Question: Find a path in R 2 whose image set is: (a) The circle with radius 5 and center at (1, 2). (b) The ellipse which

Find a path in R 2 whose image set is:

(a) The circle with radius 5 and center at (1, 2).

(b) The ellipse which in Cartesian coordinates has the equation, x^2/16 + y^2/9 = 1.

(c) The branch of the hyperbola, x^2/16 y^2/9 = 1 lying in the lower-left quadrant (x, y) 0.

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