re 7(t) = ( – 3t + 5, t + 5, – t+ 1).
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- Compute the arc length of the parametric curve given X=1/3t^3-t,y=t^2+3 From t=0 to t=3Consider the curve r=[(e^(t))*cos(3t), (e^(t))*sin(3t), e^(t)]Compute the arclength function s(t): (with initial point t=0).Sketch the space curve r(t) = ⟨2 sin t, 5t, 2 cos t⟩ and find its length over the given interval [0, π] .
- Find the arc length of the curve given in parametric form by c(t) = (t^3, t^2) for 0 ≤ t ≤ 1.For the curve x = sin(t) - tcos(t), y = cos(t) + tsin(t), z = t2, find the arc length between (0, 1, 0) and (-2π, 1, 4π2).Which choice is correct? A parametric curve (x(t), y(t)) has a horizontal tangent when: (a) dx dt = 0 and dy dt = 0 (b) dx dt = 0 and dy dt 6= 0 (c) dy dt = 0 and dx dt = 0 (d) dy dt = 0 and dx dt 6= 0 (e) dy dt 6= 0 and dx dt 6= 0