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At t = 0, a particle is prepared to assume the state
V(x,0) = ¹+2i₁(x) + cos (²) sin( ³ )&₂(x) + A¥3(x)
where A is a constant and the eigenfunctions ₁(x), 2(x), and 3(x) correspond to energies E₁, E2, and E3,
respectively. What is the probability that the particle has energy E3?
a. 0.822
b. 0.325
c. 0.675
d. 0.570

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