増減表のθの欄とxの欄が一致しているのはなぜですか？🙇🏻‍♀️ お願いいたします🙏

82 媒介変数で表された関数のグラフ x=0-sin0 xy 平面上で媒介変数 0を用いて =1-cos 0 (002)で表さ れる曲線C上の点Pにおける接線が軸の正方向とこの角をなすとき、 (2) 点Pの座標を求めよ. (1) Cのグラフをかけ. 精講 (1) 媒介変数で表された関数の微分については64 で学びました。 ここでは,それを用いてグラフをかく練習をしましょう。 最大の ヤマは増減表のかき方です。解答の中では,スペースの関係上, d²y 64 で求めた をそのまま(途中を省略して) 使ってあります. dx² (2) 直線とx軸の正方向とのなす角をαとすると(ただし、一 の直線の傾きは tana で表せます. (IIB ベク58) 解答 (1)002 のとき, 注参照 dx dy dy sinė =1-cos 0, =sin0 より de do dx 1-cos また, dy 1 |64 dx² (1-cos 0)² よって, グラフは上に凸 . また, dy -= 0 とすると sin0=0 ... dx |71 =(0<日<2より) 1-cos > 0 だから, 増減は右表のよう A 0 .*.* 2π π になる.また, 8 IC 0 TC ...2л dy lim dy =lim sin0(1+cos0 ) + 20 dx 0 +0 dx 0 +0 1-cos20 y 0 K 0 2 日 1+cos 0 =lim =+8 0+0 sine 0-2 =t とおくと, 0 2-0 のとき,t-0 lim -=lim dy 0-2л-0 sin (2+t) dx to 1-cos (2+t) 50 (5)

答えあっていますでしょうか😭😭 18番の訳が分からなくて、、教えてください、、😭😭

11. Examinations developed ( 試験 発達した 1 as a means 2 as mean ) of testing student knowledge. as a means of A Aaffe 3 mean ④ and betal meaning 12. I recently discovered that Walter and I are related. We are distant ( 1 ancestors 2 brothers 3 cousins 4 families <立命館大〉 〈南山大 > 13. He took out and loaded all his furniture onto the truck (by three) He (0) the landlord 取り出す 荷をつみこむ at three thirty in order to return the key to him. 家主 1 had a schedule for ・人と会う約束(予約) .8s bamboe Jac 飛行機・ホテル(予約) 3 made a reservation at 2 had an appointment with 4 made a promise with 〈文教大〉 alivy (of 1 discount 2fine 14. There is a five-dollar ( ) for late rental returns. 15. You'll have to pay an additional ( 3 payment 4 ticket 〈金城学院大〉 18 ) for private lessons. ⑨fee 専門家 に 支払う料金 ② fare 交通機関の 料金 3 fur 4 fear 〈 淑徳大〉 16. The ( 1 level 2 money 3 salary ) of living in Osaka has risen by three percent in the last five years. サラリーマンの 給料 4 cost 何かをするための 経費・費用 名詞の語法 〈摂南大〉 17. The department store has been losing more and more ( ) well, you should always remember the saying, "The customer is ①patients 2 customers 18. To serve your ( always right." ①co-workers clients ( (3) boss passengers ) because of this bad economy. audience 〈札幌学院大 〉 19. The mini bus can carry a maximum of twenty ( ①farmers 2 students 4 parents 〈麗澤大〉 ③ passengers #4 officers 〈高千穂大〉

