わかる方お願いします🙇🏻💦💦💦 矢印から下の部分を訳して、T/F教えてください🙇🏻🙇🏻🙇🏻 Fは間違えている箇所を訂正お願いします🙇🏻🙇🏻💦💦

15 [1-58] Caleb Autry: I originally wanted to be an engineer, but I realized quickly that it 3( passion for music and I was just scared to pursue it. 35 minismic tuods onilaat ho teiled o ). I knew I had a Ruffini: That changed last February, when his math and science- 20 focused High School, A NEW BEAT MORNING PHILADELPHIA TEENAGERS PRODUCE MUSIC WITH OWN RECORD LABEL George Washington Carver, became the test site for the Philadelphia School District's new music production www.program.obule belesuper test site 実験校 bobmemoby 64 50 Bo R 40

(2)①studying (5)③regards (8)①came to realize (12)②to whom という答えになるのですが、どうしてそうなるか、なぜほかの回答がだめなのか解説お願いします！

1 空所に入る適語を選びなさい。 (1) Jennifer ( ) her own work experience in India. Dspoke for ②told ③talked about ④said ) abroad next year. studying in to study 4to study in (2) It might be wise of you to avoid ( Dstudying (3) He made an effort to become a professional golfer, but he made ( ) progress. ⑪little 2a little ③few ④a few (4) It seemed ( ) for us to finish the task by the next day. Dincapable ②unable (5) Don't forget to give my best ( Dreward @regar regard ③impossible terrible ) to your parents when you go back home. ③regards (6) I( ) money from my friend last week. Dlent ②sent ③rented (7) I was so tired that it was really hard to stay ( ⑪wake ②awake ③woken Drewarding borrowed ) in class. ④waking ((8) After a cup of coffee, I ( ) what his message really meant. Dcame to realize came realizing ④became to realize 3became realizing (9) Mary quarreled with her father a week ago. She is now barely ( ) with him. Don bad conditions Bin familiar relation ②on speaking terms on good feelings ) the dishes after dinner. 4to wash (10) Because my mother was sick in bed, she had me ( wash ②washed ③have washed (11) Fleming's discovery of penicillin, for ( ) he was awarded the Nobel Prize, had a major influence on the lives of people in the 20th century. Dthat ②what ③which whom ) I introduced delicious yakitori. ④whom (12) I stayed one more week with my friends from Italy, ( Qwho ) involved in the accident is my neighbor. Dof whom ②to whom (13) One of the girls ( who was ②whoever were whose were (14) You have to do ( ) you have to do. what ②that ③which ④how ④whomever was

この、速度の求め方はなぜ微分を使うんですか？ すみません、全然分からなくて💦

** a 入する。 では, 無線も (2) B 201 ある。 運動と微分 式への応用 **** 時刻における点Pの速度および、点Pが運動の向きを変 える時刻を求めよ. 半径1cmの球形の風船があり、 空気を入れはじめてから、半径に 0.5cm/sの割合で増加しているという.4秒後の体積の増加する。 度を求めよ. 「刻における座標s が s=f(t) のとき 時刻 方 (1) 速度に関する問題である。 直線上の動点Pの時 ds dt における速度はv=f'(t) 速さは v また、運動の向きが変わる速度の符号が変わる (2)変化率に関する問題である。 変化する量Vが時刻tの関数で、V=f(t) のとき dV=f'(t) (時刻 t における)変化率 dt 球の体積Vをtを用いて表すとよい。 (1)時刻 t における点Pの速度を”とすると、このと きの座標は,s=-6f2+9t-2 であるから, ds S=3t-12t+9=3(t-1)(t-3) v=- dt よって、 速度は3t-12t+9 時間 位置 速度 tについて微分する. 点Pが運動の向きを変え るのは、速度vの符号が変 わるときであるから,右の 表より, t=1,3 t 1 3 v 0 0 (2) t秒後の半径をrcm, 体積をVcm とすると, r=1+0.5t より 4 V=1/22/12(1+0.5t) = (21) dV πC したがって, dt 6 dV t=4 のとき, dt よって、増加する速度は, 6xxan 3(2+1)²+1=72 (2+1)² (2+4)=18 18cm3/s 球の体積V=132 最初の半径が1cmで 0.5cm/sの割合で増加 1+0.5t =1+1/21=1/2(2+1) [{f(x)}")' ={f(x)}^-'.f'(x) 第6章 Focus 時刻 t とともに変化する位置や量は、時刻 t で微分して扱う 練習 201 ** (1) 直線上の動点Pの時刻における座標 s は, s =f-9t+15t-6である。 時刻における点Pの速度および、点Pが運動の向きを変える時刻を求め 主面積の増加する速度を求めよ.

