2t) は 「周波数1の正弦波」 であるが、 この音波は人間の耳には聞こえない。 人間の可聴域はだいたいf=20Hz 15,000Hz であると言われている。 (1) 周波数 f(Hz) の正弦波を時刻t (秒) の関数で表せ。 (ヒント: f は正の整数であると考え、 t=1のときに sin の中身が 「f回回転 「した角度」を表すように定数を定めれば良い) さて, 音波は重ね合わせの原理が成り立つ。 つまり、二つの地点から発せ られる音波がある地点Pでそれぞれ a(t), b(t) で表されるとき, それら を同時に発生させると P では a(t)+b(t) という音波となる. いま周波数 f=400Hzを中心として、そこから前後に1Hz ずらした二つ の周波数 f=399 Hz, fz = 401Hz を考えよう。 (2) 周波数ffzの正弦波を同時に発生させたときに観測される音波 a(t) を二つの三角関数の和の形で表せ。 (式になったの値は代入 しなくて良い。) (3) h = f1 = f +1 であることと、 三角関数の加法定理を用 いて、上の式を二つの三角関数の積(の定数倍) の形で表せ。 (4) この積に現れる二つの三角関数のグラフの概形をt=-1からt= 1までの範囲でそれぞれ描け. (一方は正確に描くのは人間には 不可能なので雰囲気で良い。 もう一方は正確に描くこと.) (5) (4) を用いて音波 α(t) の概形を描け. (6) この唸りの周期は何秒か? 以上.

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