Math_1508_Exam-2 - All work must be shown to be awarded full credit Provide exact solutions to all problems unless otherwise stated Student Name

Math_1508_Exam-2 - All work must be shown to be awarded...

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All work must be shown to be awarded full credit. Provide exact solutions to all problems, unless otherwise stated. A graphing calculator is allowed. Math 1508 Exam-2 9:30AM Spring 2019 Student Name: Instructor: Dr. Mohamed Ait Nouh Exam Score: Dr. Mohamed Ait Nouh 1. Consider the function ?(?) =𝑥2−5𝑥+410𝑥2−40a.Find the y-𝑖𝑛𝑡?𝑟𝑐?𝑝𝑡 b.Find the x-intercepts, if any. c.Find vertical asymptotes, if any. d.Find horizontal asymptotes, if any.
All work must be shown to be awarded full credit. Provide exact solutions to all problems, unless otherwise stated. A graphing calculator is allowed. Math 1508 Exam-2 9:30AM Spring 2019 2. Find the partial decomposition for the fraction ? ? 2 − 3? − 10
All work must be shown to be awarded full credit. Provide exact solutions to all problems, unless otherwise stated. A graphing calculator is allowed. Math 1508 Exam-2 9:30AM Spring 2019 3.Solve the system by the method of elimination and check any solutions algebraically.
All work must be shown to be awarded full credit. Provide exact solutions to all problems, unless otherwise stated. A graphing calculator is allowed. Math 1508 Exam-2 9:30AM Spring 2019 4. a) How many years does it take a principal of 𝑃 = $10,000to triple, if compounded monthly in a bank with an annual bank rate of 𝑟 = 12%(Round to the nearest year). b) Explain clearly why the tripling time does not depend on the amount of the original principal. In other words, any principal will take the same time to triple regardless of the amount.
All work must be shown to be awarded full credit. Provide exact solutions to all problems, unless otherwise stated. A graphing calculator is allowed. Math 1508 Exam-2 9:30AM Spring 2019 5. a) Find the product ?? using ? = [ −1 −2 −5 4 10 ] and ? = [ 2 −1 −2 9 ] . Show all work. b) Let ? = [ 2 1 −5 −2 ] . Compute the following powers of this matrix using Cayley- Hamilton’s theorem ( ? 2 = 𝑡𝑟𝑎𝑐?(?) ? − det(?) 𝐼 ). 1) ? 2 = 2) ? 3 = 3) ? 125 =

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