MATH 221 Final: MATH 221 KSU Final Exam s03
15 Feb 2019
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Work as many of the following problems as you can in one hour. No calculators are permitted for this exam. page. Sketch the graphs of e 1 , ln x , and ln( x) in the space provided below, all together. (try to display the essential features of these functions. ) (10) 2. An archaeologist has found an ancient greek clay pot, containing 70% as much 14c as a recently manufacured, comparable pot. How old is the pot? (express your answer in terms of ln(0. 7) and ln(0. 5) . ) Evaluate each of the following inde nite integrals. (a) z. 6dx x(x 1)(x + 2) (b) z xe xdx (c) z sec2 u tan2 u du: this problem concerns the inde nite integral z x3dx. X2 1 (8) (a) use trigonometric substitution to set up the problem as an integral of a trigonometric function. (big hint: you should wind up having to integrate a power of sec . )
