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his exercise emphasizes the mechanical aspects of circles and their equations. (a) Find an equation whose graph is a circle of radius 3 centered at

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his exercise emphasizes the "mechanical aspects" of circles and their equations. (a) Find an equation whose graph is a circle of radius 3 centered at (-5, 3). (b) Find an equation whose graph is a circle of diameter centered at the point (3, - 2). (c) Find the equations for two different circles with radius 3 which pass through the point (1, 1). (Enter your answers as a comma-separated list. I (d) Consider the equation (x - 1)2 + (y + 1)2 = 16. Which of the following points lie on the graph of this equation? (Select all that apply.) D (0, 0) O (1, -1) O (1, 3) O (0, -1 - V15) O (1, -5) O (1 + V15, 0) Additional Materials

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