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3.3 A circle has rectangular coordinates equation (Jr 2)2 + {y 1]2 = 4. 3. Graph it. HELP: compare to the generic form: {x It}2

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3.3 A circle has rectangular coordinates equation (Jr 2)2 + {y 1]2 = 4. 3. Graph it. HELP: compare to the generic form: {x It}2 + {y it)2 = r2 to find its center and radius and simplyr plot 4 points [east end, north end, west end and south end]. b. Suppose a particle moves on this circle. Give the parametric equations for the portion of circle that corresponds to the particle moving CCW starting at the west end of the circle and ending at the south end. HELP: t1 =51 =Tl.' anclt2 = 2 22H b. What would change in the tdomain if the particle starts at the west end of the circle and moves CCW but two full rotations. c. Give the parametric equations for the portion ofcircle that corresponds to the particle moving CW starting at the south end of the circle and ending at the north end of the circle. TI HELP: :1 = all _ 2

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