(i)The parametrized curve6:R→R2 is given by6(t):=(cos3(t),sin3()andthe image is shown in the following picture.y11-11-1The arclength from0tot,for0≤t≤T/2 is given bys(t)=sin2(t).(a)Find a unit-speed reparametrization6:]ā，B[→R2 of the curve6restricted to 0,You should state explicitly what the domaina,B[is and you should simplify your answer so that it does notcontain any trig functions.(b)Explain,with reference to the picture,why you might not expectto be able to extend the unit-speed reparametrization beyond therestricted domain.