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Unformatted text preview: MAC 2311 Sept 4, 2007 Quiz on PreReqs and Key Prof. S. Hudson The problems are worth 15 points each, except 1) is worth only 10. The quiz took about 3540 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 partoo good....
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This note was uploaded on 05/28/2011 for the course MAC 2311 taught by Professor Staff during the Spring '08 term at FIU.
 Spring '08
 STAFF
 Calculus

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