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# 微積分題目

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- 麻辣Lv 77 years agoFavorite Answer
Find a tangent plane passing thru P(0,π,1) for surface:F(x,y,z)=z*sin(x)+z*cos(y)+5*z^2-7=0Sol: Normal=Grad(F)=▽F=Fn(0,π,1)=[z*cos(x);-z*sin(y);sin(x)+cos(y)+10*z]=[1*cos(0);-1*sin(π);sin(0)+cos(π)+10*1]=[1;0,-1+10]=(1,0,9)Plane: 1*(x-0)+0*(y-π)+9*(z-1)=0=> x+9z=9......ans

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