英語です。クリティカルポイント2のチャプター3の答えが配られていないので、答え合わせができません。 答えを持っている方、または解いてくださる方、よろしくお願いします。

2. This electric machine did not function properly when it was delivered to my house, I have called several times, but there 助動詞·受動態 Chapter baim uoy biuo de o0 ー文法。語法一 空所に入れるのに最も適当な語(旬) を選びなさい。 ) out of town. n ud 1 1. Miki and her family ( (南山大) is no answer. 0 could go 3 should go の would be 2 must be lt uoy ) broken during shipping. (ship =輸送する) 2 could be om (慶歴大) It( ③ has to be の must have been 0 can have ) be watching TV. There are no programs today because of the strike 3 3. He( 2 can't may の should (東北工業大) 0 must 4.I saw Mr. Yamada at Shinjuku Station this morning." “You( ) have. He's still on vacation in Hawaii. 2 didn't (センター試験) D couldn't 3 might の should aci 5. Jim had a skiing accident, but he's all right. He's lucky, because he ( 97 (センター試験) 20clH d oo hurt himself badly. 0 could have bns ana 2 might ③ should の will have 6. This is a very important meeting. You ( ) miss it. (慶塵大) 3 ought not to amod og O had not better ② must have の should have ) here by now, for she took the early train. mort 7. My sister ( (センター試験) may arrive on ont 0 must arrive 2 can arrive の ought to have arrived (walin 8. Dorothy isn't in the office%; she ( 0 can be having ② can have coffee in the cafeteria. (センター試験) 3might be having 1ont ④ might have ) have to queue, when we've_already got our (東京電機大) 9. It is ridiculous that we ( tickets. (queue =列を作って並ぶ) 0 might ② ought ③ should の would 10. She proposed that a doctor ( ) be called in immediately. ④ ought (昭和女子大) 0 would 2 should ③ could 11.“I don't see Tom. I wonder why he's late.” “Well, he ( ) his train, or maybe he overslept." 0 might have missed ③ should have missed (センター試験) ② might miss ④ should miss 14

(2)の意味がわかりません。剰余の定理全く出来なくて困ってます

(2) 整式 P(r) を(r-1)?でわると,2.r-1余り,r-2でわると 26 剰余の定理 (I) 余 aS してれ6, 14, 26 であるとき、P(z)を(z-1)(r-2)(x-3) で わったときの余りを求めよ。 絵式 P(z)を(r-1)?でわると. 2.z-1余り,エ-2でわると 5余るとき,P(x) を (zー1)(ェ-2) でわった余りを求めよ。

宿題の部分教えて下さい。お願いします

pa -×0= 0 M3 X; = r cos 0 prdrd0 = ; p r2 dr [sin 01 = cos 0 d0 = =x pa3 ×0=0 「M3 1 p r sin 0 prdrd0 = M r2 dr M. [- cos 0] = Yc = sin 0 de = *y よって、重心は。= (0,0) 重心の計算(多重積分) *例題5質量がMで、密度が一様な、底面の半径a、高さが bの 円錐の重心 a-fe r dr M = pdxdydz = de dz = cb ca- r2r X; = r cos0 pr dO dr dz = …= 0 = 0 =x rb ra- r2m 1 Yc = TT r sin 0 pr d0 dr dz = … = 0 cb ca- c2r ZG = (宿題) z pr de dr dz = …→ JaJJA… まとめ * 大きさのある物体の重心を定義して、重心の位置を計算した。 * 地上での重力が大きさのある物体に働く場合、物体の各点で重力が働動くた め、つり合いを議論するとき、その重力の総和を計算する必要がある。 * 大きさのある物体に働く重力の総和は、その物体の重心に全ての重力が働 いた場合とつり合いの式は同じになる。 【宿題11質量M、密度が一様で十分に薄い2辺の長さがaの 直角に等辺三角形の重心を求めよ a a 【宿題2]質量M、密度が一様で十分に薄い半径aで2辺の間 の角が45度の扇型(円を8等分したもの)の重心を求めよ 【宿題31質量M、密度が一様で底面の半径がa、高さが の円錐の重心を求めよ。 (45° a * 宿題1、2、3を解きレポートを提出してください。 締め切りは4月24日の23時59分です。 補足:ベクトルの内積 A-B * AとBのなす角0、大きさ4,B 向きを持たない A.B= AB cos 0 ベクトルのx成分,y成分,z成分 A, = A-e, A, = A· ēy. A-B= A,B,+ AyBy +A,Bz A, =A-。 Ax x軸 ,,。:単位ベクトル = (1,0,0), é, = (0,1,0), é, = (0,0,1) |= | = le|=1, = ,.。 = é,. é, = 0 *分配法則:A-(B +¢) = A· E+ A-¢は成り立つので、 A-B= (A,,+ Ayé, + Azē,). (B,ē, + B,é, + B,ē.) = AxBx + A,B, + A,B。 12

