Question 1
Find an equation of the tangent plane to the surface x
2 + 2y
2 + 3z
2 = 6 at the point (1, 1, 1).
◦ x + y + z = 3
◦ x + 2y + 3z = 6
◦ 3x + 2y + z = 6
◦ x + 4y + 9z = 14
◦ x + 2y - 3z = 6
Question 2
Find an equation of the plane tangent to the surface xy
3z
2 = 2 at the point (2, 1, -1).
◦ x + 5y - 4z = 11
◦ x = (2 + t)
i + (1 + 6t)
j + (-1 - 4t)
k, t ∈ R
◦ x + 6y + 4z = 4
◦ x + 6y - 4z = 0
◦ x + 6y - 4z = 12