3 True or Falsecircle T or F Given the surfaces S x2y yz

3. True or False(circle T or F): Given the surfaces S : x^2y + yz + z^2 4 = 0,
(a)T or F x + 3y + 4z = 8 is the equation of the tangent plane for S at (1; 0; 2).
(b)T or F The line r(t) = h1; 3t; 2 + 4ti is normal to the surface S at (1; 0; 2)
(c)T or F The line r(t) = h1; 3t; 2 + 4ti is tangent to the surface S at (1; 0; 2).
(d)T or F The line r(t) = h1; 4t; 2 + 3ti is tangent to the surface S at (1; 0; 2).

Solution

a)F
3. True or False(circle T or F): Given the surfaces S : x^2y + yz + z^2 4 = 0, (a)T or F x + 3y + 4z = 8 is the equation of the tangent plane for S at (1; 0; 2)

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