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4. Consider the point with Cartesian coordinates . Which of the following options represents this point in polar coordinates?

6(c) [10 points] Find the Taylor series for the function

7(a) [10 points] A curve is defined by the following parametric equations. Find an equation of the tangent line to to the curve at the point where .  

6 (b) [10 points] Represent the function as a power series. Simplify your answer completely by combining all terms within the summation.

Multiple Choice Section  Choose the one option that answers each question 1-4. There is no partial credit for questions 1-4. You can change your answers to the multiple choice questions, but the Correct/Incorrect feedback for multiple choice questions will not be shown during the exams. You do not need to show or scan work for the multiple choice questions.

6 (a) [10 points] Find the radius and interval of convergence of the following series. State and justify any test you use, and be sure to verify any necessary conditions.

2. Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves and   about the x-axis?

If you purchase a bicycle for $210 and the sales tax rate is 6.7%, how much sales tax will you pay for this item?

Using the table on the formula sheet, chose the given Hindu-Arabic numeral as an Egyptian numeral: 1,010,101

A small town had a population of 8,000 in 2010. By 2020, the population had grown to 10,400. What is the percent increase in the town’s population over this period? Round your answer to the nearest tenth of a percent.