Example 8: (Calculator Permitted) Given \( y=e^{x}+1\) and \( y=2-x^{2}\)(a) Sketch the graphs of the tyo functions, and identify the region bounded by the two graphs. (b) Find the coordinates \((x, y)\) of the points of intersection of the two graphs. Show the work that leads to your answ (c) Using vertical slices, set up and evaluate an integral that gives the area of the region bounded by the two graphs (3 decimal accuracy).(d) Using horizontal slices, set up and evaluate an integral that gives the area of the region bounded by the two graphs (3 decimal accuracy).