A series RLC circuit has resonance angular frequency $2\mathrm{.}003$

$103$

rad$/$s$.$ When it is operating at some input frequency,

XL $512\mathrm{.}0$ V and XC $58\mathrm{.}00$ V$.($a$)$ Is this input frequency

higher than, lower than, or the same as the resonance fre$-$

quency? Explain how you can tell. $($b$)$ Explain whether it is

possible to determine the values of both L and C$.($c$)$ If it is

possible, find L and C$.$ If it is not possible, give a compact

expression for the condition that L and C must satisfy.