Tie-breakers, Pack 4

Transylvania University Academic Tournament

Feb. 12, 2000

1.

Which doomed Carthaginian princess fell in love with Aeneas in Virgil's Aeneid?
Answer: Dido

2.

What is the name of the process for nutrient enrichment of natural waters?
Answer: eutrophication

3.

What were the names of the seven dwarfs in the original Brothers Grimm version of Snow White?
Answer: they were not named

4.

Find the antiderivative of $24 \cos 6x + 24 \sin 4x$ (read: 24 times cosine of six x plus 24 times the sine of 4 x).
Answer: $4 \sin 6x - 6 \cos 4x + C$ (4 times sine of 6 x minus 6 times cosine of 4 x plus C)

5.

How many houses did the Articles of Confederation provide for?
Answer: one

6.

The function f(x) (read: f of x) is the antiderivative of a polynomial. The graph of f(x) (read: f of x) passes through the origin. What is the constant term of f(x) (read: f of x)?
Answer: 0