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We present a measurement of the spin-dependent cross sections for the\vec{^3He}(\vec{e},e')X} reaction in the quasielastic and resonance regions atfour-momentum transfer 0.1 < Q^2< 0.9 GeV^2. The spin-structure functions havebeen extracted and used to evaluate the nuclear Burkhardt--Cottingham andextended GDH sum rules for the first time. Impulse approximation and exactthree-body Faddeev calculations are also compared to the data in thequasielastic region.

3He Spin-Dependent Cross Sections and Sum Rules