NewTrier Varsity 2006 Round 2, Page 5 Bonus 9: Math (Calculus) Find the derivativesof the folowing functions. A: 7x to the sixth power plus 10x to the fifth power minus 4x to the fourth power. B: The quantity 5x squared plus 2, quantitysquared. Fulyexpand your answer. C: Cosine x over secant x. Simplify your answer so that onlyone trig function remains. D: 8e to the power of 4x squared. Answers: A: 42x to thefifth plus 50x to the fourth minus 16x cubed B: 100x cubed plus 40x C: negative sine of 2x D: 64x times e to the power of4x squared Tossup 10: Science (Biology) - Computational (30 Seconds) An established colony of flying purple people-eaters is sampled, and it is foundthat 16% have two horns. A researcher wants to know how many are homozygousfor the one-horned trait. If the population is at Hardy-Weinberg equilibrium, and two-hornedness is a recessive alele (uh-LEEL), then 16% mustbe homozygous recessive, and the number of homozygous dominantcan be found bysquaring the dominant alele frequency. What percentage of people-eaters are homozygous one- horned? Answer: 36% Bonus 10: Literature (Literature) Answerthese questions about The War of the Worlds. A: The original 1898 novelwas writen by this author of "The Invisible Man." B: This actor from the Mercury Theater made a famous 1938radio adaptation of the novel which caused some panics when some listeners mistook the newscasts for real. C: In the original novel, Martian spaceships land on Earth and begin toatack society. In which country do the spaceshipsland? D: This is how many weeks elapse between the first Martian landing and the date on which al the Martians are found dead from commonEarthdiseases. Answers: A: H.G. Wels (prompt Wels) B: Orson Weles (prompt Weles)C: England (accept Britain, Great Britain, or United Kingdom) D: 3 weeks HALFTIME Aegis Questions © 2006 htp:/www.aegisquestions.com/