Exercise 1 Use X DataSlice to display a color map of the following function on the cube -5 < x,y, z < 5 for t = 1.1

y = ymin do 1 n = 0,nmax x = xmin do 2 m = 0,mmax z = zmin do 3 k = 0,kmax u(m,n,k) = (erf((x+1)/sqrt(t))-erf((x-1)/sqrt(t)))* 1 (erf((y+2)/sqrt(t))-erf((y-2)/sqrt(t)))* 2 (erf((z+3)/sqrt(t))-erf((z-3)/sqrt(t))) z = z + dz 3 continue x = x + dx 2 continue y = y + dy 1 continue
Exercise 2 Explore the data set of Exercise 1 using the Planes Along Axes feature of X DataSlice with the Spread option to inspect various cross-sections in each of the coordinate planes. Describe the surface where u has the value 1.

Exercise 3 Explore the data set of Exercise 1 using the Planes Along Axes feature of X DataSlice with the Frame option to inspect various cross-sections in each of the coordinate planes. How does this method relate to Exercise 2?

Exercise 4 Explore the data set of Exercise 1 using the Planes Along Axes feature of X DataSlice with the Tile option to inspect various cross-sections in each of the coordinate planes. How does this method relate to Exercise 2 and Exercise 3?

Exercise 5 Use the Cartesian Dicer to cut and display a cutaway of the data set.