解き方を教えてください。丁寧目に書いてくださると有り難いです。

pa -×0= 0 M3 X; = r cos 0 prdrd0 = ; p r2 dr [sin 01 = cos 0 d0 = =x pa3 ×0=0 「M3 1 p r sin 0 prdrd0 = M r2 dr M. [- cos 0] = Yc = sin 0 de = *y よって、重心は。= (0,0) 重心の計算(多重積分) *例題5質量がMで、密度が一様な、底面の半径a、高さが bの 円錐の重心 a-fe r dr M = pdxdydz = de dz = cb ca- r2r X; = r cos0 pr dO dr dz = …= 0 = 0 =x rb ra- r2m 1 Yc = TT r sin 0 pr d0 dr dz = … = 0 cb ca- c2r ZG = (宿題) z pr de dr dz = …→ JaJJA… まとめ * 大きさのある物体の重心を定義して、重心の位置を計算した。 * 地上での重力が大きさのある物体に働く場合、物体の各点で重力が働動くた め、つり合いを議論するとき、その重力の総和を計算する必要がある。 * 大きさのある物体に働く重力の総和は、その物体の重心に全ての重力が働 いた場合とつり合いの式は同じになる。 【宿題11質量M、密度が一様で十分に薄い2辺の長さがaの 直角に等辺三角形の重心を求めよ a a 【宿題2]質量M、密度が一様で十分に薄い半径aで2辺の間 の角が45度の扇型(円を8等分したもの)の重心を求めよ 【宿題31質量M、密度が一様で底面の半径がa、高さが の円錐の重心を求めよ。 (45° a * 宿題1、2、3を解きレポートを提出してください。 締め切りは4月24日の23時59分です。 補足:ベクトルの内積 A-B * AとBのなす角0、大きさ4,B 向きを持たない A.B= AB cos 0 ベクトルのx成分,y成分,z成分 A, = A-e, A, = A· ēy. A-B= A,B,+ AyBy +A,Bz A, =A-。 Ax x軸 ,,。:単位ベクトル = (1,0,0), é, = (0,1,0), é, = (0,0,1) |= | = le|=1, = ,.。 = é,. é, = 0 *分配法則:A-(B +¢) = A· E+ A-¢は成り立つので、 A-B= (A,,+ Ayé, + Azē,). (B,ē, + B,é, + B,ē.) = AxBx + A,B, + A,B。 12

