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27. r(t) = (t cos t)i + (t sin f)j + tk, t = V3 28. r(t) = (e cos fi + (e sin t)j + ek, t= In2 29. r(t) = (t – sin f)i + (1 - - cos t)j + V-ik, t = -37 30. r(t) = (3t – ²)i + (3²)j + (3t + t²)k, t= 1

27. r(t) = (t cos t)i + (t sin f)j + tk, t = V3 28. r(t) = (e cos fi + (e sin t)j + ek, t= In2 29. r(t) = (t – sin f)i + (1 - - cos t)j + V-ik, t = -37 30. r(t) = (3t – ²)i + (3²)j + (3t + t²)k, t= 1

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Rounding the answers to four decimal places, use a CAS to find v, a, speed, T, N, B, k, t, and the tangential and normal components of acceleration for the curves in Exercises 27–30 at the given values of t.

27. r(t) = (t cos t)i + (t sin f)j + tk, t = V3 28. r(t) = (e cos fi + (e sin t)j + ek, t= In2 29. r(t) = (t – sin f)i + (1 - - cos t)j + V-ik, t = -37 30. r(t) = (3t – ²)i + (3²)j + (3t + t²)k, t= 1
Transcribed Image Text:27. r(t) = (t cos t)i + (t sin f)j + tk, t = V3 28. r(t) = (e cos fi + (e sin t)j + ek, t= In2 29. r(t) = (t – sin f)i + (1 - - cos t)j + V-ik, t = -37 30. r(t) = (3t – ²)i + (3²)j + (3t + t²)k, t= 1
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