Homework 9- Additional ExercisesProblems 1-7 regard parametric equations for plane curves (see section 10.1).Problems 8 and 9 regard the slope and concavity of parameterized curves (see section 10.2).In problems 1-6, do the following:(a) Eliminate the parameter to find a Cartesian equation for the curve.(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.x=3t-5,y=2t1x=t2-2,y=5-2t,-3t4x=t2,y=1-tx=e2t,y=t1x=lnt,y=t2,t1x=cost2*u(t-2),y=sint3*u(t-2),0t4uu(t)={1ift00ift<0Cx(t)=t22t,y(t)=t31, for tin(-,)dydx=(dydt)(dxdt)CPt=(x(t),y(t))CPt=(x(t),y(t))Cd2ydx2=ddt(dydx)dxdttCPt=(x(t),y(t))Cx=sint,y=csct,0x=e2t,y=t1x=lnt,y=t2,t1Plot the graph defined by the parametric equations:x=cost2*u(t-2),y=sint3*u(t-2), for 0t4 where uis the unit step function: u(t)={1ift00ift<0.Consider the curve C described parametrically byx(t)=t22t,y(t)=t31, for tin(-,)(a) Find dydx=(dydt)(dxdt). Why must the graph ofCbe smooth everywhere?(b)At which point Pt=(x(t),y(t))is the tangent line to the graph ofC horizontal?(c)At which point Pt=(x(t),y(t))is the tangent line to the graph ofC vertical?(d) Find d2ydx2=ddt(dydx)dxdt and the t-intervals on which the graph ofCis concave up and those on which itis concave down.(e) Find all points Pt=(x(t),y(t))at which the concavity to the graph ofC changes. I NEED 2,4 Only