$(10$ pts $)$ Using the diagram for a flat plate provided below, sketch the velocity profiles for the three $x$ locations depicted along the $x$ axis, assuming laminar flow. The profiles should be distinguishable enough to show an evolution across the flat surface, otherwise credit will not be given. The far$-$field velocity ahead of the flat plate has been provided for you.

$(8$ pts $)$ Using the space below, sketch a plot of the shear stress as a function of $x$ for the flat plate shown above in Short Answer, Problem $3.$ Write the functional form $f(x)$ of the shear stress as it relates to $x,$ e$.$g$.,$ if ${}_w$propf$(x),$ is $x$ linear, quadratic, etc?