Consider the parametric curve given by the equations
x(t)=t^2+27t+15
y()=2+27+35
Determine the length of the portion of the curve from =0 to t=4
2.Suppose a curve is traced by the parametric equations
x=3(sin()+cos())
y=27−6cos2()−12sin()
as t runs from 00 to π. At what point (x,y)(x,y) on this curve is the tangent line horizontal?
x=?
y=?