## Question

###### #7. Let be the vector function that satisfies 1"(t) = (~e-t; -4sin 2t) , r(0) = (0,2) , and r' '(0) = (2,2) . Find r(t) (if r(t) is the position vector of an object at time t, then r(0) is its initial position and r (0) is its initial velocity).

#7. Let be the vector function that satisfies 1"(t) = (~e-t; -4sin 2t) , r(0) = (0,2) , and r' '(0) = (2,2) . Find r(t) (if r(t) is the position vector of an object at time t, then r(0) is its initial position and r (0) is its initial velocity).

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