The equation y = ax2 is your new best friend, possibly because you desperately want to know what y is. However, you have only vague notions of what a and x are. Given the information below, which term, x or a, is the most to blame for your inability to know y as well as you want to satisfy your strange obession? a= 2 +/- 0.5 x = 0.3 +/-0.1
given
y = a x2
y / y = a / a + 2 x/x
a combination
a / a = 0.5 / 2
= 0.25
x combination
2 x/x = 2 x 0.1 / 0.3
= 0.67
y = y ( a/a + 2x/x )
= y ( 0.25 + 0.67 )
= 0.92 y
"x" because despite is lower fractional error, it contributes more to y because it is squared.
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