Consider the ellipsoid x^{2}+4y^{2}+2z^{2} = 26. Find all the points where the tangent plane to this ellipsoid is parallel to the plane 6z-\left(2x+4y\right) = 0.
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Consider the ellipsoid x^{2}+4y^{2}+2z^{2} = 26. Find all the points where the tangent plane to this...
5) Find the equation of the tangent plane to the ellipsoid F(x, y, z) = * ++ z2 – 1 = 0 at (0,4,)
= 1 at which the tangent plane (1 point) Find the points on the surface 5x2 + 1y2 + 4z2 is parallel to the plane – 1x + 4y + 3z = -1. ( ) and (
Q3. Find the unit tangent vector to the curve (t) t, 2,1 at the points where it cuts the plane 2x = z-y. Q3. Find the unit tangent vector to the curve (t) t, 2,1 at the points where it cuts the plane 2x = z-y.
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e.
The equation z - x ^ 2- 2y ^ 2 + 2x - 4y - 2 = 0 is given. Surface: a) Explore the type of the intersection curve with the z = 0 plane and draw it. b) Find the tangent plane and normal line at point (0,0,2).
Linear Algebra 10. [10 points] Consider the plane P represented by the equation 2z+3y-2z = 0. (a) Find a basis for P. (b) Find a basis for the intersection of P with yz-plane
(1 point) Find the points on the surface 3x2 + 4y2 3z2 -1 at which the tangent plane is parallel to the plane ) and We were unable to transcribe this imageWe were unable to transcribe this image(1 point) Consider the surface xuz48 A. Find the unit normal vector to the surface at the point (3, 4,4) with positive first coordinate. B. Find the equation of the tangent plane to the surface at the given point. Express your answer in...
5. (6) Consider the solid bound in the first octant by the surface 9x2 +4y 36 and the plane 9x+ 4y + 6z 36. a. Sketch the solid. b. Set-up the integral to find the volume of the solid by using a double integral. DO NOT INTEGRATE 5. (6) Consider the solid bound in the first octant by the surface 9x2 +4y 36 and the plane 9x+ 4y + 6z 36. a. Sketch the solid. b. Set-up the integral to...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...