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Mathematics Senior High

下線部について質問です。 方程式g(x)=0が重解aをもつとき、 g(a)=g´(a)=0が使えるのですよね? a,-1/3aは重解ではないのにどうして公式に当てはめられるのでしょうか...? どなたか教えてください🙇

標問 96 接線の方程式 (2) (1) f(x)はxについての多項式とする. (180) (A) 曲線 C:y=f(x) 上の点P(a, f(a)) を通る直線 y=mx+n がPにお けるCの接線であるための必要十分条件は 0=(₂₂) f(x)-mx-n = 0 が x=a となる重解をもつ ことである.これを証明せよ。 ( コ ( 福岡教育大 ) (2) 直線y=m(x-1) と曲線 y=(x-1)(x+a)(x-α)が接するときのm vet の値を求めよ.ただし, a は 0<a<1 をみたす定数とする. (島根大) (1)y=mx+n が P(a, f(a)) にお ける接線であるということは, mx+n=f'(a)(x-a)+f(a) が任意のxに対して成り立つということです. 一方,g(x)=f(x) -mx-n とおくと g(x) は多項式であり, > (5)\-(0)1=(x)D 精講 方程式 g(x)=0が重解αをもつ ための必要十分条件は g(a)=g'(a)=0 (標問 94 ) でした.g(a),g' (a) の中に, f(a),f'(a) が現れ ますから,m,nの条件とつながります. (2) g(x)=(x−1)(x+a)(x−a)²—m(x−1) ≥ して(1)を利用します. (1) P(a, f(a)) における接線の方程式は y=f'(a)(x-a)+f(a) 0=(D)'p=(0) 350 (8) 解法のプロセス (1) (a, f(a)) における接線 がy=mx+nである条件(A) を式で表す STENG であるから 「y=mx+nがPにおけるCの接線である」 ↓ f(x)-mx-n=0 x=aで重解をもつ条件 (B) を式で表す (A)(B)かつ(B) (A) を示す (2) (1) の利用を考える 26 (x)=v(x)\S 解答> f(x)=m(x-1)=0 が重解をもつ ‥. y=f'(a)x+f(a)-af'(a) ⇔ 「m=f'(a) かつ n=f(a) - af'(a)」 一方,g(x)=f(x)-mx-n とおくと 「f(x)-mx-n=0 が x=α となる重解をもつ」 R > (c)-(1)-(......(A) ) (x) Zeled ⇔「g(a)=0 かつ g'(a)=0」 であるから, (A) (B)であることを示す. (A) ⇒ (B)であること (B)は(A)の必要条件): 温常g(x)=f(x)-xf'(a){f(a) - af'(a)} とおくと ......(B) Tap 214

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English Senior High

下線部(4)の和訳に関してです。 どうしてfindが使われていて、かつ、このような和訳になっているのかがわかりません。 また、underの対象が明記されていないのは省略でしょうか?

