This is not homework and I've really tried to get an answer, unfortunately, I can't seem to understand what's going on.
Basically, I tried to do the impedance of \$LC\$ (so, \$z=[(\omega C)-1/\omega L]^{-1}\$. Then I tried to get the impedance for the resistor, but I got stuck. After looking online, I tried to do \$1/C \times (\omega/[\omega-(1/\sqrt{LC})]^2\$ because I found it somewhere. Again, no idea what to do with the \$R\$.
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