6行目からがどうしてそうなるのかわかりません。 どなたか教えてください🙇🏻‍♀️

(1) −sinx+cosx=V2 sinx+ よって X E 3 y=√2 sin(x+2/27) 3 ・π 4 3 4 13 4 n+monia Jeb 0≦x<2のとき、22x+22<1/2である 11 4 から -1≤ sin(x+7) ≤1410), RE π = sin(x+2)-1のときメ よって√√200 7 また 7T 4 3 xSaoo+sin(x+ - = ==π 4 したがって,この関数は 3 -1のときx= TT x=-πで最大値√2をとり、 4 +xSnia= Saie I- niel x=-で最小値 -√2 をとる。 =22で最小値VDをとる。 3 08

英語の問が分からないので誰か解ける人解説込みでお願いします

CHAPTER 4 関連英文 "ninge som ow lit andarwood, dodal Passage 1: Australian Woman Who Died after Battling Rare Cancer Penned Inspirational Viral Letter: Each Day is a Gift' ・戦い戦闘 珍しい希少 brow adi b A 27-year-old Australian woman who lost her battle with a rare form of cancer asked her family to brovndaimuw loline how t share the last letter she wrote on her deathbed, 臨終、臨終の床 bed ada li vorf beslás ban obished alloft t Duralin 08 od nesto lana yad al Holly Butcher's last words soon went viral on Facebook after being posted on January 3, one day I rugged one dado dae Prow of an before she passed away, with more than 131,000 people sharing it on the social network. Niggad evil of bedbow Jaritannig gid sysd tabibl 在住居住者 ソーシャル・ネットワーク aid og H Holly, who resided in Grafton in New South Wales, Australia, began her lengthy note by saying that vidiberon and boa she planned to write "a bit of life advice." 実現する 変怪、奇怪な 死亡率 aude doos bad ead.. sailinil orie “It's a strange thing to realize and accept your mortality at 26 years young. It's just one of those things you ignore," she started. “The days tick by and you just expect they will keep on coming; until 20nd ablo ed ad ayawin lliw dad.blow on the unexpected happens." 予想外、予期せぬ 思いがけない 傷つきやすい静 予測不能不透明 Continuing, she wrote, “That's the thing about life. It is fragile, precious and unpredictable and each day is a gift, not a given right. I'm 27 now. I don't want to go. I love my life. I am happy. I owe that to my loved ones. But the control is out of my hands." i delo at guiwolle ads to doid W (B belustai tog Holly then encouraged her family and friends to stop whining “about ridiculous things. " 勇気づけられた 軽微な問題 あほらしい 提案された ばかばかしい 認める承認 “Be grateful for your minor issue and get over it," she suggested. “It's okay to acknowledge that something is annoying but try not to carry on about it and negatively affect other people's days." thegriot yllauen aw ob ネガティブに否定的H うるさ Holly also advised that people don't "obsess” over their bodies and what they eat.dla sV アドバイス 誓うる 助言 とりつくろう 取り憑 audul art ni sunitaoo lw asvil lieb m “I swear you will not be thinking of those things when it is your turn to go," she wrote. “It is all SO insignificant when you look at life as a whole.” 軽微、取るに足りない 微々たるもの After advising her family and friends to closed her letter by encouraging them to aged liw tedw toibong avawl se their money “on experiences” instead of presents, Holly use their merit huuore algoog art nodaum の代わりに ではなく give back. yasaesoonnu yilshom riodigandinemal 善行 ぜんこう “Oh and one last thing, if you can, do a good deed for humanity (and myself) and start regularly amaldory juoda daum col pai donating blood," she wrote. “It will make you feel good with the added bonus of saving lives.” 寄附 寄付 人命救助 命を救う

(loge)^nってただの1のn乗ですよね？ 気になってこのような部分積分法が入試で出てるか調べて、数が少なかったんですけど、教養として流れは覚えといた方が良いですよね？

In = √(x)'(logx)" dx 次に HT 0 =[r(logr)"]-fr⋅n(logx)"-.dr /(x)=3cos (cos.) Sao L →合成関数の微分: 62 =e(loge)"-nf(logx)"−¹dx =e-nIn-1 . In=e-nIn-1 (n≥2)

