Create a mesh plot, surface plot, and contour plot of the function \(z=\) \(e^{x+y}\) for the interval \(-1 \leq x \leq 1\) and \(-2 \pi \leq y \leq 2 \pi\). In each case, plot the real part of \(z\) versus \(x\) and \(y\).

To create mesh, surface, and contour plots for the given function \(z = e^{x+y}\) within the intervals \(-1 \leq x \leq 1\) and \(-2\pi \leq y \leq 2\pi\), follow these steps: 1. Define the function: \(z(x, y) = e^{x+y}\) 2. Create a domain grid: For x: \(-1 \leq x \leq 1\), For y: \(-2\pi \leq y \leq 2\pi\) 3. Mesh plot: Compute z values at each grid point and plot on a 3D graph with x, y, and z axes. 4. Surface plot: Similar to mesh plot, but represent the surface like a solid object. 5. Contour plot: Plot contours on x-y plane, representing different z values. After these steps, you will have successfully created mesh, surface, and contour plots of the function \(z = e^{x+y}\) within the given intervals.