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Part Four: Material from Exam #4 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. 

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. 

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

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]. 

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

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. 

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]

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

Find the area of the triangle whose vertices are P(-4, 3, 9), Q(2, 1, 10), and R(3, 2, 11). Give an exact answer.