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英語 高校生

すみませんカッコの中に入る正しい答えが分からないので教えてください🙇‍♀️

James What time do you wake up? Chris I get up 6:30 every school day. James What do you before you come to school1? Chris I and Finally, I James How about weekends? Chris Saturdays I get up 10 AM. the winter months I sleep later, because it's cold. How about you? How late do you sleep? James Well, last night I got 10 hours of great sleep. I slept like Conversation2 Unit 7 Future Tense Yoko Do you have plans for this coming vacation? Runa Yes. I'm going to America. Yoko How exciting! Where you going to go in America? Runa To New York. After that, I'm not sure. Maybe I go to Boston. Or perhaps I travel to LA. How about you? Yoko staying here in Yamagata because of my job. But next summer, my roommate and I visiting Thailand. Runa That's great. But be sure to travel Don't take too much luggage with you! Conversation3 Unit 8 Present Perfect Tense Mike Have you ever Thai food? Pam No, I How about you? Mike Yes, I It was very spicy. Pam Have you ever to a foreign country? Mike No, I have never traveled Have you? Pam been to Korea and Taiwan. I really loved eating the food there. It was delicious. Mike All this talk about food is making me hungry. you eaten yet? Pam I eaten anything. Let's go toa café. Mike Sounds Conversation 4 Unit 9 Auxiliary Verbs Mai Excuse me, Shun. I borrow a pen? Shun Sure. You look tired. What's up? Mai Well, I really finish this report by tomorrow's deadline! By the way, how is your part time job? Shun It's hard work, but I save money for the future. If I don't shop for clothes too much, that is. Mai You try looking for sales. Clothes don't have to cost an if you look for discounts. Shun You're right. I buy my clothes from second hand shops. And there's one other thing. Mai What is it? Shun I borrow ¥2000 for my next shopping spree?

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数学 大学生・専門学校生・社会人

この問題の問題13-1(3)(4)、問題13-2の解答を作ってください! お願いします!

2021年 物理学演習2 第13回 デルタ関数 関数f(x)がどのような関数であっても次のような関係を満たす8(x) をデルタ関数という。 「r86) = f0) JO (x * 0) l0(x = 0) 8(x) = このデルタ関数は物理学者の P.A. Dirac によって発明された。名前に関数とついているが、正確 には関数ではなく汎関数の一種の超関数で、線型性と連続性などを満たした汎関数である。 関数: 数 → 数 例えば x → y=f(x) 汎関数:関数 → 数例えば f(x) → f(0) = Sf(x)6(x)dx デルタ関数は関数では無いが、実際には下記のような関数の極限とみなすことができ、どの表現も 同等である。 8(x) = lim 8,(x), ど→+0 8,(x) = {o (x> £/2) 1 28 8(x) = lim 8,(x), E→+0 6,(x) = 2x?+ 2 1 8(x) = lim 8,(x), ど→+0 6(x) = e VTE 8(x) = lim 8,(x), 1 8,(x) = 「e-ddk Zt J-o 1(x2 0) lo (x < 0) 8(x) = 0'(x), 0(x) = 3次元のデルタ関数は以下のように1次元のデルタ関数の積になる。 8(r) = 6(x)6(y)8(z) (o (x =y=z= 0) lo (x =y=z=0以外の場合) 8(r) = 問題13-1 f(x)はx| → oで0となるなめらかな関数とする。デルタ関数8(x) f(x)6(x - a)dx= f(a) について次の性質を証明しなさい。 (1) x6(x) = 0 (2) 6(ax) = )(a>0) (3) 6(x) = 0°(x) so (x< 0) l1 (x> 0) 0(x)は階段関数(ヘビサイド関数)であり、e(x) = である。 {8(x - a) + 6(x + a)}(a> 0) 問題13-2 正規分布を表す次式 = (x)9 がa→ +0 のときにデルタ関数となることを証明しなさい。 1 -exp V2To 2g2

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