極限の問題です。分子の値をどうやって変形して極限を求めるんですか。

3. lim √√4+x-2 x→0 x

多様体を構成するために、位相空間に完全アトラスを導入するところで質問です。 完全アトラスを導入するメリットとして、この文章の下線部を「異なる座標系を用いたのに同じ計算ができてしまうという問題が解消される」解釈したのですが、そこがよくわかりません。座標系を変えて計算する... 続きを読む

1 Two n-dimensional coordinate systems & and ŋ in S overlap smoothly provided the functions on¯¹ and ŋo §¯¹ are both smooth. Explicitly, if : U → R" and ŋ: R", then ŋ 1 is defined on the open set ε (ur) → ° (UV) V and carries it to n(u)—while its inverse function § 4-1 runs in the opposite direction (see Figure 1). These functions are then required to be smooth in the usual Euclidean sense defined above. This condition is con- sidered to hold trivially if u and do not meet. Č (UV) R" Ĕ(U) n(UV) R" S n(v) Figure 1. 1. Definition. An atlas A of dimension n on a space S is a collection of n-dimensional coordinate systems in S such that (A1) each point of S is contained in the domain of some coordinate system in, and (A2) any two coordinate systems in ✅ overlap smoothly. An atlas on S makes it possible to do calculus consistently on all of S. But different atlases may produce the same calculus, a technical difficulty eliminated as follows. Call an atlas Con S complete if C contains each co- ordinate system in S that overlaps smoothly with every coordinate system in C. 2. Lemma. Each atlas ✅ on S is contained in a unique complete atlas. Proof. If has dimension n, let A' be the set of all n-dimensional coordinate systems in S that overlap smoothly with every one contained in A. (a) A' is an atlas (of the same dimension as ✅).

(10)の問題で2が答えになるのは意味的な選び方を除いて、文法的か選び方はあるのでしょうか？ 意味で考えたらAlthoughが適切だとは思うのですが、文法事項は考慮に入れなくて大丈夫でしょうか？ よろしくお願いします。

- (10) ( 1 Even Mariko studied hard for the final examination, she could not pass it. 2 Although 3 Since (11) My friends hope you'll come back soon and ( ). ④If

(9)の問題で何故2が答えになるのか、そして何故他の3つの答えが不正解なのかできるだけ詳細に文法事項を含めて教えて欲しいです。

(9)( ) with last year, statistics show a 15% reduction in burglary in this area. ①Comparing 2 Compared 3 Having compared ④Compare (10) ( ) Mariko studied hard for the final examination, she could not pass it.

写真下部右側She is met withからの文の文末にsucceedsが付いているのですが、これがなぜ動詞の形で文末に来ているのかが分かりません。どなたか教えてくださると嬉しいです。

gotten the case. Insightfully judging that media presence 1732 25 is the best way to get her demands met, she rents three billboards and prints offensive remarks on them, homing 718412-18 in on Willoughby, the widely respected chief of police. She 人の is met with fierce opposition from many, but her plan to 反社 しょう。 get her daughter's case back in the spotlight succeeds. Exc2003. 30 Despite this, in the end, the media changes sides and, watching her daughter's case fade out again, she learns that even fierce determination and resourceful thinking is not enough to get her needs addressed. Must she give Insightfu homing いを定 resou Three Billboards Outside Eb

写真１枚目の日本語分を英訳するという問題についてです。私は In addition to genes, aquired factors such as diet, smoking, drinking, stress, insufficent sleep and exerci... 続きを読む