答えあっていますでしょうか😭😭

これらののみものはすべてアルコールを含みません 27. All of these beverages are free of alcohol. slam ton bluoy L. car どれもとりそろえてる ( ① All of the beverages with alcohol are available. どれも安い ② All of the drinks with alcohol are inexpensive. どれもお金かからない of brs brudand M ④ None of these drinks have alcohol in them. ③ None of these alcoholic beverages cost money. アルコール入ってない 9169 <近畿大〉 Thob gasol elangor friend tends 4 ( )内の語を並べかえて適切な英文を作りなさい。 日本語が与えられているものは,その意味 になるように並べかえること。 意味の言語eriods (大河川奈 □ 28. They were afraid (someone / out / about / of / finding) the cheating. of finding out someone about 〈西南学院大 〉 □ 29. 今朝、 彼女はいつもより早く家を出た。 もしそうしなかったら、彼女は面接に間に合わなかっただ (大 13. ろう。 She left home earlier than usual this morning; otherwise, been/for / have / interview/ late / she / the / would ). ) lala ow bril 〈関西学院大〉 she would have been late for the interview 30. この日本の物語は、中国の古典文学に出てくるものとかなり似ています。 A This Japanese story is (appears / fairly / in/one / similar / that / to) Chinese classical literature. な with fairly similar to one that appears in 〈立命館大〉

形容詞、副詞のイディオムの問題です、答えあっていますでしょうか😭😭1、7、9の訳を教えて下さると助かります、、🥲🥲

1 英文中の空所に入る適切な語または語句を選択肢から選びなさい。 LE 1. She is a famous artist, known() her dynamic work. be known for AAで知られている 彼女は有名なアーティストで、 ①for ②by ③ to ④ at 〈中京大〉 もしあなたが事業を担当しているなら、あなたはそれに対して責任がある。 ) it. "be responsible for A ~を担当して ① critical of ~の責任者で ③ responsible for ② satisfied with (4 tired of Aに対して責任がある <専修大〉 2. If you are in charge of a project, you are ( 彼女は外交官になることを夢見ているが、彼女はその仕事のために英語が得意でないといけないことを知っている 3. She is dreaming of becoming a diplomat) but she knows she has to be good ( ) English (for the job) ① of ② at ③③ for ④ on > 私の息子が私に1等賞をとったとはなしたとき、私は彼を誇りに思った。 be good at A Aが得意である 〈清泉女子大 > 4. When my son told me that he had won first prize, I was very ( ) of him. be proud. eatool Aを誇りに思う A ① pride ② proudly ③ to pride ④proud ((大) 私たちはお金が不足していたので、タクシーではなくバスを利用した 5. We took a bus not a taxi, because we were ( 〈 名古屋学院大〉 now of cash be short of A Aが不足している ① few ② little ③ poor ④short 〈京都医療科学大〉 その女性は完全に他の問題 the trouble of others. be indifferent to AAに無関心である には興味がない。 6. The woman is quite ( かなり ① incapable ② incredible ③ independent indifferent 近い将来穀物生産は終了し、(B) 〈関西学院大 〉 )on 7. In the near future, grain production will end, and it will leave the country totally( imported grain. to be ① depend 2 independence (3 dependent 若い人々は求人市場の否定的な傾向を気にかける。 so be dependent on A Aに依存 ④ independent 8. Young people are a Bg by 7+ 1 1 1 1 1 6 arket ① disappointed that している <専修大〉 S ) negative trends in the job market. be concerned about A ② surprising about Aを気にかける <金) ③ boring with ④ concerned about 避妊のすべての形態に反対する保守的な立法者もいる。 buоTS TH ni lewe s < 東京都市大〉 9. Some conservative lawmakers are ( ) to all forms (of birth contro). be opposed to A (大平) bo ① against ② counter ③ disagree Patti 人に反対する opposed 〈 青山学院大 >

赤枠で囲ったところ この式にxをcos^2tに直接代入して赤枠＝cos^xとしてはいけないのはなぜですか？ 積分区間0→xで∮tcos^2tにはtにxを入れてx cos^2xをそのまま答えにしているのに、赤枠のとこはそれがなんでダメなのかなと思いました、、

(x-t)cos² tdt (8) F(x) = √(x = 105 x = T X S² cost dt - S² twost dt 0 = 1.9% cost dt + x cos – möße So cost dt = 41% ( 1 + cos 2t) dt = [++ sint] x+ x 1) F(x)=(x+t)sin tdt