175のア～カがわかる方いたら教えてください🙏（等比数列の和に関する問題です）

△ 175 等比数列の初項から第n項までの和をSとする。 Sio=2, Sz=6 であるとき, S30 と S40 の値を求めたい 。 補足 初項をα, 公比をr (rキ±1) とすると, 条件から a (7-10-1) == ①. a (20-1) 1 r-1 ② r-1 ウ ①,② から, a を消去すると 10= r=1なら Sao=2Sio r=-1なら Sz=So=0 ③ となり,不適。 a I ゆえに、①③から == が成り立つ。 r-1 a (30-1)* したがって S30= r-1 a (40—1) 220-1=(z10+1) (ri-1) 2-30-(2-10) 3 1740 = (210) 4 S40=- -- r-1 である。 rの値を直接求める必要はなく,r' の値を利用すればよい

この問題ではαがπ／2より大きいですが、右の公式が成り立つものなのでしょうか🙏

459 OP =rとし,動径 OP と x軸の正の向きと のなす角を α, 点 Qの座標を (x, y) とする。 (1) P(-1, 2) から (C)-()(S) yt | −1=rcosa, Sao nie= P(-1, 2) 2=rsin a&feon)-8 nie= また,OQ = で, 動 径OQとx軸の正の 向きとのなす角は 70 Q(x, y) 6. a 0 X π 6 加法定理により π α+ であるから 6 x=rcos (a + 17/7). S200-8200+ mia nies + faie)+(D ), y=rsin (a+ 776) Tnie= nie= nia)= x=VCOs a COS- ―rsin a sin 200+ 6 6 pin 2,03 =(-1). √3-2.1--1-√3 Joi

合ってるか見てほしいです！

34. Lucy is getting ( ) Adam next week. 第9章 (名古屋学院大) ①marry ②married ③marry with married to 35. Koichiro loves Miki and he wants to ( ). (東京経済大) ①marry her 2 marry to her 3 marry with her marry together 36. I can't reach ( ) the top shelf! Dat in or te ③out (京都産業大 ④語句不要 □ 37. 先月は1週間続けて雪が降ったと新聞に書いてある。[語順整序 (名古屋学芸 (a/ the newspaper/ week / they / had / snow for / says) on end last month. The newspapare says they had snow for a week 38. When he ( ①told ) me the news, I was really surprised. (桜花学園 2 said 3 spoke won @talked of dog as oz 39. Excuse me. May I ( ) this pen for a moment? ①buy ③end bake ③borrow 197①rent W oubelist 40. I have a lot of things to do today, so I don't feel like ( (芝浦工業 ) out with you. ①to go ②I go 3 if I will go @goi 4 going (愛知淑 sidi asaool (名古屋女 ③would go to would like to Ja Joden sd T 41. I() have another cup of coffee, please. I don't like to