五番が分かりません！至急お願いします🙏

Time:35 minutes ↓ Chapter 英文を読んで、設問に答えなさい。 A-1 every son, Dave, lived alone. Ted was not very rich, so he had to work hora day. One evening, Ted was driving home after his hard work. He was vo.. s tired, but he loved his son. *A Dave must be feeling lonely now. I have to go home as soon ae possible." He hurried home, but he came back home at nine o'clock. Dave was still a awake when he saw his father, and said, “Dad, how much do you make an 10 hour? Ted got angry at his son. He was not making enough money for their living. And he was too tired to stay calm. “Why do you ask (1)Such a silly question when I come home from hard work? I make twenty dollars an hour. Is that good enough for you?" “Tm sorry, Dad. But (B)Will you give me ten dollars?" “Another silly question! Just go to bed and sleep! Right now!"” 15 After Dave went to his room, Ted sat down on his sofa and hada drink. A-3 (2He came to himself again, and thought he was wrong to his son. He went into Dave's room. 20 “I'm sorry, my son. I didn't want to get angry with you. Here's your ten dollars.” cThank you, Dad!” Dave got up and opened his treasure box. He had another ten dollars in it. When Ted saw this, (3jhe got angry again. A-4 “Why do you want another ten dollars? You already have ten dollars!'> But Dave asked, watching his Dad's eyes, “(4)Dad, can I buy your one 25 hour with these twenty dollars?" come to oneself: begin acting and thinking like one's normal self

回答わかる方いますか?

16 次の(A), (B)の問いに答えなさい。 (A 次の英文を読んで, 文意が通じるように, 2回~16時に入れるのに最も適切な語(旬) を0~ から1つずつ選び, 番号で答えなさい。 In 2019, the Rugby World Cup was held in Japan. Rugby wasn't very popular among Japanese people until just a few years ago. In the *previous World Cup in 2015, Japan won a game against South Africa in a dramatic *upset victory. And in this World Cup, Japan reached the final eight. The Japanese national team made history and has 0 taken 5@ brought Do you know who started Japan's *bid to host the Rugby World Cup? There was a man who had a great passion for rugby. He was a * diplomat named Katsuhiko Oku, In 2003, he was suddenly attacked and killed by *terrorists in *Iraq, He was 290 engaged O prepared He started playing rugby at a public high school in Hyogo. He also showeda great talent for rugby at Waseda University. At that time, he had a dream to be a diplomat and work internationally in the future. After deep *consideration, he decided to 30O continue to However, he *encountered rugby again at Oxford University, and he tried hard to 15 develop his skills there. He became the first Japanese player of the Oxford rugby team. After that, he kept his love for rugby in his heart and *devoted himself to Japanese rugby while he worked on the 31) | 0 social Six years after his death, it was decided that the Rugby World Cup would be held in Japan. O given rugby into the hearts and minds of Japanese people. O satisfied in *reconstruction support activities for Iraq. 10 @ keep off O give up rugby then. O necessary O international stage. [注) previous (前の) terrorist(テロリスト) consideration(熟慮) upset(番狂わせ) Iraq(イラク) encounter . (……に出会う) bid (宣言 reconstf uction (復興) diplomat (外交官) devote oneself to (…に身を捧げる)

5番の問題が分かりません！至急お願いします🙇🏻‍♀️🙏🏻

Time: 35 minutes * Chapter 1 英文を読んで、設問に答えなさい。 day. One evening, Ted was driving home after his hard work. He was vo.. s tired, but he loved his son. Dave must be feeling lonely now. I have to go home as soon as possible.” He hurried home, but he came back home at nine o'clock. Dave was still A-2 awake when he saw his father, and said, “Dad, how much do you make an 10 hour?) Ted got angry at his son. He was not making enough money for their living. And he was too tired to stay calm. “Why do you ask (1)Such a silly question when I come home from hard work? I make twenty dollars an hour. Is that good enough for you?” “Tm sorry, Dad. But (B)Will you give me ten dollars?” “Another silly question! Just go to bed and sleep! Right now!"" 15 After Dave went to his room, Ted sat down on his sofa and had a drink. A-3 (2He came to himself again, and thought he was wrong to his son. He went into Dave's room. “Tm sorry, my son. I didn't want to get angry with you. Here's your ten 20 dollars.” Thank you, Dad!” Dave got up and opened his treasure box. He had another ten dollars in it. When Ted saw this, (3jhe got angry again. A-4 “Why do you want another ten dollars? You already have ten dollars!” But Dave asked, watching his Dad's eyes, ““(4)Dad, can I buy your one 25 hour with these twenty dollars?" come to oneself: begin acting and thinking like one's normal self

