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TOEIC・English Undergraduate

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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Mathematics Senior High

[1]の証明のあとに[1]からなぜ双曲線関数と呼ばれるか分かるだろう、と書いてあるのですがなぜか結局よく分からなかったので教えてほしいです!

264 参 双曲線関数 事項 p.254 の練習 149 (9) では, 関数y= ex-e-x exte-x の3つを 双曲線関数といい, グラフはそれぞれ右下のようになる。 ① sinhx= y4 2 3 coshx= tanhx= [1] の証明 ALTIN ex-e-* 2 ette* 2 ex-e-* e* te* (左辺)= - の導関数を求めた。 この関数を含めて、次 y=coshx y=e² O y=sinhx y= C 双曲線関数の逆関数 y=-e A ASIG YA 251 なお, sinh x をハイパボリック サイン, coshx をハイパボリック・コサイン, tanhx をハイパボリック・タンジェントとよぶ。 高校数学において,これらの記号を直接使う場面はないが,双曲線関数を背景とした入 試問題はよく出題されるので,その性質を知っておくと便利である。一部を紹介しよう。 sinhx D 691 [2] tanhx= coshx [1] cosh’x−sinhx=1 [3] (sinhx)'=coshx 1 cosh"x それぞれ三角関数に似た関係式であることに注目したい。 例えば, [1] は次のようにし て証明できる([2]~[5] もそれぞれ確認してみよう)。 #TERO [>x>I-# (x)\ (S) 0 [5] (tanhx)'= (12(>1- 1>x>1-) (R = (@r+ (x)\\ [4] (coshx)'=sinhx (e*+e-x)*(ex-e^*)? _ e2x+2+e-2-(e2x-2+ℓ^2)=1=(右辺)示せ。 4 4 373 08=(1) 1-54 3=88) $18-5 [1] から なぜ ①~③ が “双曲線関数” とよばれるかがわ かるだろう。 なお, 三角関数は円関数ともよばれており, COSx, sinx は単位円上の点の座標として定義されている。 一方, coshx, sinh x は, 直角双曲線上の点の座標として定大10 義されている。 また,基本例題 75では,双曲線x2-y2=1の媒介変数表 t2+1 t²-1 示x=- y= を導いたが,このte とおき換え 2t 2t るとx=cosht, y = sinht となる。 YA y=tanhx x A (cosht, sinht) 91-il (S) 1 C DESI 4TH x ✓x-y²=1 (日)広島市大 mil=(s) 20 SH p.262 の EXERCISES 119 (2) では,導関数を求める際に, 関数 y=log(x+√x2+1) か TRIJED らx= - (=sinhy) を導いた。 このことから, y=10g(x+√x2+1)とy=sinh x は 2 逆関数の関係になっていることがわかる。 22 基 ①1 高次 ① (2) 2② 方法 [1 [2 ③ y 2

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