学年

質問の種類

数学 高校生

224. 赤で書かれているu≠0について質問です。 これはg'(t)=6t(t-u)であり、 g'(t)=0のときt=0,u 極小値と極大値両方を持つ必要があるので u≠0ということですか?? また、「かつ」という書き方ではなくこうでもいいですか? (写真) 最後に、 ... 続きを読む

342 BE ひ)を通る 線Cの接線が3本存在するための u, vの満たすべき条件を求めよ。また、そ 条件を満たす点(u, v) の存在範囲を図示せよ。 演習 例題2243本の接線が引けるための条件 (2) |f(x)=x-x とし, 関数y=f(x) のグラフを曲線Cとする。点(u, 指針 前ページの演習例題223と考え方は同様である。 ① 曲線C上の点 (t, f(t)) における接線の方程式を求める。 (②21で求めた接線が, 点 (u, v) を通ることから,t の3次方程式を導く。 [③3] [②2] の3次方程式が異なる3個の実数解をもつ条件を,u, の式で表す。.... g(0)g(u) < 0 から (u+v)(-u³+u+v) <0 ②2 ②でu=0 とすると<0 となり,これを満たす実数は存在 しない。ゆえに,条件u≠0は②に含まれるから, 求める条件 は ② である。 u+v>0 ②から よって ....... -u³+u+v<0 u+v<0 \u³+u+v>0 ゆえに,点(u, v) を通るCの接線が3本存在するための条件s-# は,t の3次方程式 ① が異なる3個の実数解をもつことである。 よって,g(t)=2t3-3ut'+u+cとすると, g(t) は極値をもち, 極大値と極小値が異符号となる。 g'(t)=6t2-6ut=6t(t-u) であるから u=0 かつg(0)g(x)<0 v>-u \v<u³_u または <-u または \v>u³_u0 したがって,点(u, v) の存在範囲は 右の図の斜線部分。境界線を含まない。 解答 f'(x)=3x2-1であるから, 曲線C上の点の座標を(t, f(t)) とすると,接線の方程式は y-(t³-t)=(3t²-1)(x−t) DROLON y=(3t²-1)x-2t3 すなわち この接線が点 (u, v) を通るとすると+v=(3t2-1) u-2t3 よって 2t3-3ut2+u+v=0 ① 3次関数のグラフでは, 接点が異なれば接線も異なる前ページの検討参照 [1] 2c x≥0 にな ①を した これ [2] 2 f'(x V √√30 3 2√3 9 基本 219,演習20 DACO 2√3 √3 3 _y_f(t)=f'(t) (x-t) p.337 の例題 219 参照。 CLONEENHOU g' (t)=0 とすると t=0, u u=0のとき、 t=0,uの うち一方で極大、他方で 小となる。 v=uuのとき v=3u²-1 v=0 とすると √3 3 = u=± √3 のとき 3 u=± 2√3 9 (複号同順) 直線では線 CO 原点Oにおける接線。 ⑤ 224 曲線 Cの接線が3本存在するためのu, v 練習 f(x)=-x 3 +3x とし, 関数 y=f(x)のグラフを曲線Cとする。 点 (u, の条件を満たす点(u, v) の存在範囲を図 演習 ひの満たすべき条件を求めよ。 αは定 にαの また 指針▷f い)を運 解答 f(x)=x と 1 0 7 f'(x)= 求める ① [3] ①を よっ ゆよこい XM 表 これ [1]~ 練習

回答募集中 回答数: 0
英語 高校生

全文訳お願いします!

4 20 科学 420 words Chapter 1 The recipe for making any creature is written in its DNA. So last year, when 1-1 geneticists* published the near-complete DNA sequence of the long-extinct woolly mammoth, there was much speculation about whether we could bring this giant creature back to life. 5 東京理科大学 Creating a living, breathing creature from a genome* sequence that exists only in a computer's memory is not possible right now. But someone someday is sure to try it, predicts Stephan Schuster, a molecular biologist at Pennsylvania State University and a driving force behind the mammoth genome project. So besides the mammoth, what other extinct beasts might we bring back to life? Well, 12 10 it is only going to be possible with creatures for which we can recover a complete genome Without one, there is no chance. And usually when a creature dies, the (1) - DNA in any flesh left untouched is soon destroyed as it is attacked by sunshine and bacteria. sequence. There are, however, some circumstances in which DNA can be preserved. If your 15 specimen froze to death in an icy wasteland such as Siberia, or died in a dark cave or a really dry region, for instance, then the probability of finding some intact stretches of DNA is much higher. Even in ideal conditions, though, no genetic information is likely to survive more than a million years. - so dinosaurs are out and only much younger remains are likely to yield good-quality DNA. "It's really only worth studying specimens that are less than 100,000 years old," says Schuster. The genomes of several extinct species besides the mammoth are already being sequenced, but turning these into living creatures will not be easy. "It's hard to say that something will never ever be possible," says Svante Pääbo of the Max Planck Institute 25 for Evolutionary Anthropology in Germany, "but it would require technologies so far removed from what we currently have that I cannot imagine how it would be done." But then (3) 50 years ago, who would have believed we would now be able to read the instructions for making humans, fix inherited diseases, clone mammals and be close to creating artificial life? Assuming that we will develop the necessary technology, we have 30 selected ten extinct creatures that might one day be resurrected. Our choice is based not just on practicality, but also on each animal's "charisma" - just how exciting the prospect of resurrecting these animals is. 1-3

