An incompressible liquid with negligible viscosity and density \(ho=1.75 \mathrm{slug} / \mathrm{ft}^{3}\) flows steadily through a horizontal pipe. The pipe cross-section area linearly varies from \(15 \mathrm{in}^{2}{ }^{2}\) to \(2.5 \mathrm{in.}^{2}\) over a length of 10 feet. Develop an expression for and plot the pressure gradient and pressure versus position along the pipe, if the inlet centerline velocity is \(5 \mathrm{ft} / \mathrm{s}\) and inlet pressure is \(35 \mathrm{psi}\). What is the exit pressure? Use relation

\[u \frac{\partial u}{\partial x}=\frac{1}{2} \frac{\partial}{\partial x}\left(u^{2}\right)\]