Test1-FS01 - Phys 208 Theoretical Physics Test 1 ( Sept....

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Phys 208 – Theoretical Physics – Test 1 ( Sept. 24, 2001) 1. (20 pts) a) Expand the function in a Maclaurin series. ln( ) 1 + x b) Determine the interval of convergence. 2. (20 pts) a) Given that , 1 1 1 23 + =− + − + x xx x L find the Maclaurin series for the function . arctan x du u x = + 1 2 0 b) Evaluate your results at to obtain a series for since x = 1 π 4 . arctan( ) 1 4 = 3. (20 pts.) Determine the equation made up of the points in the ( x,y ) plane satisfying the complex equation . || | | zi z i −+ = 22 4. (10 pts.) a) Find the roots of . You can leave the roots in polar form. i 1 3 (10 pts)
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