A particle is described by the normalized wave function $\psi$$(x, y, z)$ = $Axe$${^-}{^a}{^x}^2$$e$${^-}{^\beta}$${^y}^2$$e$${^-}{^y}^z$$^2$, where $A$, $\alpha$,$\beta$, and $\gamma$ are all real, positive constants. The probability that the particle will be found in the infinitesimal volume $dx$ $dy$ $dz$ centered at the point $(x_0$, $y_0$, $z_0$) is $\mid$$\psi$$(x_0$, $y_0$, $z_0$)$\mid$$^2$ $dx$ $dy$ $dz$. (a) At what value of $x_0$ is the particle most likely to be found? (b) Are there values of $x_0$ for which the probability of the particle being found is zero? If so,at what $x_0$$?$