Part One: Material from Exam #1 For multiple choice, T/F, and fill in the blank questions, please answer accordingly. For free response, please work your problem on your scratch paper.     

If an does not converge to 0, then 

Determine the interval of x-values for which the series converges: 

Part Three: Material from Exam #3 For multiple choice, T/F, and fill in the blank questions, please answer accordingly. For free response, please work your problem on your scratch paper. 

True or False: A p-series always converges. 

Find the sum of the series as a function of x: 1 + (5x – 2) + (5x – 2)2 + (5x – 2)3 + ….

Without completing the square, identify the graph whose equation is  10×2 – 5y2 – 14x + 6y + 41 = 0 The graph of the equation is a [1]. 

Match the equation with the surface it defines. identify the surface by type (paraboloid, ellipsoid, etc.) Equation:    2×2 + 3z2 = 35 Which graph? [1] Choice A Choice B Choice C   What is the name of the graph?  [2]

Part Two: Material from Exam #2 For multiple choice, T/F, and fill in the blank questions, please answer accordingly. For free response, please work your problem on your scratch paper. 

Find the sum of the series as a function of x:  1 + (3x – 4) + (3x – 4)2 + (3x – 4)3 + ……