モデル式と兎の数

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  • モデル式が R=A sin Bt + c の形である。
  • 初期の兎の数は1200匹。
  • 兎の最大数は1600匹である。
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R=A sin Bt + c　質問英文です

問題 The number of rabbits on an island is monitored for one year which is approximated at 360 days which is the period of the model. The number of rabbits at any time can be modeled by the equation R=A sin Bt + c　(1) The number of rabbits on the island is initially estimated to be 1200. (2) The maximum number of rabbits is estimated to be 1600. (3) the number of rabbits initially declines before increasing again. (4) Find the equation of the model and use it to calculate how many rabbits are estimated to be on the island on day 210.(5) (1) から モデル式が　R=A sin Bt + c　で　A sin (Bx+C) + D　といった形の式とは違いX軸方向に移動しないと考えていいですか？ (2)から initially 　という事は t　を０と考えてsin０は０になるのでｃ＝１２００→ R=A sin Bt + １２００ (3)から １６００=A sin Bt + １２００　→　A sin Bt 　＝４００　→　sinの最大値は１なので４００ sin Bt 　となる (4)から R=　－４００ sin Bt + １２００ ここでわからないのですが、Bの処理はどうしたらいいのでしょうか？ Bは周期を決めるものですがここでは何もその事について書かれていません。 (5)は式が完成すれば大丈夫だと思うのですが、Bの処理の仕方を教えて頂けますか？ 又、私の考え方が間違っていたら指摘して頂けますか？ 宜しくお願い致します

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  • yyssaa
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回答No.2

(5)は式が完成すれば大丈夫だと思うのですが、Bの処理の仕方を教えて頂けますか？ ＞360 days which is the period of the model だから360b=2π→b=π/180でしょう。 (1)～(4)の処理は正しいです。

machikono
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お礼

大事なお時間を有りがとうございました。ものすごい勘違いをしておりました。でもこちらで聞いたおかげでわかりました。(^_^)

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  • f272
  • ベストアンサー率46% (8021/17145)
回答No.1

360 days which is the period of the model と書かれているようだが，気がついていないのか？周期は360日だ。

machikono
質問者

お礼

お恥ずかしいです、でもおかげ様で解決致しました。又よろしくお願いします。

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