Find parametric equations for the tangent line at the point (cos(), sin(²), ) on the curve x = cos t, y = sint, z=t %D ey(t)= z(t)= (Your line should be parametrized so that it passes through the given point at t=
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- Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.Find parametric equations for the tangent line at the point(cos(−4π/6),sin(−4π/6),−4π/6) on the curve x=cos(t), y=sin(t), z=(t) x(t)= y(t)= z(t)=Find parametric equations for the tangent line to the curve r(t) = < e^(-t)cos(t), e^(-t)sin(t), e^(-t) > at the point (1,0,1).
- Find parametric equations for line that is tangent to the curve x=cost, y=sint, z=t at the point(cos(4π/6),sin(4π/6),4π/6) Parametrize the line so that it passes through the given point at t=0.Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 cos(t), y = 4 sin(t), z = 10 cos(2t), (2sqr3, 2, 5,) (x(t), y(t), z(t))= 2 3Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=e^(-3t) cos (8t) y = e^-3t sin (8t) z = e^-3t (1,0,1)
- What are the tangent and normal line equations of the parametric curve in the figure at the point t = 0?Find parametric equations for the line that is tangent to the curver⃗ (t)=⟨cos(t),e5t,4−3t⟩r→(t)=⟨cos(t),e5t,4−3t⟩ at the point (1,1,4)(1,1,4) . Show all your work.How to generate the curve over the interval for the parameter t then how to find the equivalent rectangular equation
- I am confused on how to find the parametric equations for the tangent line to the attached curve r(t) at the point (1,0,1)Find the equations of the lines tangent and normal to the curve given by the parametric equations x = 4 cos t and y = 2sin2 t at t = π/3Find the equation of the tangent line to the parametric curve x = θ+cosθ, y=1+sinθ; θ = π/6