次の英文を読み, 下記の設問に答えなさい。 There are few things on this planet that give me greater joy than making my home the most comfortable, relaxing place possible. So, one winter a few years ago, when my fiancé had a bout of insomnia, I sprang into action, gathering all the things that held promise for a great sleep: black-out curtains, a white noise machine, and the cult favorite a weighted blanket. Weighted blankets, which cost anywhere from $100 and up, are a sleep aid usually made in a duvet style, with the many squares throughout filled with heavy beads. Lovers of the weighted blanket claim that under its weight they can relax faster, leading to a better and deeper sleep. These blankets weigh anywhere from 5 to 14 kg, and manufacturers generally recommend choosing one that's not more than 10 percent of your body weight, although this seems to be just a rule of thumb and not based on scientific study. [1] "Absolutely love it," my friend Greg Malone tells me over Facebook one day. "Rotating shifts makes [a] to sleep hard, but my girlfriend got me one as a gift, and I have found it's made a big difference in falling and staying asleep.' However, Deep Pressure Therapy (DPT)— the act of using firm but gentle pressure on the body to reduce anxiety has been practiced for centuries in various forms. In 1987, a limited study found that many college students who used DPT reported feeling less anxious after [b] full-body pressure for 15 minutes (in an adorably titled "Hug'm Machine"), although the researchers did not note any physical changes like lowered heart rate or blood pressure that would indicate the participants were more relaxed. That being said, a 2016 study found that patients who used a weighted blanket while having their wisdom teeth removed tended to have a slower heart rate than (2)patients who underwent the procedure without, which may indicate that they were more relaxed. However, many patients didn't report feeling more relaxed, and since they each only went through the procedure once, it's difficult to tell if the weighted blanket was the key to calming down. 2 Some say that simply the fact that a weighted blanket makes it more difficult to toss and turn at night makes for a better night's sleep, while others claim it has something to do with [c] the blood vessels on the surface of our skin that causes our heart rate to slow down. It also could be that the feeling reminds us of times when we felt the safest, like getting a hug from someone who cares for us or when our parents would swaddle us as newborns. 3 Similar to how many people adore the feeling of a soft blanket against their skin or can't relax without their favorite scented candle burning, others might connect with the feeling of gentle, full- body pressure. The trick is finding the sensory cue that makes you the most comfortable. "Weighted blankets have been around for a long time, especially for kids with autism or behavioral disturbances," Dr. Cristina Cusin, an assistant professor of psychiatry at Harvard Medical School, told Harvard Health. "It is one of the sensory tools commonly used in psychiatric units. Patients who are in distress may choose different types of sensory activities holding a cold object, [d] particular aromas, manipulating dough, building objects, doing arts and crafts - to try to calm down." My fiancé immediately disliked the 9-kg blanket I had picked up and said it made him feel like he was trapped. He's not alone in (3) this. "I liked it at first, but then as the night went on, I felt trapped," Heather Eickmann, a family friend, told me. "Also, I sleep on my side, and it really started to make my hip and knee joints ache." With the weighted blanket making my partner's sleep worse, I decided to give it a try myself. And (4) while I didn't find it too heavy to curl up under, the 9-kg blanket did turn making the bed into a small strength exercise. Overall, I tend to be a good sleeper, so swapping out blankets didn't make any outstanding differences to the quality of my snooze. However, later that summer, (5) ² を使ってみたら, まったく別の理由で夜中に目をさましているのに気づいた。 The blanket was HOT. [ Jones, Emma. "Can Weighted Blankets Help You Sleep Better?" Healthing 15. 11 May 2021. 出題の都合上、原文の一部に変更を加えている。】 設問 1. 下線部(1)を日本語に訳しなさい。 ただし, "one” の具体的内容を文脈に即して明らかにすること。 2. 下線部(2)の具体的内容を文脈に即して30字以内 (句読点も含む) の日本語で説明しなさい。 3. 下線部(3)の具体的内容を文脈に即して35字以内 (句読点も含む) の日本語で説明しなさい。 4. 下線部(4)を日本語に訳しなさい。 5. 下線部(5) を英語に訳しなさい。

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English Senior High

2次試験の、和文英訳の問題を解いたのですが、誰か添削して頂きたいです🙇🏻‍♀️

4 (T) との対話です。 対話の下線部 (ア)~(エ)の日本語を英語に直しなさい。 and, 通訳資格を持つ西郷教授(S) と, 将来通訳を目指す大学生東郷君 T: 2018年のサッカーワールドカップは、サムライジャパンの活躍で予想以上 さこ に盛り上がりましたね。 特に 「大迫半端ない。」 という表現が流行しましたが, その日本語の表現をどのように英訳したらいいでしょうか。 1 S: 日本語を英語に通訳する際には、そのまま直訳しても意味が伝わらないの で、分かりやすく本来の意味を伝えることが大切です。 「半端ない」というこ とは、真ん中や普通ではないということですから, “Osako is too good.” とい う訳でどうでしょうか。 bottimans ed nes tadi vete Isordosts to mol s T: なるほど分かりました。 案外簡単な表現ですね。西郷先生は通訳を担当され 21297 beri aizbr olash sirviendr 100 200 (1) る際に,どのような事を心掛けていますか。 for 1570 22515W 101 2/280 G O GET DIA 235mw x S: 口頭で通訳する際には,あまり難しい言い回しを使わずに、出来る限り分か alsazia storgs non gnidivisys holobot no vlor lls sw doctsu18 Snapoimannoo 24 りやすく、誤解を招かない表現を心掛けています。 日本語は時々文の主語を got at tell silk 240 goizu joob ngen () gensqu atomoal qu 省略するので、誤解を避けるように努めています。また文法的な通訳のみで 2 Tour 20 08 OVERT BRYSTEM なく文化的な違いを説明することも大切です。 1517246 4 720 1515 od Ligim new swiad ceg stb Mib siiT T: 分かりました。 2020年の東京オリンピックで通訳になれるように全力で頑 adstar sovew ofbeti (1) gupu a play and now190 20 07 285 張ります。 odt ovaw 150 agnol dour room are asysw olbes ananam to diendmand an

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