Find a path in R? whose image set is: (a) The circle with radius 4 and center at (–1,3). (b) The ellipse which in Cartesian coordinates has the equation, x2 y? = 1. 25 9. (c) The branch of the...

Please solve (b) by finding a vector valued function f(t)=(x(t), y(t)) whose image set is the one given

Extracted text: Find a path in R? whose image set is: (a) The circle with radius 4 and center at (–1,3). (b) The ellipse which in Cartesian coordinates has the equation, x2 y? = 1. 25 9. (c) The branch of the hyperbola, x2 16 -= lying in the lower-left quadrant (x,y) <>