Find the domain of the vector-valued function. Write the answer in interval notation. 1) r(t) = 3 i+ 6 - t j + In(t - 1)k Computer'(t) and r"(t). 2) r(t) = (2 In(8t))i + (3e-3t)j + (4 cos2 t)k Find r(t) that satisfies the initial condition. 3) r'(t) = (12t2 - 7)i -j+- 1 k ; Initial Condition: r(3) = -8i + 6j + 9k 1+t