A one-dimensional plane wall is exposed to convective and radiative conditions at \(x=0\). The ambient and surrounding temperatures are \(T_{\infty}=20^{\circ} \mathrm{C}\) and \(T_{\text {sur }}=40^{\circ} \mathrm{C}\), respectively. The convection heat transfer coefficient is \(h=20 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}\), and the absorptivity of the exposed surface is \(\alpha=0.78\). Determine the convective and radiative heat fluxes to the wall at \(x=0\) if the wall surface temperature is \(T_{s}=24^{\circ} \mathrm{C}\). Assume the exposed wall surface is gray, and the surroundings are large.