Consider the ellipsoid given by the equation: x³ y³ + = 75 - 5z². 3 3 a) [ Find the equation of the tangent plane at the point (-2, 3, -1) to this ellipsoid. b) [1. ]Find the symmetric equations of the normal line at the same point.
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- Consider a particle traveling clockwise on the elliptical path x2/ 100 + y2/25 = 1. The particle leaves the orbit at the point (−8, 3) and travels in a straight line tangent to the ellipse. At what point will the particle cross the y-axis?Find parametric equations for the normal line to the surface z=-7x2 -9y2 at the point (2,1,-37)Determine the equation of the normal line to the hyperbola x^2 - 4y^2 = 9 at (5,2)
- Find an equation of a generating curve given the equation of its surface of revolution. x2 + y2 − 2z = 0chapter 3.6 (book question #35) find an equation of the normal (perpendicular) line to the curve x2 +xy=y3 at (1,-1)Find the equations of the tangent line in the given plane.Tangent to the parabola z =x^2 +3y^2, x=1 at point (1,2,13)