$4.$I$0$ In a mechanics of materials course, you will learn how to calculate the deflections of beams. The use of discontinuity functions allows the equation for the deflection of a beam with multiple loadings to be written as a single equation. The definition of a discontinuity function is as follows:

$v$

$u=\frac{1}{3\mathrm{.}19{10}^9}(800x^3-13\mathrm{.}68e6x-2\mathrm{.}5x^4+2\mathrm{.}5($:$x-120$:${)}^4+600($:$x-240$:${)}^3)x$