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Apply of differentiation(2Q)!!
發問:
1. A circular cylinder of radius r cm is inscribed in a cone of base radius 6 cm and height 12cm. A smaller inverted right circular cone of a maximum volume is inscribe in the space inside the larger cone above the cylinder such that the apex of the smaller cone is at the centre of the upper base of the cylinder.... 顯示更多 1. A circular cylinder of radius r cm is inscribed in a cone of base radius 6 cm and height 12cm. A smaller inverted right circular cone of a maximum volume is inscribe in the space inside the larger cone above the cylinder such that the apex of the smaller cone is at the centre of the upper base of the cylinder. Let V cm^3 be the total volume of the cylinder and the smaller cone. Q: Find r such that V is a maximum. 2. let f(x) be a polynomial. If f(x)=(x-r)^2 g(x) where g(x) is unequal to 0, then r is a double roof of f(x)=0. (a) If f(x)=0 has a double root r ,prove that f(r)=f'(r)=0 (b) Show that p(x)=(x-a)^n+(x+a)^n, where a is a non-zero real number, does not have a double real root. 題目是有圖的 如果有什麼不清楚地方 可以留個意見 我會加返圖 p.s 寫詳細步驟 Q1:ans: 324/77
最佳解答:
http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-47.jpg 圖片參考：http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-47.jpg
Apply of differentiation(2Q)!!
發問:
1. A circular cylinder of radius r cm is inscribed in a cone of base radius 6 cm and height 12cm. A smaller inverted right circular cone of a maximum volume is inscribe in the space inside the larger cone above the cylinder such that the apex of the smaller cone is at the centre of the upper base of the cylinder.... 顯示更多 1. A circular cylinder of radius r cm is inscribed in a cone of base radius 6 cm and height 12cm. A smaller inverted right circular cone of a maximum volume is inscribe in the space inside the larger cone above the cylinder such that the apex of the smaller cone is at the centre of the upper base of the cylinder. Let V cm^3 be the total volume of the cylinder and the smaller cone. Q: Find r such that V is a maximum. 2. let f(x) be a polynomial. If f(x)=(x-r)^2 g(x) where g(x) is unequal to 0, then r is a double roof of f(x)=0. (a) If f(x)=0 has a double root r ,prove that f(r)=f'(r)=0 (b) Show that p(x)=(x-a)^n+(x+a)^n, where a is a non-zero real number, does not have a double real root. 題目是有圖的 如果有什麼不清楚地方 可以留個意見 我會加返圖 p.s 寫詳細步驟 Q1:ans: 324/77
最佳解答:
http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-47.jpg 圖片參考：http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-47.jpg
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