2 Given the cone 4x² +16y² = 2², find a (u, v) para meterization for the cone, Find a normal vector and tangent plane at (0₁-1,4),
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- Parameterize the intersection of the cone z = x2 + y2 and the plane z = 2x + 4y + 20. Find the tangent line at the point (4, -2, 20).C-Find unit vectors tangent and normal to the curves (y=4sino x=1-3cos8) at 0- "Find the normal vector to the tangent plane of z = 6e- 6y at the point (12, 24, 6). x component = y component = z component = -1
- Fhd the equation of the tangent plane and normal line to the surface z = 2+y at the point (1, 1,3).Find a vector normal to the surface x2 + y2 − z = 0 at the point (3, 4, 25). Find the equations of the tangent plane and normal line to the surface at that point.Find equations of the Normal plane and Osculating plane of the y = 2t, curve x = 2 sin 3t , z = -2cos 3t at the point (0 , n,-2).
- Check that the point (1,-1,2) lies on the given surface. Then, viewing the surface as a level surface for a function f(x, y, z), find a vector normal to the surface and an equation for the tangent plane to the surface at (1,-1,2). vector normal = tangent plane: 4x² - y² +3z² = 15Find parametric equations for the normal line to the surface z=-7x2 -9y2 at the point (2,1,-37)Consider the surface 2x? + 6y? – 5z2 = 346. Find an equation for the tangent plane to the surface at point (6, 7, 2). Tangent plane is Find a vector equation for the line through point (6, 7, 2) which is normal to the surface at (6, 7, 2). F(t) = with -00The two surfaces x2 + y2 + z2 = 6 and 2x2 + 3y2 + z2 = 9 intersect at the point(1,1,2). Find the angle between the tangent planes at the point(1,1,2). Also, find the tangent vector to the curve in which surface intersect?Find the velocity vector for the position vector r(t) = (sin(12t), 8t°, e-6*). x component = y component = z component 10A car travels over the hill having the shape of a parabola. When the car is at point A, it is traveling at 9 m/sec and increasing its speed at 3 m/sec2 . Determine the tangential and normal components of acceleration of the car at point A labeled belowSEE MORE QUESTIONS