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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. 

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]. 

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  2y2 – 4x + 2y + 22 = 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 + ……

Consider the curve traced out by the parametric equations  

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. 

This data in the table shows the result from the calculation of Pi. Identify this answer in standard format.

Inspect the Picket Fence in the picture below. Dropping it through a Photogate will provide data to determine g. Since the distance, measured from one edge of a black band to the same edge of the next band, is 5 cm. What additional information will you need to determine the average speed of the Picket Fence as it moves through the Photogate?