Z会の理系数学入試の核心 標準編 133番の(3)で、どうしてこのグラフになるのかと、積分の区間が、0→π/3から、0→1/√3 にどうやったら、変化するのかわかりません。

133 Lv.★★★ t=tan - とおく 2 このとき,次の各問に答えよ。 dt (1) をtを用いて表せ。 dx (2) cosx をtを用いて表せ。 (3) 曲線 y= 1 COS X 面積Sを求めよ。 解答は206ページ・ ........ CHIL と2直線x=0,x= およびx軸で囲まれた部分の グラフの書き方 (山形大)

この問題は一応解きましたが答えが合ってるのか分かりません💦わかる方回答だけでもいいので教えていただきたいです！

☆ LESSON 不定詞 B 次の各文の下線部の中には1箇所ずつ文法上、語法上の誤りがある. その番号を指摘し、正し い形に直しなさい. 19. Although we are concerned with the problem of energy sources, we fail recognizing the need for environmental protection. fail + to + do 4 to recogniz 20. According to some scientists, the key to understanding how the brain works is 22. 21. He tried to solve the question, only finding no answer. solve 23. must not (明治学院大) to understanding how the billions of cells in the brain get connected during to understand (中央大) the process of development. There are many foreigners who say that Japan there were no earthquakes. (東京農業大) (関西学院大) How clever for you to buy chocolate chip cookies - they are my favorite. of you would be safer to live if would be safer to (it) in

共テ模試問題なのですが、何を言っているのかさっぱりなので教えてください。

(最密充填層) 問5 金 Au の結晶は面心立方格子であり, Au 原子が最出に が積み重なった構造 (最密構造)をとっている。 そこで, 厚さ(cm) の金箔は Au 原子の最密充填層が何層積み重なっているかを考察することにした。 文献を調べてみると、Au 原子の半程から、整備奮質層が何層積み重なってい いるかを求められることがわかった。そこで、最密構造と面心立方格子についてい 得られた情報をまとめてみた。 最密構造の1層目の最密充填層(これをA層とする) では,各原子が周囲6 個の原子と接している(図3ア)。2層目の最密充填層(これをB層とする)では、 原子はA層の3個の原子がつくるすき間 X の位置に入る (図3)。 面心立方 格子では,さらにA層のすき間Yの真上の位置に3層目の最密充填層(これを C層とする)の原子が入る(図3ウ)。 面心立方格子は,これら3つの最密充填 層がA層→B層→C層→A層→B層→C層→A層……のように繰り 返すことで,原子が積み重なってできている (図3エ )。 ☆ De- A層の原子 ア B層の原子 C層の原子 イ ウ 図3 面心立方格子における原子の積み重なり方 -94- I A層 C層 B層 A層 C層 B層 A層 図4才は, A層→B層→C層→A層の4層から一部の原子を取り出した のであり, これを斜めから見ると図4カのように立方体になっていることが 化学 わかる。図4キは、この立方体における原子の配置を示したもので1層目(A 層)の原子Aの中心とその真上の4層目(A層) の原子 A2の中心を結ぶ線が立 方体の対角線になっている。 図4クは原子 Ai, B1,B2, Ci, C2, Azの中心を 通る断面の図である。 B1 A1 ① B2 √6 キ 3 オ AM C層 B層 A層 A2 ++ 図4 面心立方格子の単位格子 a B1 /6 A1 2 すで 以上の情報から, Au 原子の半径をx(cm) とすると, 厚さ(cm)の金箔は, Au 原子の最密充填層が何層積み重なってできていると考えられるか。 層の数を 表す式として最も適当なものを、次の①~④のうちから一つ選べ。ただし,αの 値は,の値に比べてきわめて大きいものとする。 6 層 カ - 95- a 2√6 3 Ü Y B2 ク A2 C 2 2r

写真の問題の赤線部についてですが、なぜn≧1と書く必要があるのでしょうか？ その上の行でΣとCをすでに使っていますが、ΣとCのnの部分は定義から、n≧1だから、赤線部の前にn≧1という条件はすでに考慮してるのではないのでしょうか？解説おねがいします。

基礎問 P 44 はさみうちの原理(I) 次の問いに答えよ. (1) すべての自然数nに対して,2"> n を示せ. AOAO k-1 (2) 数列の和 S. = 2 (1) anで表せ△〇〇〇 k=1 (3) lim Sm を求めよ. △△△△ n→∞ |精講 (1) 考え方は2つあります。 I. (整数)” を整式につなげたいとき, 2項定理を考えます. PROCE (数学ⅡI・B4 ⅡI. 自然数に関する命題の証明は帰納法 (数学ⅡI・B 136 Fet (2) Σ計算では重要なタイプです. (数学ⅡB 120 S=Σ(kの1次式) k+c (r≠1) は S-S を計算します. (3) 極限が直接求めにくいとき, 「はさみうちの原理」という考え方を用います. bn≦an≦en のとき limb=limcn = α ならば liman=α n→ 00 n→∞ n→∞ この考え方を使う問題は,ほとんどの場合,設問の文章にある特徴がありま す. (ポイント) どういう意味? 解答 (1) (解I)(2項定理を使って示す方法) n (x+1)=2nCkck に x=1 を代入すると k=0 2"=nCo+nC1+nC2+..+nCn ¹) n=1 F²³5, 2²nCo+nC₁=1+n>newhere 2">n ( 解ⅡI) (数学的帰納法を使って示す方法 ) 2"> n (i) n=1のとき 左辺=2,右辺=1 だから, ①は成りたつ

visionQuestの問題です お時間があれば日本語訳もお願いしたいです🙇‍♂️

Try it out! 1( )内から適切な語を選んで、文を完成させましょう。 1. The student council president ( said / told ), "Let's make our school better." 2. The teacher (said / asked ) the students about the causes behind the aging population of Japan. 3. The officer (suggested / told) him to obey the rules of the road. 4. She (asked/told ) her boss if she could leave the office early. 5. The doctor (said / advised) me not to eat highly processed foods.

