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数学 高校生

赤で囲んであるところがどこからきたのかわかりません 2θ+4/π=4/πではないんですか??

116.125,13 1, n29 基本例題 137 f(0)=sin'0+ sinAcos0+2 cos20 CHART SOLUTION 解答 [2] よって sin と cos の2次式 角を20に直して合成 sin Acosg = Sin 20 2 2倍角の公式 sin20= = 1-cos 20 2 半角の公式 f(0)=sin²0+sin Acos0+2cos2d 1-cos 20 sin 20 2 2 + = (sin 20+cos 20)+3 (198√2 sin (20+4) + 2 3 0≦0≦であるから 0284≤20+1=1/1 = 2次同次式の最大・最小 5 T これらの公式を用いると,sind, coseの2次の同次式(どの項も次数が同じで ある式)は20の三角関数で表される。 更に sin (20+α) のとりうる値の範囲を求める。 15 π 1/12 sin (20+4) 1 1≤ f(0) ≤ 3+√/2 2 (o≧0≦)の最大値と最小値を求め (20+α)+g の形に変形し, 三角関数の合成を使って,y=psin PRACTICE ... 1273 +2・・ 1+cos 20 2 9 y₁ 1 5 √2 54 ya ゆえに したがって, f(0) は 20+47 すなわち=2で最大値 3+,2 2 8E0008 10 cos20=- 1-000+Sin2+2(1+005) 1+cos 20 =1+ 2 半角の公式 (1,1) π 20+42 すなわち0= 1 で最小値をとる。 = 1 x |基本 135 1 x -11- 1番高いとこ ◆ sin 0, coseの2次の同 次式。 ◆ sin 20, cos 20 で表す。 ◆同周期の sin 20と cos 20 の和→合成 一番低いところ 213 CONG √2 2 1/12/17sin(20+4 ◆各辺に を掛けて 881- 4章 17 √2 2 この各辺にを加える。 が A 10 [AST)の最大値と最小値を求

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英語 高校生

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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

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