Three SHA512Managed related questions:
Ben's answer is incorrect, you should not be using SHA* functions to hash passwords. You should be using a hash function that is specifically designed for hashing passwords, such as PBKDF2, BCrypt or SCrypt. Min's answer and comments are correct.
Since you want to use standard .NET library I suggest Rfc2898DeriveBytes which is an implementation of PBKDF2.
http://msdn.microsoft.com/en-us/library/system.security.cryptography.rfc2898derivebytes.aspx
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