Definitions.

de·sire [dih-zahyuh r]
-verb (used with object)
1. to wish or long for; crave; want.
2. to express a wish to obtain; ask for; request: The mayor desires your presence at the next meeting.
-noun
3. a longing or craving, as for something that brings satisfaction or enjoyment: a desire for fame.
4. an expressed wish; request.
5. something desired.
6. sexual appetite or a sexual urge.

mis·take [mi-steyk]
-noun
1. an error in action, calculation, opinion, or judgment caused by poor reasoning, carelessness, insufficient knowledge, etc.
2. a misunderstanding or misconception.
-verb (used with object)
3. to regard or identify wrongly as something or someone else: I mistook him for the mayor.
4. to understand, interpret, or evaluate wrongly; misunderstand; misinterpret.
-verb (used without object)
5. to be in error.
-Idiom
6. and no mistake, for certain; surely: He's an honorable person, and no mistake.

a·pol·o·get·ic [uh-pol-uh-jet-ik]
-adjective
1. containing an apology or excuse for a fault, failure, insult, injury, etc.: An apologetic letter to his creditors explained the delay.
2. defending by speech or writing.
3. willing or eager to apologize.
4. sorry; regretful.