Find an equation of the tangent plane to the parametric surface R(u, v) = 〈(u — sin u) cos v, (1 − cos u) sin v, u〉at the point where u = v= ㅠ/2
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Find an equation of the tangent plane to the parametric surface R(u, v) = 〈(u — sin u) cos v, (1 − cos u) sin v, u〉at the point where u = v= ㅠ/2
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- Find an equation of the tangent plane to the parametric surface R(u, v) = ((u - sin u) cos v, (1 - cos u) sin v, u) at the point where u = v= TT IN 2Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces x2 + y2 + z2 = 14, x − y − z = 0, at the given point (3, 1, 2).Find the parametric equations of the line tangent to the curve of intersection of the surfaces x² + y² = z and x² + y² = 4 at the point (√2, √2,4).
- Find an equation of the tangent plane to the parametric surface at u = v = π/2, Find a standard equation for the tangent plane and parametric equations of the normal line at the point P,(2,1, e) on the surface defined by the equation xIn y+ yln z=x.Write the parametric equation of the bilinear surface corresponding to four points P(0 0)= 0.25 0 P(1 0)- 0.75 0 P(0.1)- 0.75 0.9 PEL.A F 0.25.0.8 .Also calculate the tangent and normal vectors at the mid-point of the surface.
- Find the parametric equations of the tangent line LT to the curve C:r(t) = 2 cos(t)i + sin(t)j + 2tk at the point (-2, 0, 27)Find an equation of the tangent plane to the parametric surface x=5rcosθ, y=4rsinθ z=r at the point (5sqrt2,4sqrt2,2) when r=2, theta=pi/4 z=? should be eqn.Find the equation of the tangent line of the parametric equations x = 2 – 3 cos 0, y = 3+ 2 sin 0 at the points (–1,3) and (2,5). .
- Consider the parametric equations. x = 4+r', y=r +21 a) Find d'y/dx b) Find the point(s) on the curve where the tangent is horizontal.2. Find an equation of the tangent plane to the parametric surface F(u, v) = (, 2uv, uv?) at the point (-2, -4, –4).Find an equation of the tangent plane to the parametric surface R(u, v) = ((u - sin u) cos v, (1 - cos u) sin v, u) at the point where u = v= FIN 2