解答真ん中あたりの、式変形のやり方を教えてください。いつも筆算で割り算をしているのですが、それしか方法はないのですか？

例題251 面積の最大・最小〔2〕 ･･･ 放物線と法線 t> 0 とする。 放物線 C:y=x 上の点P(t, P2) における法線を1とする。 法線と放物線Cで囲まれる部分の面積S の最小値とそのときのもの値を 思考プロセス 208 求めよ。 法線･･・ 点Pを通り, 点PにおけるCの接線に垂直な直線。 の構図 公式の利用 68 面積Sは KM Action 放物線と直線で囲む面積は"(x-a)(x-B)dx = -12 (B-α) を用いよ 解y' = 2x より, 法線の方程式は ICの共有点のx座標 α, β を求める。 α, β のうち1つは点Pのx座標t であることに注意する。 y-p= =-2/(x-1) 2t よって - 1/1/72x+²²2 +21/12/2 -x+t²+ 2t 法線と放物線Cの共有点のx 1 1 座標は x² == ²+ 2t よって 例ゆえに y- これは2t 2+x+1²+ - x=t, -t- 42 12/12(1+1/2)-013 (18-01/2+(1+2)= ·x-t²+ = ( x − 1) { x + (t + 1/ 1 )} = 0 より 2 1 2t 1 2t Ve したがって, Sは 1 s = [₁ ₂₁₂ {( - 2²/2 x + ² + ²/2 ) - x ²}dx S= -+- 24/1 2t == -- ₁ (x-1) { x + (1 + 2/1 ) } dx 2t すなわち t = = P t> 0 であるから,相加平均と相乗平均の関係より 3 5 - ²1 (2 + 1)² ² + +-(2√/2 - ) S = 2t+ 2t- 6 2t 2t t= t 2 3 = 1 / { ₁ - ( - ₁ - 12/17)} ² = 1/- (2 t + 2²212) ²2 2t+ 2t 11/12 のとき 最小値 14 3 のとき等号成立。 x 1 2(y-f(t) == 例題244) 点P(t, f(t)) における 法線の方程式は -(x-t) f' (t) lとCは点Pで交わるか ら、この方程式は x = t を解にもつ。 S²(x − a)(x − B)dx = -1/-(6-a³² == Re Action 例題 68 k [X+ ( X> 0) の最小 値は、(相加平均) ≧ (相乗 平均)を利用せよ」

英語得意な方 否定を教えてください

Stage 2 - Grammar 1 Choose the most suitable words. (2x5=10) (1) (No / Not) computer graphics are used in old action movies. (2) I knew neither her name (or / nor ) her phone number. (3) I can ( seldom / hardly ) stand his behavior in this situation. (4) “Is Jane seriously ill?" "I (don't hope so / hope not )." (5) "Will Makoto attend the meeting?" "No, and (so / neither ) will I." [S]

英語得意な方 否定を教えてください

Stage 2 - Grammar 1 Choose the most suitable words. (2x5=10) (1) (No / Not) computer graphics are used in old action movies. (2) I knew neither her name (or / nor ) her phone number. (3) I can ( seldom / hardly ) stand his behavior in this situation. (4) “Is Jane seriously ill?" "I (don't hope so / hope not )." (5) "Will Makoto attend the meeting?" "No, and (so / neither ) will I." [S]

この問題の3.4について、1から解説して欲しいです。 よろしくお願いします。

oxidation-reduction reaction 問23 次の反応で、酸化されたもの, 還元されたものを、化学式で答えよ。 (1) Zn + 2H+* Zn²+ + H2 (2) Cl2 +21 → 2Cl + I2 2Na + Cl2 2NaCl (4) Fe + S FeS → FALL

