Consider the parametric equations below.

x=4t5,y=3t+1

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced astincreases.

(b) Eliminate the parameter to find a Cartesian equation of the curve.

Consider the parametric equations below.

x=3+3t,y=4t²

(a) Eliminate the parameter to find a Cartesian equation of the curve.

Find parametric equations for the path of a particle that moves along the circlex²+ (y3)²=16

in the manner described. (Enter your answer as a comma-separated list of equations. Letxandybe in terms oft.)

(a) Fourtimes around counterclockwise, starting at (4,3).0t8.