この問題の(ⅰ)はa＝０の時をなぜ確かめているんですか？

368 第6章 微 Think 例題 198 実数解の個数(2) **** 3次方程式-3a'x +40=0が異なる3つの実数解をもつとする。栄 数αの値の範囲を求めよ. 114 考え方 例題 197 (p.367) のように定数を分離しにくい。 このような場合は,次のように3次 数のグラフとx軸の位置関係を考える。 3次方程式 f(x)=0が異なる3つの実数解をもつ 3次関数においては、 y=f(x) のグラフがx軸と3点で交わる (極大値)>0 かつ (極小値)<0 (極大値)×(極小値) < 0 (極大値)> (極小値 ) 解答) f(x)=x-3ax+4a とおくと f'(x)=3x²-3a²=3(x+a)(x-a)...... ① 方程式 f(x) =0 が異なる3つの実数解をもつ条件は、 y=f(x) のグラフがx軸と3点で交わること つまり、(極大値)×(極小値) <0 となることである. (i) ①より、f'(x)=0 のとき, a>0のとき、 y=f(x) A f(a)f(B) f(x)が極値をもっ f(x)=0が異なる? つの実数解をもっ f'(x)=0の 判別式) > 0 x=-a,a x -a 増減表は右のよう f'(x) + 0- 20 a (p.353 参照) + 直接, 増減表を書いて になる. f(x) 極大 極小 極値を調べたが、 a0 のとき, X a -a 増減表は右のよう になる。 f'(x) + f(x) 0 20 (+) 極大 極小 a=0 のとき,f(x)=xより,f(x)=0 の解は x=0 (3重解)となり不適 (ii) f(-a)xf(a)=(2a3+4a)(-2a3+4a) =-4a² (a²+2)(a2-2)<0 (i)より, a=0 であるから,a>0,d²+2>0より, a²-2>0 これより、 (a+√2) (a_√2)>0 a<-√2√2<a よって、求める αの値の範囲は, a<-√2√2<a 3次方程式(x)=0が異なる3つの実数解をもつ y=f(x)のグラフがx軸と3点で交わる (極大値)>0かつ (極小値) <0 (極大値) X (極小値) < 0 f'(x) =0 の判別式を 使ってもよい。 判別式をDとすると D=-4-3(-3a²) =36a2>0 より a<0, 0<a (a=0) となる. Focus 注> 例題198 で (1) f(x) が極値をもつ (Ⅱ) (極大値)×(極小値) <0 満たさないと (極値

食品ロスを減らす取り組みについてどのように考えているかと食品ロスを減らすためにすべきことを２つ例を挙げ 50 words 程度で英作文作って欲しいです。🙏🏻

この問題教えてください！！

例題197 立体の体積(3) **** 切り口の半径がともにαの2つの直円柱が,その中心軸が互いに垂直に なるように交わっているとき、この2つの直円柱の共通部分の体積を求め よただし、直円柱の高さはいずれも24より大きいものとする。 考え方 図をかいて座標を設定して考える.そのと き、右の図のように座標空間で、2本の円 柱の中心軸がそれぞれ軸、Y軸になるよ うに考えるとよい立体の断面積は平面 z=t のときを考える. ① ②② ZA Xx 舞合 平面 z=t での断面の面積を S(t) とすると, 右上の図のように、 2つの直円柱の中心軸がx軸, y 軸になるように立体を置き、 より、x=±√ap であるから, S(t)=(2√a²-t2)²=4(a²-t²) 08030-5 よって、 求める体積をVとすると, V= -a a²t v=S_S(t)dt=2"S(t)dt=24(at)dt=8[at]a 16 3 3 mia (1から見た図) ZA ZA a (②から見た図) YA x -a t 10 YA 2x- 2x x 0 xax Focus 断面積 S(t) を求め,tについて定積分する (!)

