大学数学です。この解き方を教えてください。 x＝au y＝bvと置換するそうなのですが、いまいちわかりません。

7. 次の等式を証明せよ。 f(x,9)dady = ab <1 (ar, by)dzdy (46>0) z?+y?<1

赤線で引いてる部分がうまく訳せません。どなたか説明お願いいたします。よろしくお願いいたします。

) change) In the middle of the next ( 4 ), an 18.6-year lunar cycle will flip into a れた Aの発 phase that amplifies ( 5 ). It's called the moon's “wobble.” The ( 6 ), along with [ an ] ( 7 )slimate-driven rise in 年 た げnてい、 phenome non epeuéd sea levels by then, will mean that some coastal cities will see (_8 ) seasons lasting a month or longer. worning Treanent flood Climate (4)_decade tilec

英検の英作文の添削をお願いします。見にくいところがあれば言ってください。

Dat ici Agre or disagree Elderly pegle Should be taken core of by their rather than sent to nursing homes I agre with the idea that elderly pesple should be taken Cae of by their tailies rater fhen Seat to nursingg homes, I have Two reasons To suport may opinjon in Tecms of better core and financial burdon r on family. Fist, families con be berer core than nursing homes because they know abart elderly faily members mme. If nuring homes tale Care of elderly pople,they con not be the best support. L It is easy for families to take care of them. Secondi Senting to nursing hemes Cost mare. If eldery paple are taken core of by nursing home s, thair families have to pay charge. It is difficat to pay high fee. for these reasons, elderly people should be taken care of hot y neriag homes but by their foniliea

丸つけたところ答えです。 どれか一つだけとかでもいいので、 問題の解説お願いします！！

I 各問に答えよ。 (32点) C DG。 lon 8 T マ-Dとセ に において, 空所を満たすのに最も適切なものを,それぞれのA~Dのうちから 問1 9 16 1つ選べ。 a C へしたがいい (Shonld) fo hod better Id better have' it I have a sore throat. gp peu を B 9 A checking to be checked C /to check D checked 21 doM b etM bs tM married for ten years when their first baby arrived. Tom and Mary n 10 A had B had been C have been D have uGm down the stairs. 11 He came 9 w sdv ahnds bl to have run D A having run B to run C)running 12 You'd better money to John. He won't return it to you. i D do not lend A not to lend B not lending C not lend sdhs avon tnde you because you broke your promise. inirft 1 Beth is angry ST at with 13 A B on C to D for 0 as pom 2om Oficer: “May I see your passport?" Visitor: 0 o 14 omge B A It is kind of you You are welcome C/ Here you are D Don't mention it dt Ro d 9big avol sar zdT fa9iblida uoて is apert on UK 20n AらL icp 1G e I am afraid my watch is five minutes 15 sldshotmoo j A rapid C fast e B after D Swift 0eo2 8WgtinngL MG honGLA DIDCP 1 We found a truck Odbure dbua and go10 bsaingrua na ms 16 on its side in the middle of the street after the hurricane. T COLpaho TG Spo A lied B lie C lies D lying 0ods do日n 0 sm blod 2sd gere ncra o AC bradaun hhohdok innsl oloH196 latoM 0liniol a bad noid egona

TOEIC Part5の問題です。 ・なぜ不定詞とing形は述語動詞に適さないのか。 ・選択肢B,Dはどちらも受け身なのに、なぜDだけが適しているといえるのか。 以上2点教えて頂きたいです。 きっと文法の基礎から理解出来てないのだと思いますが、よろしくお願いします！😰

