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第4回 実戦問題 問1 2次関数 y=f(z)= br+2br +が(b¥0) を考える。 f(x)の頂点 (エッ ) とすると、 =|AB =6(6-|C を得る。 (1) b>0のとき, DE F である。 (2) b<0のとき, G である。 (3) 次に f(r)= 0とすると, rは異なる2つの解をもつなら、 もく H であり、 特にb=}のとき。 K エ= IJ 土 L である。 注)2次関数:Quadratic Function - 52 -

（10）の解説お願いします🙇‍♂️

(9) Dark(a/what) it was, the group managed to find its way to the hut. (That / What ) Naomi is a famous economististrue. (1)(During / Waik)I was watching TV, the phone rang. (12) It is doubtful (whether / what) the problem can be solved easily.

課題1が分からないので教えてください。 至急、回答してくれると嬉しいです。

課題12つの引数xとyを持ち,xを2倍して,yを加えた結果 2x+y の計算結果を返す 関数 (x, y)を定義し,f(8,7)を実行した結果を,下のように表示せよ、(10点) 25 関数を作る ロ × そ→ C 合 O file:///filesv/HOME/20 三 function 関数を作る f(8,7)の実行結果を表示する。 23を直接書くのではない。 f(8,7)=23

課題4がヒントを見ても分からなかったので教えてください。 至急回答していただけると嬉しいです。

課題 4.「 Lecture 1-14 数字に 3桁ごとにカンマを入れる関数を作る」にある関数 numberFormat を再帰関数の形式で定義せよ.再帰関数の名前は numF とする.下の口部 分以外を書いたファイルが次の場所にある.(20 点) part02¥lecture1-14\課題4の元ファイル.html <script type="text/javascript"> let nums = new Array(1, 234,56789, 9007199254740991) function numF(numStr){ ここに再帰関数 numFを定義する.書き方にもよるが,ifelse の一文で書くこ とができる。 function numberFormat (source){ return numF (new String(source)); for(let i = 0; i<nums. length; i++){ document. wr ite (nums [i] + 'は+ numberFormat (nums [i])+'と表現できます。<br>') 29

【写真】の読むとき、どこを区切りればよいのか教えてほしいです。

Do you know how many children there are in the world? I thought there were 3 million Cnaren in the world. In reálity, there are 2.1 billion children in the world. Do you think they all are Iiving sáfely and cómfortably? It is not true. 356,000 children are troubled by poverty. I Khew foreign children were troúbled by póverty, but I didn't know Japanese children were troubled by póverty. 1 in 7 Children in Japan live in poverty. I was surprised to hear that. Japan is not at war and not a poor country. It is an advanced and developed nation. So, why does it have this problem? 「nere are many causes. First,non-regular employmentis increasing. Non-regular employees don't get enough money and they don't have a stable job. Second, the number of elderly people is increasing. When the number of elderly people increases, it burdens Japan's workload. Finally, single-parent families are increasing. So how can we solve these problems? The first is food support. For example, there are certain projects and corporations that carry out food services and children's cafeterias.Certain food services are free for low-income single-parent families. Children's cafeterias' dishes are free or low price for children. There are about 12 children's cafeterias in Koriyama. Second, schooling support. Children can go to supplemental school and go to lessons set up by a support group. There are various ways to solve the problem. What can we do for poor Japanese children? I think we should understand this present condition and donate money. I want to be a member ofa support group. The day when children in Japan and around the world can live safely and with peace of mind Willit come?I hope that children around the world, including Japan, can live safely and securely. Through the SDGS, I hope we can secure happiness for all children.

【写真】を読む時に… •アクセントをどこに付ければいいのか •どこできって読めばいいのか •繋げて読む部分はどこか •語尾を上げる又は下げるところはどこか を教えてほしいです。

Do you know how many children there are in the world? I thought there were 3 million Chiidren in the world. In reálity, there are 2.1 billion children in the world. Do you think they all are Iiving sáfely and cómfortably? It is not true. 356,000 children are troubled by póverty. I Knew foreign children were troūbled by póverty, but I didn't know Japanese children were troubled by póverty. 1 in 7 Children in Japanlive in poverty. I was surprised to hear that. Japan is not at war and not a poor country. It is an advanced and developed nation. So, why does it have this problem? There are many causes. First,non-regular employment is increasing. Non-regular employees don't get enough money and they don't have a stable job. Second, the number of elderly people is increasing. When the number of elderly people increases, it burdens Japan's workload. Finally, single-parent families are increasing. So how can we solve these problems? The first is food support. For example, there are certain projects and corporations that carry out food services and children's cafeterias.Certain food services are free for low-income single-parent families. Children's cafeterias' dishes are free or low price for children. There are about 12 children's cafeterias in Koriyama. Second, schooling support. Children can go to supplemental school and go to lessons set up by a support group. There are various ways to solve the problem. What can we do for poor Japanese children?1 think we should understand this present condition and donate money. I want to be a member of a support group. The day when children in Japan and around the world can live safely and with peace of mind Will it come?l hope that children around the world, including Japan, can live safely and securely. Through the SDGS, I hope we can secure happiness for all children.

