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- Find T, N, and κ for the space curve, where t>0.Determine whether the space curve given by r(t) =t 2, t 2− 2t − 3, t − 3 intersects the x-axis, and if it does, determinewhere.Determine whether the space curve given by r(t)=⟨sin(t), cos(t2), 8t⟩intersects the z-z-axis, and if it does, determine where.
- find B and t for these space curves. r(t) = (t3/3)i + (t2/2)j, t 7 0Find the diffrential equation of for each of the curves determined by the condition that ateach point (x, y) where the length of the subtangent is equal to the sum of its coordinates.Find the equation of the tangent plane to the surface z=e-4x/17ln(1y) at the point (-3, 4, 2.808). z=_____________________.