54. 正解:(D) 動詞の形 ★★ 選択肢 Check! 動詞 publishのさまざまな形が並ぶ問題である。 解説 まず、この文には述語動詞がないので、入るのは述語動詞。 不定詞の(A) やing 形で始まる(B) は不適。次に by its marketing department に注目して、 catalog と空所の関係を考えると、「カタログはマーケティング部によって発表され る」と受け身になるはずである。受け身の形は(D) will be published である。 eM The Qapex Glass Co. product catalog online by its marketing ee ーハ department. カペックス·ガラス社の製品カタログは、マーケティング部によってネット上に発表される。 A) (さー) usoed (B eeelmu () (A) to publish 不定詞 (B) being published 現在分詞·受け身 (C) is publishing 現在進行形 (D) will be published 未来形·受け身 ( ー (5ー )9nle (0)

(ii)と(iii)がどうしてこうなるのか分かりません お願いします

b. [1+] Let t(n) be the number of total partitions of n, as defined in Exam- ple 5.2.5. Let g(n) have the same meaning as in Exercise 5.26. Deduce from (a) that g(n) = 2"t(n) for n >1. c. [2+] Give a simple combinatorial proof of (b). 5,37. a. [2+] Let 1=D po(x), pi(x), be a sequence of polynomials (with coeffi- cients in some field K of characteristic O0), with deg pn=n for all nE N. Show that the following four conditions are equivalent: ) Pn(x + y) =DE>o (") Pe(x)pnーk(y), for all n eN. (i) There exists a power series f(u)=aju+azu'+ E K [[u]] such that と P(x)- un expxf(u). (5.110) n! n>0 仮定 NOTE: The hypothesis that deg pPn=nimplies that aj ¥ 0. () E20 Pa(x) = (E>0 Pn(1)). (iv) There exists a linear operator Q on the vector space K[x] of all poly- nomials in x, with the following properties: ●Ox is a nonzero constant ●Qis a shift-invariant operator, i.e., for all aeK,Qcommutes with the shift operator E4 defined by E® p(x)=D p(x +a). ● We have Qpn(x) =D npn-1(x) for all n e P. NOTE: A sequence po, Pi, .. . of polynomials satisfying the above con- ditions is said to be of binomial tvpe. The operator Q is called a delta

赤く印したところ同士が同じものを示しているのはわかるのですが、なぜA×Bがこれらの式で表せるのかわかりません。なぜですか

5) A= Ai+Ayj+A,k, B= B,i+Byj+B,k ならば A×B= (A,B,-A,B,)i+(A;B.-A,B.)j+(AzB,-A,B.k (2.1) 5)は4)を使って示すことができる。 行列式(2-4 節で述べる)の記号と思いれば, ペクトル積は、 |4, A, j+ Bs |Az A |Ay A.| B。 Bu A×B- B, B。 三 i j k (2.8 =| A』 A, A,

この問題は自分でf(x)を求めて積分するという解釈で合っていますか？教えて欲しいです、よろしくお願いします

(1 point) You are given the four points in the plane A - (8,-2), B- (10,6), C = (12,-5), and D = (14,6). The graph of the 14 function f() consists of the three line segments AB, BC and CD. Find the integral | f(z) da by interpreting the integral in terms of sums and/or differences of areas of elementary figures. 14 f(z) da = 8

早稲田大学法学部2014年の問題の質問です “How was the movie last night,by the way?” “It was a little bit scary,but really impressing” という文章でimpressingを使うのは誤... Read More

英検準1級の英作文の添削をお願いします。 Points Construction costs Effect local people Spending by visitors The environment

Date No. Topic: Is it a good idea tar local govegnments to build touist sires, Such as theme parks and museums? I think it is nota good idea for local (3 governments to build touriT sites, sach as theme parks and museums. I have two reasons 7 to support my opinion in fems of construction Costs and the envinanmant. fist, bilding taurist sites Cost alot. For erample, local garernents shodd buy vast soil To bild taurist sies. Maay loal (6 govemments do net have rmuch raeonty because they have a lot of a things to 'de for local peple, so it is diffi ault to bil tourist sites. (2 Secende it is not good for the environment. If tourist sits are bilt, the envionmert would be boken down such as 破増さんら deferestation. I think proterting the_ environment is more inportant ? than building tarist sites. For these reasons, local goverments should not build tovist sites. la a