確率の勉強をしている学生なのですが、この問題が分かりません。どなたか教えていただけませんか。

練習問題 1.8 (積率母関数) X を非負の確率変数とし, x(t) = Eetx は全てのt∈ に対して有限であると仮定する.さらに,全てのt∈ R に対し E [XetX] < ∞ であると仮定する.この練習問題の目的は, '(t) = E [Xetx] で あり、特に'(0)=EX であることを示すことである。 微分の定義, すなわち次式を思い出そう. 4'(t) = lim x(t) - (s) lim st t-s st EetxEesx t-s 「etx = lim E st t-s 上式の極限は,連続な変数sについて取っているが,t に収束する実数列{8}n=1を 選ぶことができ, 次を計算すればよい. 「etx e³n X lim E sn→t t-Sn これは、次の確率変数の列 etx -enx Yn = t-Sn の期待値の極限を取っていることになる.もしこの極限が, t に収束する列{Sn}=1 の選び方によらず同じ値になるならば、この極限も limotE [ex と同じで,そ れは '(t) である. .tx sx ← -e t-s 解析学の平均値の定理の主張は,もしf(t) が微分可能な関数ならば、任意の実数 s ともに対し,stの間の値の実数0で次を満たすものが存在するというものである. f(t)-f(s) =f' (0) (t-s). もしweΩを固定し,f(t) = etx(w) を定義すると,この式は, etX(w)_esx(w)=(t-s) X (w)e (w)x(w) (1.9.1) となる.ただし,(ω) はωに依存する実数 (すなわち,tとsの間の値を取る確率変 数)である. (i) 優収束定理 (14.9) (191) 式を使って,次を示せ. lim EY = Elim Yn=E [XetX] . (1.9.2) n→∞ [n→∞ このことから,求める式 4'(t) [XetX ] が導かれる. (ii) 確率変数 X は正の値も負の値も取り得、全てのt∈Rに対し Eetx < かつ E [|X|etX] < ∞ であると仮定する。 再度 '(t) = E [XetX] を示せ(ヒント: (1.3.1) 式の記号を使って X = X + - X- とせよ . )

わかる方が居られないかもしれませんが、分からないので質問させてください。 形態論の形成過程の問題なのですが、この単語以外に有名かつ知っておいた方がいい英単語はありますか？ よろしくお願いします。ちなみに混成や頭文字語、短縮などが答えです。

b. Japan Olympic Committee chairman unreliableness [ヒント: un- は形容詞に付き, -ness は形容詞に付く。] C. d. unlockable[E>Flock (hã.] (7) 次の語の形成過程を説明しなさい(複数の語形成過程が関わる場合もある)。 b. fridge C. loveliest e. f. h. i. a. Internet d. g. weaknesses PTA whale-watching PET (bottle) astrology She sugared her coffee.

この文章の和訳を誰かしていただけないでしょうか😢 英語が苦手で、、、。よろしくお願いします！

19,20 Friday, Feb. 26, 2021 O French safety officials the 写真提供:ロイターアフ。 safety official 安全局合。 on Thursday gave green light to extend the lifetime of the FESSENHEI/ 35 eDF country's oldest nuclear power plants as it seeks to boost the share of renewable 再生可能エネ ルギー mix. renewables in its power の Nuclear energy currently provides nearly 70 10 French electricity, more than in OFrance, hoping to reduce that share to 50 percent by 2035 percent of any other country. obs91 910a8 ーa target pushed back from an earlier 2025 date the help of renewables, has been holding off from building with hold off 控える、見合わ せる new reactors. 15 The French nuclear safety authority(ASN) said the country's 32 plants with 900 megawatt capacity, built mostly in the 1980s, would be allowed to operate for another nuclear safety authority 原子力安全局 decade, taking their potential lifespan to 50 initially planned 40. 20 6 They will therefore not be decommissioned before the late years from the uohee) 活導大 2020s or even late 2030s, depending on their initial launch date. 6 The safety of French nuclear plants is checked every bse 01nla8 decade. s の ASN asked state-controlled electricity provider EDF, which EDF フランス電力 the country's nuclear plants, to undertake work to safeguard the stations' security. “The main target was to limit the consequences of accident, especially any serious accident involving the manages any necessary any meltdown of a reactor," ASN's deputy director-general Julien

