"The helpless girl had no choice but to acquiesce to the robber's orders." "The mayor did not wish to acquiesce to the proposals by the city council." "I am disinclined to acquiesce to your request." (From Pirates of the Caribbean)
If you acquiesce in something, you agree to do what someone wants or to accept what they do. Steve seemed to acquiesce in the decision... When her mother suggested that she stay, Alice willingly acquiesced.
Since "resist" is to oppose a motion or activity, there is no way to remove or undo the activity (the prefix "un-"). The opposite of resist would be to allow, to support, to cooperate, or to acquiesce. Also, the word for "unable to be resisted" is "irresistible".
Dissemble or dissent would be the closest opposite, but are not straight antonyms of acquiesce. Note that there are two 'c's in aCquiesCe, not one as per your question. Oasis mis-spelt the word in their song, which is probably where you heard this word. Hope this helps. Grant
Blacks, or African-Americans should fight openly against segregation. Just as during the Civil Rights Movement, standing up for what they believe is right will bring them results. Nobody should acquiesce to segregation, because equality is a basic human right.