質問失礼します。この微分方程式から矢印の式の導出の仕方を教えてくださいm(_ _)m

Sv Cv - - 87- → AP P = f(V)? = dp dv 2 - #I P dP ri~微分方程式 R => P = f(V) PV= し与えられる 定数

4の問題、正解は①なのですが、①と②で、②が切れる理由がわかりません。 教えてください。m(_ _)m

both John and Mary ② 2 either John or Mary (3 John 4 Mary 4) call AB (慶應義 3. Astronomers call the distance from the earth to the sun, approximately 93,00 miles, ( ). a one astronomical unit 2 one astronomical unit ③) one of the astronomical units 4 one an astronomical unit (慶應義 hope for A hope that A hope (for A) to 4. She ( ) to be an important representative of Japanese business. 1 is hoping 3 will have hoped (2 2 has hoped (4) have hopes (慶應義 5. The ambassador ( ) to Japan this September for a special meeting c Advisory Committee. ① will have come 3 will visit (2) will be coming ④4 will be gone (慶應義 6. Please lend me the book if you ( ) reading it. 1 finished ② have finished 3 will finish will have fin

11で、現在完了形が使えない理由は解説から分かりましたが、過去完了形はなぜ使えないのでしょうか？ 教えてください

1 finished 3 was finishing ②2 2 4 will have finished his father gets home. had finished will not 10. I won't go for a picnic if it ( ). 1 rains 前提 2 will be raining (3) ③ will have rained (4) will rain 行てしまった have 11. I think she ( ) out of the room just now. gone 1 has gone 2 had gone 3 has been going (4) went 12. The famous writer ( ) for five years. 1 died (2) has been dead ③3 was killed 4 ④ is dying

この英文中のbutの品詞と考え方を教えてください！

25. 物事を生半可に知っているより知らぬ方がいい。 (1語不要) One (may) (as) (well) (not) know a thing at all as know it but imperfectly. 5 ②-1-3 (不要語④ MacBook Pro

体積を求める問題で、この計算はどこが間違っていますか？ 教えてくださいm(_ _)m

15 13.2g 2 1 19 11 sinЯ x=九平面 1 y=2sing -ta " 0 20 面積S=アル(2inナー fr hd xⒸ (1) • π (4sin³t-4 sint + 1) 1 # 7 € V = πif (4 s/m³ t - 4 sint + 1 ) dt 47 JR 律軸 21 sin tide-47 [-cast] + [x]}) A(とする) -47A-47-cos +(cos) +² 4.2 1ー4+4A・当量が4個 長さ y=2sint 1172 2722-4√31

波線部の計算の仕方を教えて下さい

P(X=k)= nC2 n(n となる. したがって, = = n Σk · P(X = k) k=2 2 n (n-1)^(-1) {t(k) - f (k-1)) 2 k=2 n 1½-½ ((k − 1)k) k + 1) − (k − 2)(k-1)k} n(n-1) 3k=2 n (n − 1) · |-|(n − 1) n ( n + 1) −0} 2 - (n+1). - 3

20番の関係詞の問題を、2文に戻して欲しいです。 お願いします。後半のstoodの主語がどこなのか分かりません。

(2 What do psychologists call cognition 3 That psychologists call cognition What psychologists call cognition 19. The hospital has two spare beds on the second floor, ( years. s. You are welcome to use either of them. ところも 1 both of which (2) one of which 3) all of which (4) neither of which (北 ) has been us (京都外国 20. Soon we came to a hill at the foot w rstood S V 1 in which 3) which 2 of which at stood a deserted factory. Q ④ whose stood a deserted we came to a hill, but the foot of which] stood 前 目 factory

20番の文構造を教えてください。 特に④と⑤下線部が分からないです。

7/19. O loses any more support. 62 I was watching TV the meal isn't ready 21. When you ◎総選挙 have 22. I had spent (早稲田大) 現在 and forgot to switch the oven on, so I'm afraid that ⑥残念ながる ⑥曲 until at least eight o'clock. 完了形 20. I haven't started to write the play yet, so I don't really know of play it turns out to be. 子 様にするであろうことwill Q human nature is concerned, have anything to wear. I had spent a lot of money までしないであろうことwill.net. will be as old as I am, young man, you'll know that very little changes. 2029 (早稲田大 ) what sort (早稲田大) where ( 慶應義塾大) on clothes this year, but I still don't seem to

17.の波全部、訳と使い方を教えて下さい。 これは only A（数詞）after SV で「SがVしてわすがA後に」という熟語ですか？

[②] 次の英文の下線部には、誤っている箇所がそれぞれ1つずつある。 その番号を指摘せ よ。 16. Peter hasn't gone to work yesterday; he wasn't feeling well and took the day off. boor 17. 18. ( 慶應義塾大) A Only five minutes after Mari left on her lunch break, her phone rang and I SV Fs VAS had to tell the caller that she was just gone out. Tor ( 慶應義塾大) will be There is probably a general election next summer if the government 総選挙 loses any more support, ha to 19. I was watching TV and forgot to switch the oven on, (早稲田大) so I'm afraid that

（整数） 矢印の部分の変形はなぜ成り立つのですか？ 因数定理、ではないですよね。 教えてください🙇‍♀️

例題 (1) 3x-5y=1を満たす整数の組(x,y) をすべて求めよ. (2) 3x-5y=100 を満たす整数の組(x,y) をすべて求めよ. 【解答】 (2) 8・1 3x-5y=1. 3(x-2)=5(y-1). ①より, 3(x-2) は5の倍数である. また, 3と5は互いに素で あるから,x-2は5の倍数である. よって, 6.30 このとき, ① より, x-2=5l(lは整数). x=5l+2. (1) と同様にして 3.5/=5(y-1). y = 3l+1. (x,y) = (51+2,31+1) (Zは整数)。 3x-5y=100. 3(x-200)=5(y-100). x-200=5m,y-100=3m (mは整数)。 x=5m +200, y=3m+100. (x,y)=(2,1) が解の1組 であることを利用して積の形に 変形し、 両辺の約数を比較する. 3x-5y =1 3-2-5-1=1 3(x-2)-5(y-1)=0. 3(x-2)=5(y-1). 3・25・1=1より、 3-200-5-100=100. (x,y)=(200,100) が解の1 組であることを利用して積の形 1208404