Give a parameterization for the ellipse 36x² - 25y² = 900 that begins at the point (5,0) and traverses once in a counterclockwise manner.
a) x(t) = 5cos(t), y(t) = 2sin(t)
b) x(t) = 3cos(t), y(t) = 5sin(t)
c) x(t) = 2cos(t), y(t) = 3sin(t)
d) x(t) = 4cos(t), y(t) = 3sin(t)