マーカーを引いた部分の判別式がゼロより小さくなる理由を教えてください🙏

発展問題 98 k, a は実数の定数とする。 2次方程式x2 +(k+α)x+k²+a=0 がどのよう なkの値に対しても虚数解をもつようなaの値の範囲を求めよ。 PILN

解説も含めて教えてください。 お願いします。

III 次の各英文の空所に入れるのに最も適当な語句を,ア~エから一つ選べ。 octial" 13. The safe shows no sign of (a) although a thief broke in last night. 7. having been touched 7. touches 14. Imagine a situation () you are alone in a desert island. 7. what 1. where y. which 1452 I. why de todo bae eolied bilesig anno T having touched I. touching 15. We began to stand in line long before the tickets went on sale, To (als) we would have missed getting them. S 7. nevertheless 1. otherwise unless Indosat 18. Liz suggested ( 7. that they bai aida said) slqooq tedt 16. (sh) did they suspect that the valuables in their house were ibo stolen while they were away.asamelood antiw ayen ア. Little d. Not a little wit bagons aqudedie edmun ad 17. One of these pills has the effect of keeping an adult (bow) for hours. lysw airt evil la idgim Tawake . wake awaken I. whereas I . Not least il. The least 200 ca I. woken etduob be home by the time she gets home tomorrow. them that them to I. to them that

電磁気学の問題になります。 問3以降全く分かりません。教えていただけると助かります。

真空中で円周にそって流れる電流 (円電流) がつくる磁場, および, 円電流と等価な磁気モーメントについて 考える. 一般に,真空中で電流素片Ⅰds が距離 R だけ離れた点につくる磁束密度 dB は dB = Ho Ids x 4π R² で与えられる (ビオサバールの法則) ここで, Mo は真空の透磁率,Iは電流の大きさ, ds は電流の方向に とった微小変位ベクトル, hは電流素片からその点に向かう方向の単位ベクトルである. (1) 下図 (a) に示されるように、座標原点を中心とする π-y平面上の半径aの円周にそって図に示された方 向に電流Iが流れているとき, 点A(0, 0, h) における磁束密度の向きと大きさを求めよ. ただし, ん > 0 とする. (2) 下図(b)に示されるように、座標原点におかれた大きさがpでz軸方向の磁気モーメントが,点A(0, 0, h) に作る磁束密度の向きと大きさを求めよ。 ただし, 磁気モーメントとは正負の磁荷の対が微小な距離だ け離れているものであるが, んはその距離に比べて十分大きいとする. 問 (1) と問 (2) の結果より, 半径aの円電流Iは,十分遠方からみると, 大きさがHoTa²Iの磁気モーメント と等価であると考えられる.このことを利用して,次に, 真空中で円運動する荷電粒子について考える。 ただ し, 古典力学の範囲で考えることとし, この円運動による電磁波の輻射は無視できるとする. (3) 座標の原点に電荷g (> 0) が固定されている。 下図 (c) に示すように、質量がmで-gの電荷を持つ質 点が, g-y平面上で原点の周りを図に示す方向に一定の角速度で円運動している. この円の半径をと する. この質点の円運動を円電流とみなすことにより, 十分遠方からみた等価な磁気モーメントの向き と大きさ on を求めよ。 ただし, 真空の誘電率を e とする. (4) 下図 (d) に示すように、 磁束密度が B (> 0) で軸方向の一様な弱い磁場中で、 問 (3) と同じ問題を考 える ただし, 質点の円運動の半径は問 (3) と同じと仮定する. このときの十分遠方からみた等価磁 気モーメントの大きさを Pen とし, Apo PeB-Poo をBの1次までの近似式として求めよ. 2 •A(0,0,h) Z •A(0,0,h) y Pr (b) C 2 dan dal g 'T

英語の文法についての質問です。 一枚目と二枚目の緑の蛍光ペンを引いたところなんですが合っているかどうか確認していただきたいです。 三枚目にさんこう資料を載せてあります。 お願いします🙇‍♂️

CUTTING EDGE 1-03 英語の変遷 言語に関する面白いことの1つはそれが時とともに変化していくさまである名A (1) One interesting thing about languages is the way that they change over time. In English, everything from spelling to vocabulary 熟を経験する to ①pronunciation has ②gone through major changes over centuries. In fact, to a modern speaker, the English of 1,000 years ago is like a foreign language! 熱にさかのぼる 当時、 The history of English ③dates back around 1,500 years. (2) At ヨーロッパの複数の集団がイランドeans ④inaded England, bringing their that time, groups of Europeans 副詞M 一面に侵入する。 languages with them. These ⑤gradually developed into Old English. だんだんと. Later, in_1066, England was invaded by the Normans, from France. これによってその言語に重要な変化がもたらされ、今日我々が中英語と呼ばれる (3) This caused the language [go] through an important shift, leading to 関係詞ものになった。 続く500年以上の間、その言語は what we now call Middle English. (4)Over the next 500 years, the さらなる変化を経て最終的に近代英語へと変化した。結局は 回進化する language ⑥underwent ⑦ further shifts, ⑧eventually Devolving into ~続する 脳されんだ 英語が現在に至るまで発展する間に Modern English [evolvingの用法】 (5) As the language has developed 「接続」 多くのことが変化した down to the present day, many things about it have changed. 明白な Pronunciation is one of the most obvious areas of change. For example, in Old English, people said “hus” and “mus.” Now we say 最近では、アメリカ、イギリス、オーストラリア、そして他の地域での "house" and "mouse." (6)These days, there are also many differences 英語の発音の名Aしかたにも効くの違いがある。 in the way that English is pronounced in the USA, the UK, Australia. どこかその他の所で、 and Welsewhere. When people who speak the same language live in BE AE places separated by great 12distances, the language undergoes 13rapid changes in each place. 囲急速な Spelling has also gone thorough interesting changes. For example, in Old English, people wrote "riht." A "g" was added in Middle English, making the spelling "right." Also, in the ④4 distant 18世紀および past, people did not always follow standards of spelling. (7) In the 18th 学者のような学者たちが辞書を著し、英語のつづりをより 19世紀に(アヴェブスター and 19th centuries, scholars like Noah Webster wrote dictionaries 形一貫性のあるものにした。 FRED 貫した that made English spelling more 1⑥6 consistent. But different standards were decided on in England and the USA, so some differences remain - for example, "color" vs. “colour.”

