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Like I said before, there are no existing schematics available of the Rokit speakers. At least I have not found any. I downloaded the picture above, and zoomed into it. There is absolutely no way I can tell what the resistor is. However, here is what I suggest: delicately chip away the Black Goop of Death (BGOD) around the resistor, being careful not to damage the resistor shell as it may be brittle from the BGOD. Then, desolder and lift the resistor to reveal the underside which should be clean and reveal the color-code bands. If desoldering is too difficult, then clip the opposite, non-corroded lead and lift the resistor out. The goal is preserve shell as much as possible, so if even the slightest bit of BGOD is holding the resistor down, then re-excavate and extract archeologist-style! If all else false, then cut in the clear and measure with a multimeter (DMM). It's most likely a 5% resistor and the DMM will get you in the ballpark, third base.