\table[[R(t)=ln(e*t)itj4-t2k,(2,e,4-e2),1]]For your given function:Find domain. Present your result using interval notation. In your submission file clearly explain how you found domain and make a sketch of the domain on a number line.Find v(t) and a(t)Find coordinates of the point A on the curve when t has the value given in column 4. Show the workDetermine value of t at the given point P on the curve (column 3) Show the workFind velocity v at the point A.Write equation of the tangent line at the point A.Find curvature at the point A using =|va|1243. Show the work!Graph the curve and the two points A and P on it with MATLAB (Octave). Make sure you graph within domain.Graph the tangent line together with the curve and the points.Set up integral to evaluate arch length between points P and A. Approximate the integral using trapz or quad commands.\table[[#,VVF function,Point P,t value (for point A)],[1,R(t)=i+tjj+ln(t-1)k,(2,16,ln(3)),?2+1