なぜ直線lと平行だから(4+5k)・1-(3-2k)・9=0となるのですか？

例題 84 2直線の交点を通る直線 2直線 4x+3y+2 = 0 ... ①, 5x-2y-3=0･･･ ② の交点を通り, 次 の条件を満たす直線の方程式を求めよ。 (1) 点A(-1,-2) を通る 思考プロセス (1) 素直に考えると･･・･ 直線 ①, ② の交点Bの座標を実際に求め, 2点A,Bを通る直線の方程式を求める。 5 → 点Bの座標が 23 (2) 直線 1:9x+y+3=0 に平行 22 となり、その後の計算が繁雑になる。 23 見方を変える 2直線 ① ② の交点を通る直線の方程式は、 一般に ( 4x+3y+2)+k(5x-2y-3)=0 3 と表すことができる (Point 参照)。 ■ ただし、直線②は表さない。 Action》 2つの図形∫(x,y)=0とg(x,y)=0 の交点を通る図形は,∫ (x,y) + kg (x,y) = 0 とおけ 解 2直線 ①, ② の交点を通る直線は, 直線②を除いて ( 4x+3y+2)+k(5x-2y-3)=0 .. 3 0545 **** とおける。 (1) ③が点A(-1, -2) を通るから {4・(-1)+3・(-2)+2}+k{5.(-1)-2(-2)-3}=0 -8-4k=0 より k=-2 ③ より 求める直線の方程式は 6x-7y-8= 0 (2) ③ + [頻出] (4+5k)x+(3-2k)y+ (2-3k) = 0 これが直線 1:9x+y+3=0 と平行であるから (4+5k) 1-(3-2k) 90 より k=1 ④ より 求める直線の方程式は 9x+y-1=0 直線 ② は, 点Aを通 らず,直線9x+y+3=0 と平行でもないから, (1), (2) ともに求める直線が ② になることはない。 ③にん=-2 を代入し て整理する。 2直線 α1x+by+c1 = 0, a2x+by+c2 = 0 が 平行⇔ab2a2b1=0

(3)で、なぜlog2はそのままなのですか？

例題150 対数関数の導関数 次の関数を微分せよ。 (1) y = log(x²+1) (2) 思考プロセス SHEREHE 題 = xlog(x+√x² +1) (4) y = 公式の利用 (10gx)、 自然対数 = log(x²+1) (UX) (1) y = (2) y = log] tanx (^*µ*) (3) 底が2であることに注意。 (3) y'= 1 x² + tan x Action ≫ 対数関数の微分は,自然対数で表して {log|f(x)}' = log|3x+2| log2 (別解)y' 3 (3x+2)log2 (5) y' = 1 (x²+1)': (tanx) x+21} = = STOCK'S (3x+2)log2 2logx 1 さらに (log|x|)'=- X 1 = log(x + √x² +1) +x • x y = log|tanx (3) y = log₂|3x+2| (log.x)² (5) y = x 2x x² +1 1 tanx = log(x + √x² +1 ) + x. - = log(x+√x² +1) + X² (3x+2)' = (4) y' = (x)'log(x+√x² +1)+x{log(x + √x² +1)}'′ 143 MENAMACHA.jp 1 1 log2 3x+2 1 cos²x X √√x² +1 {(logx)²}' x − (logx)² · (x)′ x² =x-(logx)² (4) y=xlog(x+√√x²+1) (¹) (log x)² x (5) y = 221 1 sinxcos.x (3x + 2)' (x + √x² +1) x+√√x² +1 a 3 (3x+2)log2 x 1+ √√x² +1 x+√√x² +1 2logx-(log.x)2 X² (商) は定数とする。 [頻出] f(x) とせよ tanxcos²x sinx COSX = sinxcosx 底の変換公式を用いて自 然対数で表す。 cos²x At (loga x)' を用いる｡ x = 1 xloga 4章 いろいろな関数の導関数 + (√x³ + 1)² = {(x² + 1) ³y (x² + 1) = ² · (x² + 1)² {(logx)²}' = 2(logx)¹. (logx)' 12

ノート作りが明日までの締め切りで日本語訳が溜まりに溜まっていて大変なので少しのページだけ助けて頂きたいです😭 メモの落書きは気にしないでください)

n Ms. Brown: There will be an earthquake drill this afternoon. So today, we will make an English pamphlet about earthquake safety actions. discussion: 109>supritiss First, you have to get down on the floor and then get under a desk. When the shaking stops, you can leave the building. Do we have to take our bags? No, you don't have to take them. And if there is no desk? 4 I don't know. I'll have to check. Group Eri: Kota: Tina: Kota: Eri: Hajin: bring

