solve 4 .. Transcribed Image Text: Example: find the tangent plane and normal line of the surface | S(x, y, z) = x² + y²

solve 4 .. Transcribed Image Text: Example: find the tangent plane and normal line of the surface
| S(x, y, z) = x² + y² + z² = 3 at the point P, (1,1,1)
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Example: find the tangent plane and normal line of the surface
2 S(x, y, z) =x² + y° + z – 9 = 0 at the point P,(1,2,4)
Example: Find the curvature of the curve, where a&b> o
3
r= (acos ti + asin tj + btk)
Example: Find the torsion of the r= (cos t i + sin tj + tk)
Example: Find the direction derivative of the function
5
F(x.y,z)=x2 + y2 + z² at point p.(1,1,1)in the direction of
Vector v=i+j+k.

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