Math 152 Workshop Problems Write up your solutions to each of these problems on a seperate sheet of paper. 1. Find all complex number solutions to each of the following equations. (a) z³ (b) z4 = 2 81 81 = √2 √2 (c) z12 1 4096 4/2 Review: 2. Consider the circle (x - 1)² + y² = 1 (a) Set up, but do not evaluate, an integral with respect to x that calculates the arc length of t upper half of this circle. (b) Find a parametrization of this circle and use it to set up an integral that calculates the arc leng of the upper half of this circle. (c) Write the equation of this circle as a polar equation, and then use it to set up an integral th calculates the arc length of the upper half of this circle. 2 (x² + 1) 1/4 3. Let R be the region above the x-axis, below y x2 volume of the solid obtained by revolving R around the x-axis. = , and to the right of x = 1. Find th x= 4. Use a known Maclaurin series to find the sum of the following series. π² 3- πT πο + π8 2! 3 4! 33 6! .35 + +... 8!.37