1. Vector Functions and Space Curves a) Find the domain of the vector function: r(t) = (√4 — t², e−³t, ln(t + 1)) e-3t t² b) Find the limit: lime¯³ti+ -j + cos 2t k sin² t t-0 c) Sketch the curve with the given vector equation. Indicate with an arrow the direction in which increases: r(t) = (sint, t)

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