[考古] 幾題計算題請問
1.Show that the parabola y=-x^2 and the line x-4y-18=0 intersect at right
angle at one of their points of intersection(於兩個交點之一以直角相交)
(請問這題方程式如何設)
2.Find the volume of the solid obtained by rotating the region bounded by
y=x-x^2 and y=0 about the line x=2
(想請問這題界線是設 0-1 還是 0-2)
3.The plane x+y+z=1 cuts the cylinder x^2+y^2=1 in an ellipse.Use Lagrange
multipliers to find the points on the ellipse that lie closest to and
farthest from the origin.
(這題方程式是 f(x,y,z)=x^2+y^2-1+入(x+y+z-1) 這樣設嗎
如果方程式求出xyz後要如何求最近最遠點 )
請版友指導
感謝
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