Please solve all parts, showinf all steps Compute the arc length of a curve $y=f(x),axb.$ The formula is $L={\displaystyle \underset{a}{\overset{b}{}}}\sqrt[\phantom{2}]{1f^{\text{'}}(x{)}^2}dx$

a$)$ Find the arc length of a circle of radius $4.$

b$)$ Find the arc length of the line segment from $(0,0)$ to $(3,4).$

c$)$ Find the length of $y=x!$ between $x=0$ and $x=4.$

d$)$ Find the length of between $x=-1$ and $x=1.$

e$)$ Find the length of $y=\frac{x^2}{2}-\frac{lnx}{4}$ between $x=1$ and $x=2.$