No. This was MMX. SSE is always separate.
How does an old OS that does not know about SSE do the task switch ?

No, it's cutting of old hindering stuff.
If doing Mathematical calculations it of course is best to use the format that offers the best accuracy when it's not slower. AFAIK the FPU is not slower when doing 80 bit than when doing 64 bit (of course loading/storing the values might take some additional cycles). So using 80 seems like a very sensible option with the given X86 hardware (all versions do support 80 bits).

-Michael
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