英検準1級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。 Points Effect on work Social lives Shared interests Personal relationships

Date No. Topici Agree or disagree : The Internet has made people mere Sacialy isolated I disagree with the idea that the Irntenet has made people more- Socielly isolafed.T have two ressons to suppoct my opinon 8 in terms of shered interests and personal relationship. Fist. people Can Cantact with other peple who have same a interests, For exaple. peaple search other people and share a lot of inforermtion aboust their interests. It is impor tant 10 tor them to erevbt from i solation. Second pesele ron keep in tauch with other people esily. 10 For instence, worker contact wirth other workers on the Internet lo wehon they are diferent place each other. I think pegple (0 who can Connect the Internet would not be iselated. a For these reasons, the Intemet has not mode people more Socialy isalated

英検準1級の英作文の添削をお願いします。

Date No. Topic: Do you to fural areas after retirement? think that it is beneticial to move from urban cities I de not think it is beneficial to move from urban cities p nural areas affer retirement. I have two reasorns to support my opinion in terms of corvenience and isolation. Fist, urben Life is more Convenient than raral Life. a For example, we can buy things what we want immediately (0 because there are. many stores near our house, Also. there are. 17 a lot of trains lines, so wrban plople are enable to (テ go eaythae Second. urban ife is hot iselation, If we live rural areas, 1 we wnuld not be saved by other pegple when a catastoraphy Occers, I think Some buildings built at urban area are. satey (1 than rural area's brilding. For these reasons, I think moving fom urban cities to rural areas is pot beneficial. 126words Ch

多様体の接空間に関する基底定理の証明です。g(q)=∫〜と定義した関数を微積分学の基本定理を用いながら変形してg(q)=g(0)+∑gᵢuⁱと導出するのですが、これがうまくいきません。 自分は、g(q)の式をまず両辺tで微分して、次に両辺uⁱで積分して、最後に両辺tで積分... Read More

12. Theorem.If{ = (x', , x") is a coordinate system in M at p, then its coordinate vectors d, lp, …… 0,l, forma basis for the tangent space T,(M); and D= E(x) 。 i=1 for all ve T(M). Proof. By the preceding remarks we can work solely on the coordinate neighborhood of G. Since u(c) = Othere is no loss of generality in assuming ど(p) = 0eR". Shrinking W if necessary gives E(W) = {qe R":|q| < } for some 8. Ifg is a smooth function on E(W) then for each 1 <isndefine og (tq) dt du g(9) = for all qe {(W). It follows using the fundamental theorem of calculus that g= g(0) + E&,u' on (W). Thus if fe &(M), setting g = f。' yields f= f(P) + Ex on U. Applying d/ax' gives f(p) = (f /0x)(P). Thus applying the tangent vector e to the formula gives (f) = 0+ E(x'(p) + E Ap)u(x) = E(Px). ず ax Since this holds for all f e &(M), the tangent vectors v and Z Ux') d,l, are equal. It remains to show that the coordinate vectors are linearly independent. But if ) a, o.l, = 0, then application to x' yields dxi 0=24 (P) = 2q d」= 4. In particular the (vector space) dimension of T,(M) is the same as the dimension of M.

波線を引いた式の導出がよく分かりません。u~²を展開して整理するとたしかに1-e²/2は出てくるのですが、eφsinφなどはどうしたら出てくるのでしょうか？

To see this, recall from Appendix C that the Newtonian orbit equation (d'u/dp?)+ u= M/L? has à = helion at p = 0. The hypotheses imply r> L»M SO this is close to the relativistic solution. To obtain a more refined approximation, we use ü in (M/L")(1 + e cos φ) as solution with peri- the relativistic correction term thus 代人 (d'u/dp?) + u = (M/L?) + 3Mz?. A routine computation gives 3m3 (1+e cos p)+ L e? e? 1+ 2 M cos 2p + ep Sin p 6 u= L? as the solution with perihelion at φ = 0. To find the next perihelion we need 3M°ele p+ L* du Me sin L? sin 2p + sinφ+p cos φ 3 dp

英作文の添削をしていただきたいです。よろしくお願いします。見にくいところがあれば言ってください。

Date No. Topic: Da you think that unhedthy fod and drink should be tared at a higher rate than healthy fod? (20- 150vods) agre with the idea that wnheathy food and drink shauld be taxed at a higher rate than healthy food. I have two reasons to support my opineh. Ficst, the number ot peaptle that have an illnes will deerease. Many Jopenese peaple eat wabealitby foad such as fast fed (ロ se patients incease becasse of haring unheaty food. Theretore, it is god for us to decrese oppotuniy of haring the food Second, we can use tax for inventing healthy food. Vnhealthy fod is sold at a lot of super market. a I hink healty fod shadd be insteaded of unhealty fod l0 Heathy food will incre ase by using tar f uaheathy foed lo For these reasens, being tored at_a higher rate is the good iden 13 (12/ mnd) こ Co こ

下線部のwhileをどう扱ったらいいかわかりません

33 〈what S be>はT(い つ 次の英文の下線部を訳しなさい 目 September dropped by nearly eighty as compared with the previo September. This is very well so far as it goes, but the improvement will probably not be kept up and meanwhile everyone. knows that you can't solve the problem while our traffic system remains what it is. (駿河台大)

熱力学について質問です。 問題文の一定の外圧1.00atmをどう扱ったら良いかよく分かりません。自分でとりあえず解いてみたんですが合ってる自信あまりないです。もし分かる方いらっしゃいましたら、ご教授していただけませんか？🙇‍♂️

Problem 2 A sample consisting of 1.00 mol of perfect gas molecules at 300 K is expanded isothermally from initial pressure of 3.00 atm of a final pressure of 1.00 atm against a constant external pressure of 1.00 atm. Determine the values of q, w, AU, AH, AS, ASsur, and AStotal. 300Kにある完全気体 1.00mol の試料が、 温度一定で始めの圧力 3.00 atm から終わりの圧 カ 1.00 atm まで、一定の外圧 1.00 atm に抗して、 膨張する。 この過程に対して、9, w, AU,AH, AS, AS r, ASiosal を求めよ。 管品可運勝張より、Tが喫化しないためるリ=D 始めの体様をV終わりの体殊をソュとおくと. V, = 8.314× 300 スH- AU + PAV 1660 [コ] 1660 8.21×(o°[m] AS = = 5.53 [h] 300 ニ 3×1, 013 × /D" Vz = 8.314x300 1.013× [0 外界が理た熱置はdisur = -AHよ) = 0.0276 [m] ASsur- 「desur T 1660 300-5.53[7h] Pdv = -1.013 x /0°x (0.0246- 8.21Y16') - こ M AStotal こ AS + ASU- = -1660 LJ] AV= 9+ W より 1 - -w- 1660[5] 0 Problem 3 Calculate the change in the molar entropy at 1 atm when a solid ethanol at 159 K of the melting point changes

合ってますか？？

(1) 三角形ABCを原点を中心に120°だけ回転移動して できた三角形A'B'C'について, Aの座標が(2, 1)で あるとき,A'の座標を求めなさい。 (2) 三角形ABCを原点を中心に75°だけ回転移動して できた三角形A'B'C'について,Bの座標が(6,2)で あるとき,B'の座標を求めなさい。

このsとかgはどういう意味ですか？

Na(s) Na (g)

どうやって解くのか全くわかりません、、！！教えてください🙇‍♂️ よろしくお願いします！

(1 point) Solve the equation -9z + 8y + 9z=D0 =S +t