Find an appropriate parametrization for the given piecewise-smooth curve in R^3.The intersection of the plane z=9 with the elliptical cylinder (x^2/4)+(y^2/16)=1c(t)=? for t[0,1]Here's a sample question and solution below. I just do not know how they got there.Find an appropriate parametrization for the given piecewise-smooth curve in R^3.The intersection of the plane z=7 with the elliptical cylinder (x^2/4)+(y^2/9)=1Answer: c(t)=((2cos2*pi*t),3sin(2*pi*t),7) for t[0,1]