All 3 Uses of

resolution
in
The Narrative of the Life of Frederick Douglass

I then had to regret that I did not at least make the attempt to carry out my resolution to run away; for the chances of success are tenfold greater from the city than from the country.
Chpt 8 *

resolution = decision

Mr. Covey seemed now to think he had me, and could do what he pleased; but at this moment—from whence came the spirit I don't know—I resolved to fight; and, suiting my action to the resolution, I seized Covey hard by the throat; and as I did so, I rose.
Chpt 10

But I remained firm, and, according to my resolution, on the third day of September, 1838, I left my chains, and succeeded in reaching New York without the slightest interruption of any kind.
Chpt 11

Definitions:

(1) (resolution as in: a New Year's resolution)
a firm decision to do something
(2) (resolution as in: a United Nations resolution)
a formal statement of decision or opinion voted on by a group

While a resolution typically expresses an opinion and has no legal force, when used in early U.S. history or in the expressions joint resolution of Congress or continuing resolution, it becomes a synonym for legislation (meaning that it carries the force of law).
(3) (resolution as in: Her resolution weakened.)
determination (firmness of purpose)
(4) (resolution as in: resolution of the dispute)
a solution or outcome
(5) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

Much less commonly, other meanings of resolution include:
- a measure of optic detail -- as in: "The photograph has excellent resolution."
- separation into different parts -- as in: "When force is applied to an inclined plane there is resolution of the force into horizontal and vertical components."
- conversion to something else -- as in: "... resolution of the chord from dissonance (an unstable sound) to consonance (a more stable sound)."
- reduction to or conversion to something else -- as in: "It permits resolution of a URL to an IP address."