(Solved): position of an object in circular motion is modeled by the parametric equations x=4sin(2t)y=4cos(2 ...

position of an object in circular motion is modeled by the parametric equations $$x=4\sin (2t)y=4\cos (2t)$$ nere $$t$$ is measured in seconds. The radius is , the position at time $$t=0$$ is $$(x,y)=($$ It takes units of time to complete one revolution. (b) Suppose the speed of the object is doubled. Find new parametric equations that model the motion of the object. $$(x(t),y(t))=()$$ (c) Find a rectangular-coordinate equation for the same curve by eliminating the parameter. (d) Find a polar equation for the same curve. (Use variables $$r$$ and $$?$$ as needed.)