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## Homework Statement

Need to calculate fractional uncertainty f, of M (mass of a star in this case), where f is much less than one. The hint i was given was all i need to know is M [tex]\alpha[/tex] d

^{3}, and use a taylor expansion to the first order in f.

M = mass of a star, d = distance to star

## Homework Equations

M [tex]\alpha[/tex] d

^{3}

## The Attempt at a Solution

Firstly, im stuck at what the [tex]\alpha[/tex] means, ive never seen it used before in this sense, at least not that i remember. Cut and paste shows it to be a division sign, although that doesnt mean much. Im not very strong with taylor expansions at all. Assuming that the [tex]\alpha[/tex] is supposed to be a division sign...

f(x) = M/d

^{3}then...

f(a) + (f`(a)/1!)(x-a) then...

M/d

^{3}+ 1/d

^{3}(x-a) would be the first order? Im guessing you take the derivative with respect to M. Would 1/d

^{3}be my uncertainty since that is the first order? Its been awhile since i worked on taylor expansions and im very confused.