NewTrier Varsity 2006 Round 7, Page 10 Tossup 19: Fine Arts (Visual Art) Born in Idaho in 1867, his firstmajor project, a sculpture of Robert E. Lee in Stone Mountain, Georgia, was aborted after his relations soured with the commisioners. This project, however, helped him develop certain important techniques, like the useof a large lantern to project a sketch onto the rock face on which he worked. His mostfamous project was thought up by Doane Robinson, and he died before finishing it, leaving his son Lincoln to direct the rest of its sculpting. Name this sculptor most famous for large-scale public memorials, especialy Mount Rushmore. Answer: Gutzon Borglum Bonus 19: Math (Calculus) Find the first four non-zero terms of the Taylor expansions of the folowing functions. Evaluate al factorials. A: The hyperbolic cosineof x. B: The cosine of x. C: The sine of x. D: E tothe x. Answers: A: 1 + x^2 / 2 + x^4 / 24 + x^6 / 720 B: 1 - x^2 / 2 + x^4 / 24 - x^6 / 720 C:x - x^3 / 6 + x^5 / 120 - x^7 /5040 D: 1 + x /1 + x^2 / 2 + x^3 / 6 Tossup 20: Social Studies (Other) Hamilton's rule states that you're more likely to exhibit ittoward peopleyou're closely related to, because everyone justwants to propagate their own genes anyway. Coined byAuguste Comte, founder of positivism, psychological egoism states that while some behavior might have this quality, people never are motivated by it. The dilemma behind the tragedyof the commons, name this concept of ethics, from the French for "other people," the practiceof placing others before one's self. Answer: Altruism Bonus 20: Science (Chemistry) Answerthese questions about the laws of thermodynamics. A: The first law states that a system's internal energy is equal to its heatminus the amount of this, that it performs on other systems. B: The second law states that thisquantity wil tend to increase. C: The third law of thermodynamics was developed by this chemist, who also created an equation relating to electrode potentials. D: This lawof thermodynamics states thatthermal equilibrium is transitive. Answers: A: Work B: Entropy (prompt on disorder) C: Walther Nernst D: Zeroth law of thermodynamics Aegis Questions © 2006 htp:/www.aegisquestions.com/