(Solved): The figure below shows three paths C1,C2 and C3. Path C1 is part of a circular helix of ...

The figure below shows three paths $C_1,C_2$ and $C_3$. Path $C_1$ is part of a circular helix of radius 1 , whereas $C_2$ and $C_3$ are line segments. The mass $m$ of a thin wire lying along a curve $C$ is given by $m={?}_C?(x,y,z)?\underset{?}{r}?,$ where $?(x,y,z)$ is the mass density of the wire. Find the mass of the portion of wire along $C_1$ if $?(x,y,z)=y\sin z(\mathrm{g}/\mathrm{cm})$.