Find a point on the ellipsoid x² + 2y2 + z2 = 19 where the tangent plane is perpendicular to the line with parametric equations x = 2 – 8t, y = 5 + 4t, and z = 4 - 2t. ) (smaller x-value) ) (larger x-value) (х, у, 2) - ( (х, у, 2) %3D (
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Q: Find a point on the ellipsoid x² + 4y² + z² = 30 where the tangent plane is perpendicular to the…
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- Find a point on the ellipsoid 3x2 + y2 + 3z2 = 1 where the tangent line is parallel to the plane −12x + 2y + 6z = 0.Find a point on the ellipsoid x2 + 4y2 + z2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 − 4t, y = 1 + 8t, and z = 3 − 2tFind all points on the ellipsoid 2x² + 3y² + 4z² = 9at which the plane tangent to the ellipsoid is parallel to the plane x−2y + 3z = 5.
- At what point on the ellipsoid 2x^2 + y^2 + z^2 = 1 is thetangent plane parallel to the plane x + y + z = 1?Consider the ellipsoid 3x2+2y2+z2=18. Find all the points where the tangent plane to this ellipsoid is parallel to the plane 2z−(6x+2y) = 0 correctly.Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 6x2 + 4y2 + 5z2 = 30 at the point (−1, 1, 2). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)
- A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 4.90 s, it is at point (4.60 m, 5.00 m) with velocity (2.00 m/s)ĵ and acceleration in the positive x direction. At time t2 = 13.6 s, it has velocity (–2.00 m/s)î and acceleration in the positive y direction. What are the x and y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit.Find a point on the ellipsoid x2 + 4y2 + z2 = 9where the tangent plane is perpendicular to the line with parametric equations x = 1 − 4t, y = 4 + 8t, and z = 2 − 2t. (x, y, z) = ( ) (smaller x-value)(x, y, z) = ( ) (larger x-value)Find parametric equations of the line through the point (5, 0,−2) that is parallel to the planes x −4y + 2z = 0and 2x + 3y −z +1 = 0.