We exploit the quantum coherence between pair-produced D0 and D0bar in psi(3770) decays to study charm mixing and to make a first measurement of the relative strong phase \delta between D0 -> K+pi- and D0bar -> K+pi-. Using 281 pb^-1 of e+e- collision data collected with the CLEO-c detector at E_cm=3.77 GeV, as well as branching fraction input from other experiments, we make a preliminary determination of \cos\delta = 1.03 ± 0.19 ± 0.08, where the uncertainties are statistical and systematic, respectively. By further including other external mixing parameter measurements, we obtain an alternate measurement of \cos\delta = 0.93 ± 0.32 ± 0.04, where the systematic uncertainty from assuming x\sin\delta=0 has not been included.

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