Determine the parametric equations of the curve of of the ellipsoid 4x² + y2 + 4z2 = 4 and the half-cone intersection y² = x² + 2z², y ≥ 0.
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- Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.Determine the parametric equations of the curve of intersection of the ellipsoid 4x2 + y2 + 4z2 = 4, and the half-cone y2 = x2 + 2z2, y > 0Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2 + y2 and the ellipsoid 3x2 + 2y2 + 6z2 = 29 at the point (−1, 1, 2).
- Find the parametric equation of the tangent line to the helix with parametric equations below at the point (0,1,0). x=2t, y=e-t. , z=3t-2t² 2x-y+z=0 x=2t, y=1-t, z=3t 2x-y+3z+1=0 x=2, y=-1+t, z=3Find 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.Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0) and traces the ellipse(x2/a2) + (y2/b2) = 1 once counterclockwise
- Find parametric equations and a parameter interval for the motion of a particle that starts at the point (-2, 0) in the xy-plane and traces the circle x2 + y2 = 4 three times clockwise.Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0) and traces the circle x2 + y2 = a2 twice counterclockwiseFind parametric equations and a parameter interval for the motionof a particle that starts at (a, 0) and traces the ellipse(x2/a2) + (y2/b2) = 1 twice counterclockwise
- Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0) and traces the circle x2 + y2 = a2 once counterclockwiseFind parametric equations and a parameter interval for the motion of a particle in the xy-plane that traces the ellipse 16x2 + 9y2 = 144 once counterclockwise.I am working with cal 3. How do I find the parametric equations of the line for the intersection of two planes: 5x − 4y + z = 1, 4x + y − 5z = 5?