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 + ……

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. 

Write the equation of the line that passes through the points (-1, 2, [a]) and (3, [b], 6). Give only one set of parametric equations for your answer. 

Without completing the square, identify the graph whose equation is  3×2 + 3y2 – 5x + 6y + 4 = 0 The graph of the equation is a [1]. 

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

Without completing the square, identify the graph whose equation is  2y2 – 4x + 2y + 22 = 0 The graph of the equation is a [1]. 

Find the area of the triangle whose vertices are P(2, 3, 9), Q(-2, 1, 10), and R(3, 2, 8). Give an exact answer.