I'm by design a sign of turbulence, though often symmetrical. I raise your arms in patterns, yet am found in the mathematical.

I determine the error as you fire a bow. Very much a requirement, so please take it slow. The shots are precise, but may not have me. Don't make that mistake, I am ...

I grow when you take, I shrink when you give. I thrive in loss, yet live to forgive. No weight I carry, yet heavy I stay. What am I?

I am many things with many tasks, I swim with sharks and grade the flasks I summit mountains, I model towns, I measure disasters that bring them down. I rise and fall in musical calls, and sometimes ponder the weight of it all.

Ask this question all day long, but always get completely different answers, and yet all the answers will be correct. What is the question?