こちらの穴埋め分かる方いらっしゃいますか？

[1] Monopoly Suppose a pharmaceutical firm as a patented monopoly that has a plan to supply a newly developed good q. This good requires R&D cost of k> 0 as a fixed cost but is supplied at a constant marginal cost of c> 0. Once launched in a market, the market demand is estimated as shown in (1) with a > 0. Then, answer the quizzes [1.1] and [1.2]. 4a ・(1) 3√9 [1.1] If the firm commercializes good q, how much would q and p be set? Select numbers appropriate to the blanks (i) - (iv) in (2). (iii) (i) • a C and P = (iv) . C (2) (ii) 9 = P = [1.2] Show an interval of k satisfying that the firm creates this market. Select numbers appropriate to the blanks (v) - (vii) in (3). (vii) (v) a = (0, (vi) . C ] (3)

解答を教えてください🙇

LESSON 9 Quome: Bryor 1 Choose the best answer to fill in the blanks. (1) (1) When I was a would (2) You've got ( 1 a few eggs child, I ( 2 should ) on your tie. 2 an egg ) often play baseball with my friends. 4 might 3 must (3) He has such a soft voice that I can ( hardly ℗ hard (4) She cannot speak English, ( nor better 2 nor less (5) The crowd watched the firefighter ( climbing 2 climbed (7) His arguments forced them ( 1 admit to admit Did you have fried eggs for breakfast? dime 3some egg 4 some eggs (9) His English essay was ( ). 1 superior than Carl's 3 superior to Carl's (11) He told me that he ( 1 had never been was never (12) Willy was surprised ( hear (13) The foreigner was used ( 1 handle ) hear him. 3 already ) French. (6) Let's stay home and watch a movie (Y) it's sunny tomorrow. 1 although as soon as 3 even if 4 when 2 to be heard 3 much better 2 handling 1) the ladder. 3 to climb ) he was right. 3 admitted (10) We then moved to Paris, () we lived for six years. 3 where 1 that 2 which ) to America before. ) the news. 4 admitting (8) It is not that I dislike my new job (___) that the working hours are too long. 1 so 2 with 3 for but (神戸学院 4 yet superior for Carl's 4 superior as Carl's 4 to have climbed much less 2 never comes 4 will never come 3 by hearing ) a pair of chopsticks. 3 to handle FERONE 4 what (センター 4 to hear (黒 to handling 2 (1 (2 (創 (名塩 RETESAHONE ( (学) (北海道 GR

これってどこかで印刷できたりしないですかね

GN ( Listen and Read Q. バリ島の姉妹の活動は、どのようにパリ全土へ広まりましたか。 So what can we do? In Bali, plastic bags were thrown away by tourists and residents. They were polluting the beaches. So two young sisters started a movement to ban plastic bags from the island in 2013. The movement that they started spread through social media. Finally, the Governor of Bali decided to ban all plastic bags from 2019. So you see (9) their daily lives. Bye Bye Plastic Bags (2) Take your bag when you go shopping. Recycle plastic properly. And tell other people. Don't give up on our beautiful Planet Earth! Read and Check 1. Q の答えを含む文に, 下線を引きま しょう。 people can start taking action in 2. 次の表現を探して, 本文に波線を引 きましょう。 (1) 「知ってのとおり」という言い方 (2) 「行動する」 という意味を表す語句 Reading Task 1. Hajinは自分たちにもできることとして3つのことを挙げています。 それはどんなことですか。 (1) 買い物に行くときは (マイバッグ )を持っていくこと (2) プラスチックは( 適切 )にリサイクルすること (3) これらのことを 他の人 )にも伝えること 2. 本文を読んで,次の質問に答えましょう。 (1) How did plastic bags harm the environment in Bali? They were (2) Who started the movement to ban plastic bags in Bali? Two polluting the beaches. young people did. Sisters 3. Think プラスチックごみを減らすためにできることを考えてみましょう。 マイバッグを持ち歩く。 音読する Summary Writing Hajin speaks about the movement in Bali. The movement was started by young sisters It spread through ban Governor of Bali decided to can start taking action in our daily two social media, and finally the all plastic bags. Hajin says that we to keep the Earth beautiful. lives