2. Compute the magnitude of the tangent vector and the unit tangent vector at t =...
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2. Compute the magnitude of the tangent vector and the unit tangent vector at t = 1 for each of the following vector functions. Provide a sketch of the curve from t=0 to t = 1. (a) r(t) = (t, sin(-t), cos(-t)) (b) s(t)= (t², t cos (2πt), t sin (2πt)) (c) u(t)= (t sin(100πt), t, t cos(100πt)) 2. Compute the magnitude of the tangent vector and the unit tangent vector at t = 1 for each of the following vector functions. Provide a sketch of the curve from t=0 to t = 1. (a) r(t) = (t, sin(-t), cos(-t)) (b) s(t)= (t², t cos (2πt), t sin (2πt)) (c) u(t)= (t sin(100πt), t, t cos(100πt))
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