回答募集中 回答数: 0
英語 中学生

至急、教えて頂きたいです! 全ての問題教えてください😖🙏💦

11次の英文を読んで、あとの問いに答えなさい。 Bamboos belong to the grass family. Tall bamboos in a forest look like trees, but they are actually hollow stems. In the old Japanese story Taketori Monogatari, an old bamboo cutter finds a pretty young child in such a bamboo stem. Bamboos grow amazingly quickly. [ A] Ifyou want to grow bamb0os, you first need to make a small deep hole in the ground. [ B ] At the same time, under the ground, a new stem grows out of the planted bamboo, and moves along quickly horizontally. [C ] In spring and early summer, many bamboo shoots come out of the stem under the ground. [ D1 Those bamboo shoots also grow upward fast and become as high as about 20 meters in a few months. In this way, the number of bamboos becomes very large in a few years. All bamboos in a forest are usually clones of the first one, and they are connected to each other by the stems under the ground. So, when the time comes, all bamboos in a forest start to flower at the same time, make their seeds, and finally die out. This is the natural process for grasses. However, many of us won't have a chance to see any bamboo flowers. That is because many kinds of bamboos flower only once every 60 years or more. 1. 次の問題に英語で答えなさい。 (1) Why do all bamboos in a forest start to flower at the same time? e (Because で始めて) (2) Why will many of us NOT see any bamboo flowers? (Because で始めて) 2. 下の英文を入れる最適な場所はどこか、A~Dの記号で答えなさい。 Tpou When you plant a young bamboo there, it usually grows upward fast. Bryeqebact n or bnos scort ( )odw 2cgica

回答募集中 回答数: 0
英語 中学生

答えがなくて困ってます すみませんがよろしくお願いします

娘を読み、問いに答 記の先 用 請eihing is happening t0 ou 二inds and big storms in the past je diHference js amples mm weather。 The problem was not iust th Weather like this is called a heat wav C for nine days。 And on 25 Ge Why did the hot weaher happen? Wek became very warm in May。and the months of June and July were unusually not know exactly* oy it happened. Seien They think that in Cenual 5 wil IaSt perhaps* two days Iongei Heat waves ivph60ns in Some parts of the World) are wind storms Gnly Start when the sea temperature goes above need miore warm water t0 grOw In 2004-the ye: ten, and the in one ear storms to start in newspapers around the world than 1.800 people and destroyed* {の@】 Katrina wa Harri Florida, killing more than sixtx that now extreme weather is happe rance. during the month of Au tiSGs noW thimk that these heat waves will incre urope. the west of the United Stat re not the only things that are changing r after the heat w ted States had jive. It was also in 2004 that Soufh Atlantic Ocean: But the following y a5 g StrOng hurricane, but it was not the strongest hurricane of all That wi ane Wijhna。 which also happened in 2005. Wilma pas weather。 THere * Yeather. There have been big oods* and long dronghts ne paSt iS full of examples of extreme* weather S look at 。some ng inore often。L mist 2003 nearly 15000 people died because of the hot t Was hot、but that it was sO hot for so Iong was above Im Paris the temperatures during the di t did not fl below August the temperature during the ow 07 happeneds the Niediterranean Sea' * hot Butwedo get ( 3 And we think that this problem is going t St century e* during the twenty at WaVes and East Asia h than they donow。【 @ 1 alled cyclones or Hurricanes (also that suart in the oceans。 They can athey 】 e in France一there Were a lot of hurricanes. ]apan had While they move across the fthey move across colder water。 they get weakeri 【 For both countries, this was the largest number of” big azil had Hurricane Catarinathe tirst hurricane 2005, Was the year that got into Ba ich killed more This was the vear of .Hurricane Katrina, w Ss of homes in New Orleans in southern USA. hundre ed across Mexico. Cuba. and people and destroying hundreds of buildings。 There are five

回答募集中 回答数: 0