和訳が分からないので教えてほしいです。 宜しくお願いします。

Music During Surgery? (e) 2-37 Scientists have found that the soothing effect of music benefits patients having eye surgery. Studies show that those who listened to their choice of music during surgery had a significantly lower heart rate and blood pressure than patients who did not listen to music. Heart rate and blood pressure of all patients increased the morning of surgery.. However, these measures of cardiovascular stress dropped significantly in the music group within ten minutes of tuning in, and remained low throughout the surgery. The stress from surgery was lower among the music patients, but their ability to cope was higher. These ratings confirm the benefits of music during surgery. It has also been noted in other studies that surgeons who play music of their choice during surgery feel that it relieves stress and improves their performance. In the words of one researcher, “If music was a drug, everyone would want it. Patients like it. It's cheap and effective, and has no negative side effects." NOTES: soothing 「(神経や感情を)静める」 cardiovascular 「心 (臓)血管の」cardio は heart の意. side effect「(薬物などの)副作 用」

先生にこの下線部の中に重要なポイントがあると言われ、それをどこか考えてくるように指示されたのですがどこが重要か分かりません。ポイントなどございましたら教えていただけると幸いですm(_ _)m 写真横向きですみません。

- (2】 - While not every study agrees, there is a good amount of research showing that diverse groups are more creative. (2) The leaders I talked to (not only made an effort to bring Met to together people from different backgrounds and perspectives but also took the time to talk to people outside their industry about their ideas. Rufus Griscom, serial entrepreneur and CEO and founder of Heleo, puts it this way: “Ideas are like people - they don't like to be isolated or treated jealously. They like to mingle, interact with other ideas.” “Like most young entrepreneurs, I used to be worried that if I shared a new business idea too broadly, someone else would run with it, andI would lose the opportunity,” he told me. Litation haehaan ahawn tainerangeeraativitvas well Iol mhia inaahe

大学数学、複素関数論、テータ関数に関する質問です。 写真のテータ関数の無限積表示（5.24）の式の1行目の形にどうやってしているのかと、命題5.22の（5.26）の証明を教えていただきたいです。

(b) テータ関数 ヤコビは楕円関数論の研究において, 次の級数を導入した。 9(2) = 22(-1)"-!g"-1/2)" sin(2n-1)Tu n=1 2(g/4 sin Tu-g/ sin 3Tu+q^/4 sin 5Tu-…). (5.23) 三 これはヤコビの楕円テータ関数(以下単にテータ関数(theta function))と呼 ばれるものの1つである. limd,(u)/2q'/4=Dsin Tu なので, 0,(u) は sin Tu 9→0 の一種の拡張と見ることができる。 伝統的な記号にならって, 以下 2ミe2miu a=2 q= eir, と書こう.gl<1だから Imr>0である. このとき(5.23)の右辺は TiT 2Tiu 9=e 9 2と(-1)"-1gm-1/2)?_2"-1/2 _2-n+1/2 =iこ(-1)"gm-1/2)°n-1/2 n=1 2i n=-00 = ig4z-1/2 (-1)"g"(n-1)z" n=-00 と書き直すことができる.右辺に3重積公式(5.22)を用いれば, テータ関数 の無限積表示が得られる: 0,(u) = iq'4z-1/2(1-2) II (1-g"2)(1-g"z-')(1-g") n=1. = 2q/4 sin Tu I (1-2g" cos 2Tu+g")(1-g"). 三 (5.24) n=1 命題5.22 0,(u) はuの整関数で 0,(-u) = ー6,(u). (5.25) 0 0(u) = 0 < (m,nEZ). 0,(u+1) = -0, (u), 9,(u+t) = -e-mi(r+2u)9, (u). (5.27) u= m+nT (5.26) 0 + 2u) [証明](5.25),(5.26) は(5.24)から簡単にわかる. また前節の無限積

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3. The content on the Aspero Designs Web site is protected by copyright law and may not be reproduced - the company's written consent. 1. behind 2. without 3. except 4. before 4. Dr. Hemana and Dr. Wareham, the joint recipients of the Cobalt Research Prize, have known since they were university students in Auckland. 1. other one 2. another one 3. any other 4. each other 5. This afternoon's flights to Barcelona, London, and Rome have all been delayed inclement weather in the destination cities. 1.. as for 2. due to 3. now that 4. only if 6. Patrons who arrive at the theater the show has begun will not be seated until the intermission. 3. along 1. wherever 2. into 4. after 7. The new-product development meeting will be held either in Room 402 in Room 501. 1.. or 2. and 3. not 4. but 8. Printer cartridges can be found in the supply cabinet the file folders. 1.. at 2. from 3. with 4. along 9. Mr. Wong will travel to the management seminar in Singapore on 1.. he 2. himself 3. him 4. his own 10. Market researchers reported that customers were most impressed the Vestra Coffeemaker's delayed-start function. 1.. by 2. beyond 3. for 4. since After December 13 customers will be asked to place their orders online use the mail-order form. 1. So as 2. in case 3. rather than 4. provided that 12. its main competitor, the ergonomic chair offered by Well Designs is lightweight and comes in a variety of colors. 1. In contrast to 2. By way of 3. Instead of 4. So as