LESSON 6 社会問題 「遺伝子検査の問題。 swab sample to a testing institute, one can know his or her risks of developing various diseases. The biggest issue is the accuracy of such Des tests. genetic testing venture 23andMe, dMe.Lin which Google has invested, has started offering the Personal Genome Service to "provide health reports on 254 diseases and conditions" for slightly less than $100. But the U.S. Food and Drug Administration in November 2013 ordered the company to halt the sales of its saliva collection kit due to concerns over the accuracy of its genetic examinations. (ア) 7 People need to be aware that the results of genetic testing only have a high degree of correlation with the risks for certain diseases. 遺伝子に 加えて、食事、喫煙、飲酒、ストレス、 睡眠不足、運動不足といった後天的 要素が、 癌を含むいくつかの病気の原因である。 Isals! 8 Users of genetic testing services should know that the discovery in genetic examinations of the presence of irregularities that raise the risk of developing certain diseases does not necessarily mean they will develop them. Y 9 So, it is not wise to rely solely on genetic testing. The results testing may cause some people to be unduly pessimistic about their future. The providers of genetic testing services must be careful when explaining C 30 9202 201 .) "Pros and cons es 2014/07/11>) g. nething to try or taking a sam xam. eing careless 即して日本 尿

1～4について、和訳はできるのですがどのように文を作ればいいのかさえ分かりません。一応解いてみたんですけど多分違うので教えてください。(関係代名詞は分かります)

A 間接疑問文 Step 1 B 注意すべき疑問詞疑問文 C 部分否定/二重否定 D A 第1文の内容を第2文に続けて、文を完成させなさい。 1. What does life mean? Does the Bible really explain...? Does the Bible really explan what life mean? 2. How many stars are there in space? No one knows... No one knows how many stars are there in space? 3. Is the castle open to visitors? Do you know...? Do you know what the castle open to visitors? 4. Did I pass the examination on Friday? I don't know I don't know bind ji bauol bus moon ym going bad 197

同一平面上にないの意味がいまいちわかりません 例えばこの図の場合OAベクトルとOCベクトルは同一平面上にあるんじゃないんですか？ それとも3つ全てのベクトルが同一平面上でなければ一次独立と言えるんですか？

70-101 ベクトルの1次結合, 1次独立 4点 0, A,B,Cについて, OA=4,OB=6, OC = とする. いま, d, がい ずれもでなく、いずれも平行でなく、3つが同一平面上にはないとする.すなわち、 4点 0, A,B,Cが同一平面上にないとする. これを、a,b,cが1次独立であるという. d. 6,こが1次独立のとき、空間上に点Pをとる. こ のとき,Pが平面OAB 上, OBC 上, OCA 上のいずれでも なければ,直線OA 上, OB 上, OC 上にそれぞれ A', B', C'をとり, 0, A', B', C', P を頂点とする平行六面体が作 れる.このとき 20 OP=OA+OB'+OC' であり, OA'=sd, OB'=t6, OC'=udを満たす s, t,uがそれぞれただ1つ定まる。 P が平面OAB, OBC, OCA のいずれかの上にあるときも、同様にs, t,uがただ1つ定ま H B B' の形でただ1通りに表される. AMINAT O A 点A(3. d, 6,こが1次独立のとき, 空間上の任意のベクトルプは p=sa+to+uc (1次結合)/ W)+ ((S

至急おねがいします！！ 7 5 2 1 6 4 3 かなと思うんですけど間違ってますか？ (2)(3)特に自信ないです、、、

第3問 空所に入る適当な語句を,下から1つずつ選べ。 ただし, 同じ番号を繰り返し使っては ならない。 なお, 文頭に置く語も小文字で始めてある。 (1) [ 1 ] comes late cannot take the examination. She doesn't know [ 2 ] she should help the old woman. (3) [3] she will leave Japan is certain. (4) He told me a lie, [ 4 ] made me angry. (5) I want to know [ 5 ] he said about my parents. (6) Walk fast, [ 6 ] we will overtake them. (7) [ 7 ] much he eats, he never gets fat. which 2 that 3 however 4 and 5 how 6 what whoever

至急！！！明日面接なんですが、最近のニュースで大谷翔平選手の小学校へのグローブ寄付？について話そうと思います。 文章がなかなかつくれないので誰か作ってくださる方いませんか、、？😭 他の候補もあるのでそれでもいいのでお願いします！ ．飛行機事故の客室乗務員の対応 ．月の探査機の上陸