ian invested $2500 in an investment vehical that would guarantee to earn 4% intrest yearly. the function for this is A(t)=2500(1
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The key idea is that, if a vector field is conservative, then it has curl 0. Equivalently, if the curl is not 0, then the field is not conservative. But if we find that the curl is 0, that on its own doesn't mean the field is conservative.
1.
We want to find such that
. This means
so is conservative.
2.
Then
so is conservative.
3.
so is not conservative.
4.
Then
so is conservative.