'Applied' in the Bible

He carved cherubim and palm tree images and budding flowers and overlaid them with gold evenly applied on the carved work.

I applied my mind to seek and to search by wisdom all that is done under the heavens. It [is] a grievous task God has given to {humans}.

I saw all this as I applied my heart to all the deeds done under the sun: {sometimes those in authority harm others}.

I applied my mind to know wisdom and to understand the business that is done on earth--how neither day nor night one's eyes see sleep.

And the alcoves of the gate [toward] the way {eastward} [were] {three on each side}; {the same measurements applied to all three of them}; and {the same measurement applied to the pilaster} {on each side}.