TASK DEFINITION: In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
PROBLEM: One of this man's works contains a "doppio movimento" movement where a solo clarinet introduces five variations on a traditional melody. Other compositions by this man include Grohg and Hear Ye! Hear Ye! as well as a work which begins with the song "The Open Prairie". He created a compositions which features sections titled "Corral Nocturne" and "Buckaroo Holiday", as well as a square dance where the Roper and Cowgirl kiss, the "Hoe-down". Many of his ballets were choreographed by Agnes de Mille. For 10 points, name this American composer who created Billy the Kid, Rodeo and Appalachian Spring.

SOLUTION: Fine Arts

PROBLEM: This battle started after troops under Henry Heth (HEETH) spotted John Buford's cavalry. Key locations in this battle included the Peach Orchard and Devil's Den. One general in this battle, Dan Sickles, disobeyed orders by moving his corps from its location along Cemetery Ridge. That ridge was the object of Pickett's Charge at the end of this battle. George Meade's victory in this battle ended a Confederate invasion of the North. For 10 points, name this battle whose site was later the location of an Address by Abraham Lincoln.

SOLUTION: History

PROBLEM: By a special case of the projection-slice theorem, performing the Hankel transform is equivalent to performing this man's transform for axially symmetric functions along with Fourier's. The absolute value of the inner product of two vectors is bounded by an inequality named for this man, who sometimes names the formula for summation by parts. The equation of titration is derived from this man's equation, which equates f(h(x)) with f(x+1), but he is better known for an identity linking the Wronskian of a second order differential equation to the equation itself and for an identity with Ruffini. Better known for proving that the general form of a quintic polynomial is insolvable, for 10 points, name this mathematician who names groups which are commutative, a Norwegian.

SOLUTION:
Science