Write an equation in general form of the tangent plane to the parametric surface at the stated point. x = uv^2, y = u^2v, z = u + v ; P(2, 4, 3)
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Write an equation in general form of the tangent plane to the parametric surface at the stated point.
x = uv^2, y = u^2v, z = u + v ; P(2, 4, 3)
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- 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=3Determine the parametric equations of the curve of intersection of the ellipsoid 4x2 + y2 + 4z2 = 4, and the half-cone y2 = x2 + 2z2, y > 0Find a parametrization of the curve. The vertical line passing through the point (3, 2, 0)
- please find the normal plane equation and parametric equations for the tangent line to the curve with the given parametric equations at the specified pointFind an equation of the tangent plane to the given parametric surface at the specified point. If you have software that graphs parametric surfaces, use a computer to graph the surface and the tangent plane. x = u2 y = v^2 z = uv u = -1, v = -1Find 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.
- The curve with parametric equationsx = t, y = 1 - cos t, 0 ≤ t ≤ 2πis called a sinusoid. Findthe point (x, y) where the slope of the tangent line is smallestThe curve with parametric equationsx = t, y = 1 - cos t, 0 ≤ t ≤ 2πis called a sinusoid. Findthe point (x, y) where the slope of the tangent line is largest.The surface integration for a sphere can be executed after parameterizing point the equation to a spherical polar coordinate. True or False.
- Find a parameterization for a circle of radius 4 with center (-4,4,-6) in a plane parallel to the yz planeHow would I find the parametric equations for the tangent line to the curve of intersection of the surfaces at the given point?Find an equation of the tangent plane to the given parametric surface at the specified point. If you have software that graphs parametric surfaces, use a computer to graph the surface and the tangent plane. x = u + v, y = 2u2, z = u − v; (2, 2, 0)