〜xyz空間の平面の方程式〜 3点を通る平面の方程式を答える問。 xを平面の任意の点を表す、位置ベクトル pを点Pの位置ベクトルとすると (↑ＰＱ×↑ＰＲ)・(x－p) ＝ ０ ↪️外積 写真の下の方に計算方法の公式みたいなものがあるんですが、調べても... Read More

y2空間上の平面がただ一つに決まる情報 (その2) 平面上にあり、 同一直線上にない3点の座標 (注意) この情報から法線ベクトルが求まれば, 平面の方程式が求まります.そこで導入するの が次の外積です 定義9 (ベクトルの外積 (教科書 p. 13)) zyz 空間の2本のベクトル a = (a,, 02, ag), b (も.6..6.)に対し, a とbのベクトルの外積 axbを次のように定義する %D axb=(uzby - aste-のbaba - nabi) (注意) 覚えるのが難しそうな式ですが, (教科書p. p) の覚え方がわかれば前単です ベクトルの外積の性質の一部(教科書 p. 14) *aとaxbは直交する。 内積で表すとa- (axb) %3D0 *bとaxbは直交する。 内積-で表すとb: (axb) %3D0 解説(ryz 空間の平面の方程式)リに空間内内の同一直線上にない3点P.Q.Rを通る平面 Ⅱの 方程式を外積と内積で求めています PO. PAに直交するベクトルとしにこれらの外校 が収れます。 作り方から POx PR は,平面1Ⅱの法線ベクトルになっていますす。 xを平面日の任息の点を表す位置べクトル、 pを点 Pの位置ベクトルとすると xア)(x P-0 という平面日の方程式が得られました

解法を教えてください

球面であるような薄いレンズLが真空中におかれている。レンズLは絶対屈折率 n(n>1)の透明な物質でで (2) 図2のように, 片側の面が光軸に垂直な平面であり, 反対側の面が光軸上に中心0を持つ半径 pc、 ンズLに向かって光軸に平行な光線を入射させる。レンズLの球面である側の表面と光線との交点をDL すると、光線はPで屈折して点Qで光軸と交わる。Pから光軸に下した垂線の足をP'とする。OP と oD。 なす角を0 [rad)とし, QPとQP' のなす角をφ [rad] とする。 図2の拡大図に示すように, 光線はPにおいて, 平面波が平面の境界を通過する場合と同様に屈折する。 のとする。また, レンズ L の二つの境界面で反射される光の影響はいずれも無視する。以下の問いに答え よ。 点P付近の拡大図 P レンズL 光線 P R LO. 0 光軸一一 P Q 前方 後方 図2 (a) 0 とゅの間に成り立つ関係を表す式として最も適切なものを次の①~8のうちから一つ選び, 解答欄に マークせよ。 0 sin0=nsin(0+φ) nsin0= sin(0 +の) cos0 = ncos(0 +の) nsin0= sin(0 - の 3 ncos0 = cos(0 +の) の cos0 =ncos(0-) 4) sin0 =nsin(0 -の) 6 8 ncos0= cos(0-の)

(2)の解説1行目の-cosθをどうやって変形したのか教えてください

極からおろした垂線の足の極座標が (h, α) で表され 20 第1章 式と曲線 9 極方程式(I) 次の極方程式で表される直線を図示せよ。 (2) rcos0=-1 (1) rcos 0+ 3 =2 1 8A04 P (r, 0) 極を通らない直線1に極0からおろした 垂線の足がH(h, a)で表されるとき, 精講 H (h, a) 直線1は rcos(0-a)=h (h>0) と表せます。(右図参照) 解答 0 roelo-(-)-2 よって、 点A{2, 一)を通り,OAに垂 (1) rcos 3 直な直線、下図(図I). (2) rcos0=-1 ミ-c8s0)=D1 ercos (0ー元)=D1 よって,点B(1, 元)を通り, OBに垂直な直線.下図〈図I). 注 右辺を正にするところがコツです。 〈図I) 0 ai <図I) 2 X B X ポイント る直線の極方程式は, rcos(0-α)=h 演習問題9 極からおろした面