こちらの問題の答えと、その理由を教えてください！

|PART 6 Text Completion (長文穴埋め問題) (4問) 次の文の4つの空欄に一番適当と思われる答を A B CD) から選びなさい。 Text: Product Information nt (0) There is a new and exciting vegetable turning up on plates in homes and restaurants everywhere. This formerly "boring" vegetable is suddenly flying the supermarket shelves and selling like hotcakes. What is it? Believe 1. it or not, it's cauliflower. This versatile veggie can be mashed, roasted, or fried like a steak. Driven by consumers' interest in alternatives to white rice and white bread, demand for cauliflower has skyrocketed. It has been everything from starters to pizza crust. It makes an excellent substitute potatoes and even for rice. 26 "Cauliflower rice" is made by running the cauliflower through a food processor and then lightly cooking the pieces in oil. It contains one-tenth the calories of white rice and is a good source of vitamin C. It's become so popular that some supermarkets are limiting customers to just two bags.--.--. So if you want to freshen up your dinner table, you can't go wrong with good old cauliflower. 4. 1. (A) away (B) into (C) above (D) off 2. (A) turned into (B) turned up (C) turned on (D) turned around 3. (A) to 2. 3. (B) from (C) for (D) with

並べ替え問題よろしくお願いします🙇‍♀️ (1)There have been suggestions that a diet high in processed meat may ( ) ( ) ( ) ( ) ( ) esophageal cancer. ①risk... 続きを読む

黄色所の直訳教えてほしいです

[英文] A trophic cascade is an ecological process which starts at the top of the food chain and tumbles all the way down to the bottom, and the classic example is what happened in the Yellowstone National Park in the United States when wolves were reintroduced in 1995.

2枚目の写真の1でdがどこに書いてあるかわかりません🙏

7 英文を読んで、設問に答えなさい。 【思考・判断・表現】 (12) S Accessibility is not the norm for over 1 billion people in the world with disabilities. People with disabilities face a whole different world than the one non-disabled people live in. Thus, creating safe, comfortable, and barrier-free cities and infrastructure is urgent. Yet, accessibility for all is a matter that should draw much more attention than it is now since as we grow old, we may all need it at some point in our lives, (To enhance accessibility for wheelchair users, we can install elevators in buildings ✓高める 設 O in addition to stairways and provide adapted equipment such as screen readers for visually *impaired people to use their smartphones. AaB But, considering there are many different types of disabilities, can there be one solution to suit everybody? How can we design for all? Vi S We must remember that accessibility for all concerns and impacts all aspects of our Vt lives: whether we are shopping, commuting, using our phones, wandering in a museum, S V₁ or the streets... In sum, we must change the city organization itself. O Designers and architects need to create buildings where disabled people can get V+ S around freely and without help from other people. They will need to encounter those 移動する a who face the problems in their everyday lives to understand how to implement the 実行する solutions that are truly useful and helpful for all. The key component of *inclusive I'VE s P. あらゆる人を 2. 受け入 C 3.

付箋で示した行のas ifばどういう意味ですか？

sual place. They as taken off the wall by the official museum photographer so he could shoot pictures of it up in his studio By Tuesday morning, when the Sat: painting ( Vreturned and it was not in 2 the photographer's studio, museum officials were notified. The painting was Once the Marn s gone! news became public, French newspapers made several claims as to the nature of the theft. One newspaper *proclaimed that an American collector stole the work and would have an exact copy made which would be returned to the museum. This collector" would then keep the original. Another newspaper said that the entire incident was a *hoax V+ 6 to show how easy it was to steal from the Louvre. Many people were questioned about the theft from museum employees to people who worked or lived nearby, Perhaps somebody ( 3go) someone acting *suspiciously? The police even questioned Pablo Picasso. Picasso had previously bought two stone *sculptures ( from a friend named Pieret. Pieret ( 4 ) these pieces from the Louvre months before V1. the Mona Lisa was stolen. After an *interrogation, the police concluded that Picasso knew nothing about the theft of the Mona Lisa. V+ 9 Luckily, the painting was recovered 27 months after it was stolen, An Italian man named Vincenzo Perugia tried to sell the work/to a gallery in Florence, Italy, for $100,000. Perugia claimed that he stole the work out of *patriotism. He didn't think such a work by famous Italian in France. What Perugia didn't realize was that although the Mona Lisa was probably painted in Italy, Leonardo took it with him to France and sold it 100 COOK 10 to *King Francis I for 4,000 gold coins. 861 od gainob 5 4