MATH 129 Midterm: MATH 129 University of Arizona Exam 4
31 Jan 2019
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Exam # 4, sections 10. 1 - 10. 3 & 11. 1 - 11. 4. By signing my name below, i agree that i am following all rules and regulations set forth by the code of academic integrity. Furthermore, i agree that i am following all rules set by my instructor and by the course policy for this exam. This includes ensuring that all calculator programs have been deleted. 1: consider the function f (x) = cos(x). (a) find the third degree taylor polynomial for f (x) about x = /6. [ 10 points ] (b) use the the third degree taylor polynomial for f (x) to approximate cos(11 /60). [ 5 points : identify the following series as the series expansion of a particular function and use this information to nd the sum of the series. 2: write out the rst four nonzero terms for the taylor series of the function for x near 0.
