Given the acceleration of a particle is a(t) = < 3, 9t, et >. If the initial velocity is v(0) = < 4, 6, 2 > and the initial position is r(0) = < 5, 9, 4 >, find r(3).

Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

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