My 2010 mac pro has smc 1.39f11 which will not update to 1.5 needed for high sierra

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Activity Monitor doesn’t show any culprits that I’m aware of (then again, I am still learning the ins/outs of A.M.). I do not have any taxing programs running, just Firefox or Safari with at times, multiple tabs opened.

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My question is what could possibly be causing this intermittent heating. The heat (heating up) can cover approximately over 1/4 of the keyboard area (figure “ESC down to fn” and from approx. What I’`m experiencing now is a somewhat intermittent heating up of the upper left-hand corner, the magnetic DC power connector area, of the laptop. All upgrades went well (my first attempt - thanks to all for detailed videos!). I currently run High Sierra 10.13.6 on a 2.4 GHz processor. I just recently upgraded my Mid-2010 MacBook Pro 13” to 16 GB of RAM (2x8 GB), as well as a 500 GB SSD and lastly, a new replacement battery (all new components).