（2） マーカーの部分の式で、X²+Y²をする意味がわかりません。 答えがx²+y²=(r²)²になる理由分かりません。 解説をお願いします🙇‍♀️

基本 例題 73 放物線の頂点が描く曲線など (1)放物線y=x-2(+1)x+20°tの頂点は,tの値が変化するとき 線上を動くか。S 000 (2) 定円x2+y2=r2の周上を点P (x, y) が動くとき, 座標が (y2-x2, 2xy)で 表される点 Qはどんな曲線上を動くか。 基本事項 指針 (1) まず, 放物線の方程式を 基本形y=α(x-p)'+αに直す。 頂点の座標を(x,y)とす ると, x=(tの式), y=(tの式) と表される。x=(tの式), y = (tの式) から 変数を消 去して, x, yの関係式を導く。 (2)円の媒介変数表示 x=rcos 0, y=rsin0 を利用すると, 点Qの座標 (X,Y) で表される。この媒介変数表示からX, Yの関係式を導く。 CHART 媒介変数 消去して, x, yだけの式へ 解答 (1)_y=x²-2(t+1)x+2t²−t ={x2-2(t+1)x+(t+1)^}-(t+1)^+2t2- ={x-(t+1)}+t3t-1 t=-2 t=-1 19 t=0 Knia t=1 x=t+1 よって, 放物線の頂点の座標を(x, y) とすると ①, y=t2-3t-1 -S 3 t=2 ② 1 ①から t=x-1 2012/3 これを②に代入して y=(x-1)2-3(x-1)-1I0ail -1- よって y=x2-5x+3 --Oniz -3L 13 したがって, 頂点は放物線y=x²-5x+3上を動く。 基 橋 が 指 (2)x+y=rから, P(x, y) とすると x=rcosl, y=rsin0 と表される。 Q(X, Y) とすると X=y2-x2=r2(sin20-cos20) Y=2xy=2rcos •rsin0=resin 20 S+S-S= =-r2 (cos20-sin20)=-recos 20 よって X2+Y2=r(cos220+sin'20) ダ したがって,点Qは円x2+y'= (m2) 上を動く。 引く 803y=x²-5x+3 tの値がすべての実数値をと ると、①のxの値もすべて の実数値をとり、頂点は放物 線 y=x2-5x+3全体を動く。 <X, Y=OcOSAO = sin△ の形 - → sin+cos2△=1 の活用 を考えてみる。であるから 曲

なぜwhichじゃダメなんですか？ 教えてください

236 A large portion of ( ) the Japanese eat every day is imported from 図 other countries. what 33 whicho **+ raise +RBM) SOSAOXONI (2 thatoirw) birt 4 where S-300AM (SC (S) - IR 1880 √#$t ASADO) S6358) at blunds you are Liriw (-OSAOXON (8) (-)

写真の赤のlogの変形って出来るんでしたっけ！？ 知識不足で、、数3で習いました？それとも数IIで出てきたものでしょうか？😶‍🌫️

答 (1) flog.xdx S = f(x) log.xdx 1 TA =xlogat-ado Sao AS 1 430 >= -2, 6-2 =2のとき 1=xlogax- gol: gaxdx ogax I agolsT X loga S.gol 1 3 loga AS TA ST- AS S.gol- =xlogax- dx 1 logas E D gol (2-) = logaxdx gol 401 05.1208d gax- x-√²/² x ³. + C1 (C1 は積分定数 1 -dx xlogas ISRAROTE fx³dx os at J

（3）について答えはthese new types of cementまたはnew types of cement ですがthe new types of cement でも大丈夫ですか？

6 2019年度 英語 Ordinary Portland cement-t produced by baking lime in a kiln and emits approximately one ton of carb a kiln and emits Cement production is responsible for cement. dioxide for every ton of approximately 5% of global man-made CO2 emissions, according to the World Business Council for Sustainable Development. Cement does absorb some carbon dioxide back from the atmosphere over time, One 2016 study estimated that between 1930 and 2013, the equivalent of 43% of CO2 released from lime during heating was reabsorbed by - although that percentage does not include carbon concrete products worldwide dioxide emitted by the fossil fuels burned to heat kilns, a significant contributor of says. Fennell notes. 東京医科歯科大前駅 - the most common form in concrete- CO2 emissions during production. Unfortunately, this absorption comes at a price, particularly when cement is used in structures that feature steel reinforcement bars (rebar) within concrete. vl(As) CO₂ moves through cement it changes the pH of the surroundings, Fennell says. Concrete loses its alkalinity and, when moisture and oxygen are present, causes the rebar to rust. 2) ad "Rusting steel can expand with great force to as much as nine times its original dimensions if you add up all of the layers of iron oxide," says Randolph Langenbach, an international consultant in building conservation. This expansion causes the concrete to crack, flake and crumble. Svi aft ni adosband huma Degradation is a massive concern, he argues, and problems are not limited to rusting rebar. Everything from air pockets left in the concrete mix when it's laid to salt air buffeting coastal-facing walls, or the use of beach sand in the concrete, can shorten a building's lifespan. As one specialist once put it to Langenbach: "If it ain't cracked, it aint concrete."qubong ao yas guidtyns ogde stornos 90 s of fshoqml is vatns mash *** long llopsd lust ay to Given the concerns about the environmental impact and structural longevity of concrete, why do we continue to build with it? addi Simply put, concrete is cheap, versatile, quick to erect and requires no of weight J