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1) Find the point(s) on the hyperboloid a' + 4y - 23 = 71 where the tangent plane is perpendicular to the line with parametric

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Find the point(s) on the hyperboloid a' + 4y" - 23 = 71 where the tangent plane is perpendicular to the line with parametric equations r = 4 - 8t, y = 2 + 32t, and = = 2 + 6t, O ( 4, 4, 3) O (4, -3, -3) O (4, -4, -3). (4, 4, 3) O (-4, 4, -3), (4, -4, 3)Find an equation of a plane passing through the points (3, -1, 3). (1, -1, -1) and perpendicular to the plane 2z + y + 9: + 8 = 0. PreviousUse Lagrange multipliers to find the minimum distance from the line 7x + 3y = -1 to the point (0, 0).Use Divergence Theorem to evaluate JJ F . N d s and find the outward flux of F(z, y, =) = ri + y' j - zk through the surface S of the solid bounded by a' + y' = 6. 2 - 0, and z = 7

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