7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch C. (b) Find the equations of both tangents to C at the point (0, 0).
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- Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = e−8t cos(8t), y = e−8t sin(8t), z = e−8t; (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 parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=t^2+1, y=4(t^1/2), z=e^(t^2-t); (2,4,1)
- Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 3 ln(t), y = 4t1/2, z = t3; (0, 4, 1)Find an equation of the tangent(s) to the curve with parametric equations x = 1 + √t, y = e^(t^2) at the point (2, e).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 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)A curve in the plane is defined parametrically by the equations written below. An equation of the line tangent to the curve at t=1 isFind the equation of the tangent line to the parametric curve x = θ+cosθ, y=1+sinθ; θ = π/6
- find the equations of the tangent and normal to the curve expressed in parametric form at the point indicated. x=2e^t; y=2e^-t; t=0Find an equation of the tangent(s) to the curve with parametric equations x = t cost, y = tsin t at the point corresponding to the parameter t = π.Find parametric equations for the tangent line to the curve given by x=ln(t+1), y=tcos2t, z=et at (0,0,1).