7.(10 pts) Let S be the surface defined by the equation
xcos(xy)+z2y4 -7xz =1
and P(0,1,1) be a point on S . Find an equation that defines the tangent plane to S at p and a parametric equation of the normal line to S at P.

詳解 (共 2 筆)

Chia Chung
Chia Chung
詳解 #5772572
2023/04/10
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助人為本
助人為本
詳解 #7406341
2026/06/13
所以看到曲面
F(x,y,z)=0
要求切平面和法線
6a2d493394c1a.jpg
6a2d49439e8aa.jpg
所以切平面是
6a2d4972342b4.jpg
然後整理成
6a2d498925ff2.jpg
法線是
6a2d499ab435c.jpg