(4)についてです 解説には3つの3角錐を引くとかいてありますが、GKN？の辺りくぼんでませんか？私の立体の見方が間違ってるんでしょうか

空間図形と相似 1回形と x 〔9〕 右の図のように,AB=AD = 6cm, BF = 9 cmの直方 体ABCD-EFGH がある。 点I, J,K,L,M,N は,それぞれ線分BD, 辺BC, 線分BG, 辺CD, 辺CG, 線分DG上の点で,線分 IJ, MNは辺ABに平行,線分 ILは辺BCに平行,線分 JK, LNは辺BFに平行である。 THE BI:ID=1:2のとき,次の (1)~(4) の問いに答えな さい。 (1) 線分IJの長さを求めなさい。 (2) 四角形JKMCの面積を求めなさい。 (3) 三角すい GKMN の体積を求めなさい。 (4) 立体IJK-LCMN の体積を求めなさい。 ※ - 89- B 9cm F 6cm K A 6cm M D H

至急です。教えてくださいお願いします🙏

U 10 演習問題 1. If I were a little younger, I ( have joined join 2. A: What should I do? B: If ( ) write a letter. [X] I had done it, you should you had done it, you should ) you in climbing the mountain. will join have lost 3. If the police () the girl earlier, they might have saved her life. had found has found will find have won would join [センター試験] 4. If our last batter had not finally hit a home run, our team would ( 5. "Was Jack at the party?" "I don't think so. If he had been, I ( had seen saw I were you, I would you were me, I would lose would find [X] win [センター試験] him." [センター試験] would have seen would see ) the game. 6. ( ) for the support of the public, the President could not have survived the revolt. [#] But If it were not Regardless Without 7. ( ) your financial help, we wouldn't be able to carry out our plan. Except Instead of Thanks to Without [センター試験] 8. () a little more patience, you would have succeeded. [***] If With And Because 9.( ) not been for your help, I should have failed. [PRE÷D***] Had there Had it Were it Has it 7/8

至急です！出来れば解説もしてほしいです。

U 10 演習問題 1. If I were a little younger, I ( have joined join 2. A: What should I do? B: If ( ) write a letter. [X] I had done it, you should you had done it, you should ) you in climbing the mountain. will join have lost 3. If the police () the girl earlier, they might have saved her life. had found has found will find have won would join [センター試験] 4. If our last batter had not finally hit a home run, our team would ( 5. "Was Jack at the party?" "I don't think so. If he had been, I ( had seen saw I were you, I would you were me, I would lose would find [X] win [センター試験] him." [センター試験] would have seen would see ) the game. 6. ( ) for the support of the public, the President could not have survived the revolt. [#] But If it were not Regardless Without 7. ( ) your financial help, we wouldn't be able to carry out our plan. Except Instead of Thanks to Without [センター試験] 8. () a little more patience, you would have succeeded. [***] If With And Because 9.( ) not been for your help, I should have failed. [PRE÷D***] Had there Had it Were it Has it 7/8

全くわかりません 教えてください🙏 もしよければ答えになる理由もお願いしたいです。

U 10 演習問題 1. If I were a little younger, I ( have joined join 2. A: What should I do? B: If ( ) write a letter. [X] I had done it, you should you had done it, you should ) you in climbing the mountain. will join have lost 3. If the police () the girl earlier, they might have saved her life. had found has found will find have won would join [センター試験] 4. If our last batter had not finally hit a home run, our team would ( 5. "Was Jack at the party?" "I don't think so. If he had been, I ( had seen saw I were you, I would you were me, I would lose would find [X] win [センター試験] him." [センター試験] would have seen would see ) the game. 6. ( ) for the support of the public, the President could not have survived the revolt. [#] But If it were not Regardless Without 7. ( ) your financial help, we wouldn't be able to carry out our plan. Except Instead of Thanks to Without [センター試験] 8. () a little more patience, you would have succeeded. [***] If With And Because 9.( ) not been for your help, I should have failed. [PRE÷D***] Had there Had it Were it Has it 7/8

大学を志望した理由及び学びたいことや目標を英作文で書かなければならないのですが、どなたか添削して頂けないでしょうか🙏🏻

2022 There are two reasons why I applied. to learn. The first one is that it is important for me English. think that learning English is broaden my I horizons.. The second one is that I like English to study English. Also, there are two goals. First, I want to become able to read English. If I had studied English, I could read it now. Second, I become able to speak English. Because, Japan is increasing the foreign tourists. For these reasons and goals, I applied for this university. want to English. It is fun for me

どちらも答えが1になるのですが、なぜそうなるのか分からないので教えて頂きたいです。 他の選択肢が間違っている理由まで教えて下さると助かります。

25 of 500 students attended the special lecture last Wednesday. Chod An audience 2 Audience 4) Much audience Audiences 38