Math 11 Finals 2015b - Mathematics 11 2nd Sem AY 2015-2016 Final Exam Directions Show all necessary solutions No solution no credit Use blue or black

Math 11 Finals 2015b - Mathematics 11 2nd Sem AY 2015-2016...

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Mathematics 11 Final Exam 2nd Sem AY 2015-2016 May 21, 2016 Directions: Show all necessary solutions. No solution, no credit. Use blue or black pen only. All answers must be written in simplest form. Box your final answers. I. Do as indicated. (2 points each) 1. GivenU=R, find [1,2)Cand [1,2)C[0,3].2. Simplifyr15+20-425.3. Ifzvaries jointly asxandy, andz= 3 whenx= 2 andy= 1, findzwhenx= 3.4. Give the sum of the first 100 terms of the arithmetic sequence with 40 as its first term, and-2 as its commondifference.5. LetCbe the center of the circle with equationx2-4x+y2= 4. IfOis the origin, find the length of the linesegmentCO.II. Factorx2y-y+ 2x2-2 completely.(3 points)III. Simplify the following expressions. (Assume all denominators are nonzero.)(3 points each)1.27x-5x131/32.x2x+ 3+ 12-22x+ 33.x3-84x-4÷x2+ 2x+ 4x2+x-24.2x+ 2+102x2+ 3x-2IV. Giveng(x) =x-22x+ 3. Find the following:1.g-1(x)(2 points)2. range ofg(1 point)3. (gg)(2)(1 point)V. Solve forx.(4 points each)1.x+7-2x= 22.x3-6x2+ 7x+ 2 = 03.4x+ 12x14.
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