このプリントの日本語訳を教えてください

ER 試験に出る単語など 未習長文A インフォメーションリスト 単語など 定義·例文情報 現代美時信: Contemporary | contemporary art works be pleased to Japan Museumis pleased to present 'Sōsaku hanga. exhibition Collection of things, for example works of art, that are shown to the public. feature The hotel features a magnificent ocean view. Lacquerware are objects decoratively covered with lacquer. The work of a joiner. lacquerware joinery Coat a metal coated with gold Lacquer sap has been used by humans from long time ago. It was treated as a luxury item. sap resistant heat-resistant moisture small amount of water that are present in the air. decorative a decorative design sprinkle Silver powder is sprinkled on its surface. appear Dimples appear on her cheeks when she smiles. range We sell a wide range of goods. a box, bottle, etc. a pot or other object made of clay that has been made permanently hard by Container ceramic heat bowl tea bowl glue a sticky substance that is used for joining things together transform The new bridge will transform the island's tourism industry. emphasize give special importance to something highlight emphasize imperfection a fault or weakness in something a skilled person, especially one who makes beautiful things by hand craftsman specific specific regions of Afirica metallic powder metallic

対数微分法を使ってこの関数の導関数を求めるとはどういうことでしょうか？解答までの過程も含めて教えてください。

8. Use logarithmic differentiation (封教微分法) to find the derivative of the function y= xVx? +1 x>0. 2/3 ラ (x+1)?3

読み方がわかりませ？

/18 30秒) 1 次の文が下線部Oと同じ意味になるように、( )に適切な語を入れなさい。 (完着8点) mo ( ) ( ax) for 40 years in which creative writing ( at the talent ication, can is it that a 2(0)に入れるのに最も適切な語句をa~dの中から選び, 記号で答えなさい。 (8点) a. had b. had been C. has d. have vears, has 3( ③ )に入れるのに最も適切な語をa~dの中から選び, 記号で答えなさい。 (8点) Creative a. guilty b./ successful suitable d. wrong C. v, was to writers, 4 第1~3段落の内容と一致するものをa~eの中から2つ選び, 記号で答えなさい。(完答10点) rse. i bodeinn d w 1 The talent needed to write a novelmust be developed in university courses. a. y those ut they -hieved b. If creative writing not really a skill that can be taught in university courses, one cannot explain how the UEA's course has produced so many successful writers. About 40 years ago, the creative writing course at UEA was established to C to be train future writers, but now its original purpose has totally changed. d. Some in the literary world were doubtful of the UEA's creative writing course, ed as claiming that the craft of writing fiction should not be taught at universities. e. The creative writing course at UEA is so popular that every student who applies is accepted to the course. ain's most nual 5 第4~6段落の内容と一致するものを a~eの中から2つ選び, 記号で答えなさい。(完答10点) not a. Rose Tremain, a former student of UEA, is writinga success story about the DSd beti creative writing course. m re b. Those who achieve excellent grades in UEA's course are promised to have 1. their works published. S c. The author of The Underground Man, Mick Jackson, feels that UEA's course was useful to him in his career as a writer. d. Students of the creative writing course at UEA come together to talk about strengths and weaknesses of each other's writing. e. Mick Jackson describes the education system in the creative writing course as a “support mechanism” because its program provides the opportunity to work on his own. 解答·解説集 p.16 か を世料する |重要単語·熟語チェック 辞書で意味を確認しよう 1. the case /6a kérs/ 圏 4. acknowledge /akná:lid3/画® 2.a succession of ~ 5.criticize /kritasàrz/■ ® 分の様にする 6. pursuit /pars(j)ú:t/図 3. take credit for ~

至急これの解き方教えてください🙇‍♂️

(2) (2+y)+(ー)=D0

scientists who 〜 suggest it may have weakened〜 の箇所なのですが suggestは提案系の動詞なのでmay have〜は形が不適切なのではと思うのですがどうなんでしょうか