(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. (Provide formulas that are applied). (b) Use a computer to graph the path of the particle. (Provide the table if there is). a(t)=(t) i+(et) j+(e-t) k, v(0)=k, r(0)=j+k.

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(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. (Provide formulas that are applied).

(b) Use a computer to graph the path of the particle. (Provide the table if there is).

a(t)=(t) i+(et) j+(e-t) k, v(0)=k, r(0)=j+k.

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