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We consider the optimized joint design of the physical, medium access control, and network layers to maximize the lifetime of energy constrained wireless ad hoc networks for multicast applications. In this case, using network coding at the network layer, the problem of computing maximum lifetime multipath flow is formulated as a linear optimization problem, when the transmission rates of the links are constant. Instead of using dynamic routing and changing paths during lifetime of the network, we investigate the scenarios in which the source communicates with the destinations using all feasible paths in a static scheme. When rate control is available, we introduce another algorithm that exploits this additional degree of freedom to further enhance the network life time. Simulation results are provided which demonstrate the effectiveness of the proposed solutions.