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Mathematics Senior High

媒介変数表示の曲線の場合に、写真2枚目のθ=0など、 f'(x)=0でないところで値がどうなるかを考えるのはなぜなのでしょうか。また、その値はどのように決めるのでしょうか。 一枚目などの問題では、そのような条件が増減表に示されてないため、考えるときとそうでないときの違いも教... Read More

00000 基本例題 241 定積分で表された関数の最大・最小(1) ~2x≦2のとき、関数f(x)=f'(r)e" dt の最大値・最小値と、そのときの 基本 239,240 の値を求めよ。 指針 dxf.g(t)dt=g(x) を利用すると,導関数f(x) はすぐに求められる。 よって、f(x) の符号を調べ、増減表をかいて最大値・最小値を求める。 なお、極値や定義域の端でのf(x)の値を求めるには、部分積分法により定積分 (1-t)e' dt を計算して, f(x) を積分記号を含まない式に直したものを利用するとよい。 解答 f'(x)=0 とすると x=±1 よって, f(x) の増減表は次のようになる。 -2 -1 1 0 0 極小極大ゝ また S'(x)=&S(1-t)dt=(1-x*)ex 241 x f'(x) ゆえに したがって - f(x)=S+(1-t) (e^*)'dt =[(1-1"erl +2f, te'dt =(1-x*e* 1+2([terl-Serat) f(2)=1-e² ここで, f(-2)<f(1) であり, f(-1) f(2) の値を比較すると =(1-x2)ex-1+2xex-2(ex-1) =(-x²+2x-1)ex+1 =1-(x-1)'ex よってf(-2)=1-123, f(-1)=1-4, f(1)=1, 9 f(-1)-f(2)= e-4>0 e + f(-1)>f(2) x=1で最大値1, x=2で最小値1-² 2 1 から、f(x)の特号 符号と一致する。 部分積分法 (1回目)。 部分積分法(2回目)。 <S²4-[~ I =8²-1 最大・最小 との値をチェック 増減表から、最大値の候補 は (-2), f(1) 最小値の候補はパール から) ∫(x)=e'costdt (OMx2x)の最大値とそのときのxの値を求めよ。 Ian Ca

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English Senior High

問題解いたのですが答えをしりらないので合ってるか分かりません。どなたか教えてください🙏

テーマ 資源・エネルギー 10 文法項目 動名詞(いろいろな形/動名詞と不定詞) Track 29-30 UNIT 6 Reading URELL パンダのふんの研究が、いつの日か環境問題の解決に寄与するかもしれません。 In June, 2016, a baby *giant panda, Tian Bao, was born at a zoo in Belgium. It became big news because the birth of a baby panda is an *extremely Actually, that of Tian Bao was only the sixth in Europe in the last 20 years. While its population is slowly increasing, the giant panda remains one of the rarest animals 5 in the world. Therefore, scientists have been doing research on how pandas have babies. So, you may think the scientists working at the Belgium zoo *accomplished the goal of their research. But they have another goal; apart from having done that research, they've been studying panda *poo. Why are they doing that? Bm Dimoda ro Tian Bao's mother Hao Hao and its father Xing Hui live in the same zoo as their baby does. While they enjoy sitting in the sun and eating bamboo, with ow dirg.or the scientist team collects their poo. By studying the poo, the team is aiming to understand how pandas can digest bamboo. rare event. 2 Note In fact, bamboo is receiving a lot of attention in biofuel research these days. 15 It's among the fastest-growing plants on earth, and yet needs the least care. So the plant can become a good source of *renewable energy. But because bamboo is very tough and hard to *degrade, today's method for making a biofuel from bamboo costs a lot. *Technically, pandas are meat-eating animals, but over the years the food they eat 20 has changed to almost only bamboo. The scientists are trying to find the *microbes that help a panda digest about 10kg of bamboo a day. By using these microbes, they will be able to discover an easy and cheap method for ( 4 ). It may take time, but some day panda poo may help cars run. (296 words)

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