この英文の文法を教えて欲しいです。 (関係代名詞、不定詞など) 英語が苦手なのでどのような使い方をするのかなど教えてもらえるとありがたいです。

onference ánf(a)rans] im [éim] articipant artisǝpǝnt] sappointment isapintment] opose [prǝpouz] allenging elindsin] me to do mto do on one's appointment ... at all stantial stanf(ǝ)!] road [réilroud] instream instri:m] t is how ... e hope that... an impact on 3 In How did they come to publish their own paper? 2002, there was a study conference held by CHETNA an NGO that aims to help the children in slums. Among the participants, there were some children from a slum in South Delhi. They were shocked to learn that adults had no idea about what really goes on in a slum! To their disappointment, the children also learned that the media did not cover the issue at all! So they decided to join a project proposed by CHETNA. It was a G1 challenging plan to start a newspaper to let people know about the terrible conditions of kids living in the slums. G1 That is how Balaknama started. The children chose this name in the hope that their paper would serve as "the voice of children." In fact, their articles have sometimes had a substantial impact on society. In 15 2015, a shocking article appeared in Balaknama. It was about slum kids forced by police officers to remove bodies after railroad accidents. The mainstream media reported on the article and the government finally acted and stopped the police. 20 nsion Check id the children learn at a study conference held by CHETNA? roject did CHETNA propose? d the children name the newspaper Balaknama?

この英文の文法やtheyやitが何を表しているかなど詳しく教えて欲しいです。

onference ánf(a)rans] im [éim] articipant artisǝpǝnt] sappointment isapintment] opose [prǝpouz] allenging elindsin] me to do mto do on one's appointment ... at all stantial stanf(ǝ)!] road [réilroud] instream instri:m] t is how ... e hope that... an impact on 3 In How did they come to publish their own paper? 2002, there was a study conference held by CHETNA an NGO that aims to help the children in slums. Among the participants, there were some children from a slum in South Delhi. They were shocked to learn that adults had no idea about what really goes on in a slum! To their disappointment, the children also learned that the media did not cover the issue at all! So they decided to join a project proposed by CHETNA. It was a G1 challenging plan to start a newspaper to let people know about the terrible conditions of kids living in the slums. G1 That is how Balaknama started. The children chose this name in the hope that their paper would serve as "the voice of children." In fact, their articles have sometimes had a substantial impact on society. In 15 2015, a shocking article appeared in Balaknama. It was about slum kids forced by police officers to remove bodies after railroad accidents. The mainstream media reported on the article and the government finally acted and stopped the police. 20 nsion Check id the children learn at a study conference held by CHETNA? roject did CHETNA propose? d the children name the newspaper Balaknama?

(C)に当てはまる単語を選び形を変えて入れる問題です。入る単語はlookで、回答はlooksでしたがなぜlookedがダメなのかが分かりません。理由を教えて欲しいです。

d times ir way in the early morning hours. Another concern has to do with the cost implications of delaying school start - an ever-present issue in the age of increasingly tight school budgets, and decreasing tax revenues. The move could lead to a range of initial up-front costs, with budget-watchers worried most ( 2 ) costs/associated with changing bus schedules and additional lighting for athletic fields because after-school activities would be pushed later in the day. However, our recently released research for the RAND Corporation ( B ) that delaying school start times to 8:30 a.m. could actually result in significant economic statewide benefits that would be realized within a matter of years. Over the span of about a decade, the United States could stand to make financial gains of around $83 billion if teenagers were able to get more sleep. In California alone the financial gains would be just over $10 billion. Within even two years, most states would break even in terms of the initial costs of the move versus the economic benefits. These gains are based on a macroeconomic model that ( C ) at two key effects of better-rested teens: improved academic performance and reduced motor vehicle crashes. In terms of academic performance, research published ( 3 ) the apt title

英語の並び替えの問題無んですけど、toの位置とか分からなくて教えて欲しいです。 お願いします。至急です。

疲れ果てて帰宅したが, やるべきいくつかの重要な仕事があることに気がついた。 I came (important/to/find /home/exhausted/there/only/some/work/was to do