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pretest07fk - MAC 2311 Quiz on Pre-Reqs and Key Sept 4 2007...

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MAC 2311 Sept 4, 2007 Quiz on Pre-Reqs and Key Prof. S. Hudson The problems are worth 15 points each, except 1) is worth only 10. The quiz took about 35-40 minutes. 1) What is an equation of a line through (-4,7) and perpendicular to y = 2 3 x + 5? 2) Find cos(75 ) using the addition formula for cos( a + b ). 3) Solve for x , given that (ln( x )) 2 = ln( x 4 ). There may be 2 or 3 solutions. 4) Solve for x , given that ( x 2 - 5 x + 4) / ( x 2 - 4) 0. Answer with interval notation, if possible. 5) Solve for x , given the double inequality x + 3 < 2 x + 8 < 3 x + 10. Answer with interval notation, if possible. 6) Simplify this formula using the triangle method: cos(tan - 1 ( x )). 7) Derive the formula for the area of a sector. See the picture. Your answer should include the correct formula and a clear explanation (in words, of course) of why it is true. Remarks and Answers: If you scored below 50/100, your chances of passing are not too good. If you plan to try, you need to bring your algebra and/or trig skills up to par before the first exam. If you scored below 40/100, you must see me about remedial work
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