Chapter 13.7, Problem 3QCE

An equation for the tangent plane to the graph of $z=x^2\sqrt{y}$ at the point $\left(2,4,8\right)$ is $\text{\_\_\_\_\_\_,}$ and parametric equations for the normal line to the graph of $z=x^2\sqrt{y}$ through the point $\left(2,4,8\right)$ are

$x=\text{\_\_\_\_\_\_,}y=\text{\_\_\_\_\_\_,}z=\text{\_\_\_\_\_\_}$