56.58.60.61全然わかりません、、解説お願いします、、😭😭 他も答えあっていますでしょうか🥲🥲

56.Although I have been employed by the company since two years, I have received no increase in my salary of £30,000 a year. During that time the cost of living has risen considerably and I am finding it difficult to make ends meet. 〈上智大 > 57. Our teacher told us that we had to finish the report completely until the day after tomorrow. by 動作や状態が完了する期限 untill 状態の継続 @yntil by 58. 〈広島修道大〉 Although the recent decrease in their income, they decided to continue contributing to the charity foundation which provides financial support for orphans. <東京薬科大〉 ④ 59. The power failure in the entire city lasted for two hours, and electricity finally came back at three o'clock on the afternoon. ③ Coon the afternoon. at = 時刻 〈高崎経済大 〉 60. He went abroad with a view to broaden his mental horizons using the money he had earned doing a part time job. 61. The cost of living can be calculated in ① < 鎌倉女子大 〉 term of the average cost of life's basic necessities, such as food, clothing, and shelter. 3 次の日本文の意味になるように空所に適切な語を入れなさい。 62. 我々のリーダーを信じるかどうかは、あなた次第です。 〈南山大 > It's (up) to you whether you believe our leader or not. up to A A次第で<西南学院大) 63. 期末試験に代えて,レポートを書いてもらおうと思います。 place of A <静岡大) We'd like you to write a term paper in (place) of a final exam. in place of A Aの代わりに

三角関数 添付ファイルの問題について、よくわからないので、解説お願いします。ノートに書いてある部分までしかわかりません。

2sin x-√√3 cos:<√3 14

②なのですが、置換せずにそのまま解いたらダメでしょうか。

((c) 20052x=(-2Sinax Cost= 053x+3657 Date No. (2) 5/08* dx Jog'x E- 1095 Je 4 5 (095 1095 (+

X＝r cosθ 、Y＝r sinθとおくのは決まりみたいなものですか？？それと、1番最後の行のθ＝π/2を代入するのはなぜですか？お願いします😿

(3) 直交座標に関する方程式(x-1)'+y2=1の表す図形の極方程式を求めよ.

黄色線のhis business が 干渉しないよう という意味になるんですか😵‍💫

3,000 animated characters. 2 Blanc was born on May 30, 1908, in San Francisco, California. However, when he was a child, his family moved to Portland, Oregon, where he attended 問1の正解の根拠 ~へ引っ越した 〜に通った school. When he was young, a game he used to play by himself was to look at, よくしたものだ 一人で for example, a bird, and try to imagine what it would sound like if it could talk. Then, he would try to make the voice that he had imagined. 問1の正解の根拠 ~を集めた 問1の正解の根拠 3 In 1927, Blanc began working for a daily radio program. There, because the sponsors could not afford to hire more actors, Blanc used his own voice for many of the show's characters. After that, he moved to Los Angeles, California, where he joined Leon Schlesinger Productions, an animation studio that had assembled some of the greatest voice actors of the time. This company did the work for Warner Brothers, which developed the cartoons that made Blanc rotair lo subiq soloqu na diw envoys abiyong liw 4 Without a doubt, Blanc's most famous voice is that of Bugs Bunny, the star of the Warner Brothers animated line-up since 1940. Blanc not only provided Bugs Bunny a voice, but also a personality and his famous catch-phrase, "What's up, doc?" The team involved in creating Bugs was very careful about famous. 〜に関わった 問3の正解の根拠 giving him a personality that would be popular for everyone. They decided that Bugs would not be an unkind character; he would just always be peacefully minding his business until someone started trying to hurt him or make him do something he did not want to do. Then, he would fight back. Blanc was very JAKE 問3の正解の根拠 proud of Bugs and thought that the character could be a role model. He said, "Bugs does what most people would like to do but don't have the guts to do." 問2の正解の根拠 5 By the 1940s, Blanc was providing the voices for more than 90 percent of the Warner Brothers cartoon characters. To put that in perspective, from 1940 to 1959, Warner Brothers released almost provided about 540 voices during that time. それを総体的に見ると 600 cartoons. That means Blanc Through this time Blanc appeared on many radio and television programs. He provided the voices for the most 問1の正解の根拠 lovable side characters on extremely popular programs of those days. Then, in the 1960s, he voiced some of the characters in "The Flintstones," the first -126- 生 H