Question: When does the American football quarterback born who is in the cover of NCAA Football 2004?

Context paragraphs:
NCAA Football 14: NCAA Football 14 is an American football video game published by EA Sports and developed by EA Tiburon.  It is the successor to "NCAA Football 13".

NCAA Football 06: NCAA Football '06, known colloquially as "College Football 2006", is a collegiate American football video game which was released on July 11, 2005.  It is the successor to NCAA Football 2005 in the NCAA Football series.  The product features former Michigan Wolverines standout and Heisman Trophy winner Desmond Howard on the cover.  He is the only cover athlete not to have played the year before their respective game; Howard last played at Michigan in 1991.  It is the only game in the series as of 2013 to have a music soundtrack, as the other games play school fight songs and general band pieces, and the last game in the series to feature FCS (Division 1-AA) teams.

Carson Palmer: Carson Hilton Palmer (born December 27, 1979 is an American football quarterback for the Arizona Cardinals of the National Football League (NFL).  He played college football at USC and won the Heisman Trophy in 2002.  The Cincinnati Bengals, for whom he played eight seasons, chose him with the first overall pick in the 2003 NFL Draft.  Palmer also played for the Oakland Raiders for two seasons.

Passer rating: Passer rating (also known as quarterback rating, QB rating, or passing efficiency in college football) is a measure of the performance of passers, primarily quarterbacks, in American football and Canadian football.  There are two formulae currently in use: one used by both the National Football League (NFL) and Canadian Football League (CFL), and the other used in NCAA football.  Passer rating is calculated using a player's passing attempts, completions, yards, touchdowns, and interceptions.  Since 1973, passer rating has been the official formula used by the NFL to determine its passing leader.

NASCAR Thunder 2004: NASCAR Thunder 2004 is a racing simulator by EA Sports, released in 2003 and available in separate versions for PlayStation, PlayStation 2, Xbox, and PC.  It features the 2002 champion Tony Stewart on the cover with a scowling look to represent the new Grudges and Alliances feature.  It was the only game as of 2002 to feature the previous Winston (Monster Energy) Cup Champion on the cover.  The game had the most extensive soundtrack of the series up from four songs from the previous game.  The game also has a career mode, season mode, Lightning Challenge mode, SpeedZone, as well as a tutorial mode featuring Richard Petty.  The game is an EA Sports Bio game, and is compatible with other EA Sports Bio games like "Madden NFL 2004" and "NCAA Football 2004".  A Nintendo GameCube port was planned but was cancelled, as the console did not support Online Play.

NCAA Football 2004: NCAA Football 2004 is an American football video game released in 2003 by Tiburon.  It is the successor to NCAA Football 2003 in the NCAA Football series.  The player on the cover is former USC quarterback Carson Palmer.  The game is available for play with the N-Gage.  Commentators are Brad Nessler, Kirk Herbstreit and Lee Corso.  The game is an EA Sports Bio game, and is compatible with other games with the feature ("Madden NFL 2004" and "NASCAR Thunder 2004", for example).

Harold Elliott: Harold Edward "Bud" Elliott (December 24, 1931 – November 1, 2005) was an American football coach.  He served as the head coach at Southwestern College in Winfield, Kansas (1964–1968), Washburn University (1969–1970), Emporia State University (1971–1973), the University of Texas at Arlington (1974–1983), Northwest Missouri State University (1988–1993), and Eastern New Mexico University (1994–2004), compiling a career college football record of 205–179–9.  Elliott won more games than any other head coach in the history of Eastern New Mexico Greyhounds football program.  He coached football at high school and collegiate levels for over 40 years.  In his last season of coaching in 2004, Elliott became the 46th head coach in NCAA football history to reach 200 wins.  At the time of his retirement, he ranked third in victories among active NCAA Division II coaches.

Sports USA Radio Network: Sports USA Media is the largest independent sports broadcasting radio network in the United States, specializing in live broadcasts of American football, specifically of the NCAA football Division I-A and National Football League.  In 2013, more than 400 radio stations across the United States carried NFL and NCAA football games from Sports USA.

Kirk Herbstreit: Kirk Herbstreit ( ; born August 19, 1969) is an American analyst for ESPN's "College GameDay", a television program covering college football and a provider of color commentary on college football games on ESPN and ABC.  He appeared annually as a commentator in EA Sports' "NCAA Football" until the series was put on hiatus following "NCAA Football 14".  He was a quarterback on the Ohio State football team.  He saw action in several games his junior season and was the starting quarterback throughout his senior season.

NCAA Football 2005: NCAA Football 2005 is an American college football video game which was released on July 15, 2004.  It is the successor to NCAA Football 2004 in the NCAA Football series.  The product features former Pittsburgh Panthers and current Arizona Cardinals standout wide receiver Larry Fitzgerald on the cover.  The game is the NCAA Football series released by EA Sports.  This would be the final game in the NCAA Football series to be released to the Nintendo Gamecube.

Supporting paragraphs: NCAA Football 2004 Carson Palmer
Answer: December 27, 1979