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数学 高校生

赤く丸をしたbの問題で解答の方に二階微分した後の式がなぜ(-1/4)(-1/4)(H-27)になるのか分かりません。教えてください🙇‍♀️

QA At time t = 0, a boiled potato is taken from a pot on a stove and left to cool in a kitchen. The internal temperature of the potato is 91 degrees Celsius (°C) at time t = 0, and the internal temperature of the potato is greater than 27°C for all times t > 0. The internal temperature of the potato at time t minutes can be modeled by the function H that satisfies the differential equation dH (H- (H-27), where H(t) is dt measured in degrees Celsius and H(0) = 91. (a) Write an equation for the line tangent to the graph of Hat t = 0. Use this equation to approximate the internal temperature of the potato at time t = 3. (b) Use 2017 APⓇ CALCULUS AB FREE-RESPONSE QUESTIONS (a) dH d²H dt² to determine whether your answer in part (a) is an underestimate or an overestimate of the internal temperature of the potato at time t = 3. (c) For t < 10, an alternate model for the internal temperature of the potato at time 7 minutes is the function -= − (G - 27)²/3, where G(t) is measured in degrees Celsius dG G that satisfies the differential equation dt and G(0) = 91. Find an expression for G(t). Based on this model, what is the internal temperature of the potato at time t = 3 ? 564 at (21-27) - == 2-16 To = - = (H(3)-27) 4 -64 = HB)-27 -37 = H (3) (b) _d²fi © 2017 The College Board. Visit the College Board on the Web: www.collegeboard.org. GO ON TO THE NEXT P

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数学 高校生

(2)の ∵(1) の行から分かりません... どなたか教えてください

導関数 93 (1) f(x), g(x) をxの整式とするとき, 次の等式を証明せよ。 {ƒ(x)g(x)}'=f'(x)g(x)+ƒ(x)g'(x) (2) f(x) を0でないæの整式とする. 自然数nについて d ¹/__ { f(x)}" =n{f(x)}"~¹ƒ'(x) dx であることを証明せよ. 精講 の特殊な例です. どちらも数学Ⅲで 扱うものですが、知っておいて損はないでしょう. (1) 導関数 f'(x) の定義から出発しましょう. 関数 y=f(x) が与えられたとき、xのおのお のの値αに対し,f'(a) が存在するとき, 対応 a→f'(a)は1つの新しい関数となります。 これはf(x) から導かれた新しい関数ですから, f(x) の導関数 (derived function, derivative) といい, f'(x) と表します。 (x)^x=(1) f'(x)=lim f(x+h) -f(x) h h→0 f(x) から f'(x) を求めることを微分するとい います. 導関数の表し方は f'(x) のほかに dy d y', y, dr' anf(x), Df(z) (1) は積の微分, (2) は合成関数の微分 解法のプロセス dy などもあります。」はニュートン, dx (1) {f(x)g(x)}' =lim h→0 BROSSARD a 213 ニッツが用いた記号です. (2) 自然数nについての証明問題ですから,数 学的帰納法を使うとよいでしょう. f(x+h)g(x+h)-f(x)g(x) =lim h→0 はライプ 解答 (1)積の微分 iu-te {f(x)g(x)} 導関数 f'(x) の定義 ↓ f(x+h)-f(x) h lim- h-0 ↓ (滋賀大) =f'(x)g(x)+f(x)g'(x) (2) 合成関数の微分 {(f(x))"}' =n{f(x)}"-¹f'(x) AJSHOW 特に {(ax+b)"}' =na(ax+b)-1 この公式は使えるようにして おこう {f(x+h)-f(x)}g(x+h)+f(x){g(x+h)-g(x)} 導関数の定義 ◆f'(x), g'(x) が現れ るように工夫する 第6

解決済み 回答数: 1
英語 高校生

visionQuestの11の1です。 答えと日本語訳を教えて欲しいです🙇🏻‍♂️

Function 提案する £ nois 1. "Why don't we hang out with him?" "OK. / Yes, let's. /I'd rather not." 2. "I suggest that we try another approach." "Why not? / I don't see why we shouldn't." 3. "I exercise every day." "It might be better to stop exercising when you feel sick.” Tips! 相手の意向を尊重しつつ提案する丁寧な表現 It might be better to talk face-to-face. Try it out! dooods a produ 内の語句を並べかえて、英文を完成させましょう。 ex. ( 1. (as/as / good / is/ that one / this watch). Which do you think is better? 2. (as/as/ the piano / my sister / well / plays / you) She is a good singer. 3. The Panama Canal (as / as / long /is/ the Suez Canal / not ). I agree. ( に入る最も適切な語を考えてみましょう。 1. "Nancy is a good singer." "Yes. Her sister also sings as ) ( 2. "My mother wakes me up every day. I don't get up (unten) ( have never ) her." "You should set an alarm clock." 3. "Our town is growing fast." "There are now three ( (fim plays ter) restaurants as the next town." Fall 4. "Which is (nys tennis ( ) ( 5. "Kevin arrived at three." "I arrived at 2:45, ( than him." 6. "This movie is 主張 slu af Ip) interesting ) ( th) of the two bags?" "The red one is bigger." )()( EM ) ( ) her." "Thanks. I'll watch it." 7. "The population of Japan is about ( ) ( of France." "Yes. France has half the population of Japan." Which c bhow edi ma voel om oni to ono ar sh 13 ペアになって、あなたの価値観について尋ね合いましょう。 追加の質問をして会話を続けてみよう。 1. Who in your class runs as fast as you? ex. Manami does. 2. Which do you think is more important, money or love? ex. I think love is more important because everyone needs to be loved. that one." ) as that 3. Which do you choose, cheaper T-shirts or more expensive ones? ex. I choose expensive ones because I like the style. al en arb Use it 本と映画のどちらが好きですか。 そのことについて3つの文を書いてみよう。 主張 I think books are more interesting than movies. 理由 Books stimulate our imagination. 論拠 We can have more vivid images in our minds when reading a book. Lesson

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