Suppose S is parametrized by r(s, t) = (s cos t, s sin t, s) for 0 ≤ s ≤ 1 and O≤ t ≤2T. (a.) Find the normal N(s, t) = ✨5 × t for S, (b.) Find the Cartesian equation for S and the Cartesian equation for the tangent plane to S at r(1, ï).

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A: The objective of the question is to find the tangent vector, unit tangent vector, and the tangent…

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A: we now that if velocity vectoe at time t is  v(t)=vx , vywhere v1  and  v2  are integrable function…

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A: r(t)=<-3t3-4, -3e4t, -5Sin(-3t) >

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Q: Let C be a curve defined by some vector function R with unit binormal B such that R(0) = (-2, 5, 4)…

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