$[q,/30$pts$.]$ You have two basic velocity potentials to be superposed as follow.

${}_1=\frac{Kcos}{r}$

${}_2=$Urcos$$

where $U=1\mathrm{.}0[\frac{m}{s}],K=4\mathrm{.}0[\frac{m^3}{s}]$

$(1)$ Draw a body and streamlines as detail as it can be$.$

$(2)$ Derive velocity components at the surface of the body $(v_{rs},v_s),$ and calculate their maximum values.

$(3)$ Mark stagnation points.

$(4)$ Mark separation points, if any. If not, describe why.