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Mathematics Senior High

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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English Senior High

英語の文法についてに質問です。 一と二枚目の緑の蛍光ペンのところの文法が合っているか確認していただきたいです。  三枚目に参考資料を載せてあります。 お願いします🙇‍♂️

CUTTING EDGE 1-05 絶滅危惧種の選定 Have you ever heard of the "quagga"? Perhaps not, but you may have seen a zebra before. (1)The zebra is a horse-like animal with 形M distinctive black and white stripes covering its body. The quagga was a member of the zebra family, brownish in colour with white stripes FOS around the neck and the front part of the body. (2)It is often said that quagga looked like "zebra which had forgotten to put on their pajama trousers." Quaggas lived in Southern Africa, but they died out in the 19th century due to overhunting. We can now only see their wild beauty as 3stuffed specimens. Some researchers, however, have tried to "revive" the quagga. Because of its attractive stripe pattern, the quagga has gathered much attention from those interested in animal conservation. Those who would like to see the animals walk around the savannas again have conducted the Quagga Project for over thirty years in South Africa. Fas 模様のない (3)It turns out that the quagga is genetically close to the plains zebra. In this project, researchers have attempted to selectively breed plains zebras: they chose plains zebras which have fewer stripes and look slightly like quaggas. Baby zebras born to a slightly quagga- like mother and father may look more like the quagga, with a 13 significantly reduced number of stripes. (4)This project has achieved a certain level of success, producing several lovely baby zebras which have striking similarities [to ] the quagga. . However, should we be happy about this? (5)While this new generation of zebras is visually impressive, it only resembles [X]

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