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Creating Parametric Equations

Write a pair of parametric equations that produces a line segment starting at (2,3) at t = 0 and ending at (5,9) with t = 2.

Write a pair of parametric equations that produces a line segment starting at (-2,4) at t = 3 and ending at (5,-9) with t = 7.

Write a pair of parametric equations that produces a entire circle with center (0,0) that has a radius of 5.

Write a pair of parametric equations that produces the portion of the circle x^2 + y^2 = 4 that lies in the 3rd quadrant.

Write a pair of parametric equations that produces the portion of the circle x^2 + y^2 = 9 that lies below the xAxis.

Write a pair of parametric equations that produces an entire ellipse with center (0,0), horizontal major axis of length 10, and vertical major axis with length 6.

Write a pair of parametric equations that produces an entire ellipse with center (0,0), vertical major axis of length 10, and horizontal major axis with length 6.

Write a pair of parametric equations that produces an entire circle with center (-3,2) that has a radius of 5.

Write a pair of parametric equations that produces an entire ellipse with center (3,-2), horizontal major axis of length 8, and vertical major axis with length 4.

Write a pair of parametric equations that produces an entire ellipse with center (3,-2), vertical major axis of length 8, and horizontal major axis with length 4.