**Exercise 1** Solutions to the diffusion partial differential equation can be expressed in
terms of the error function. Write a computer program similar to Code 2 that sequentially
displays a color raster map of the following function on the square -5 < x,y < 5 for t = .1;
t = 1.1; t= 2.1.

**Exercise 3** Use plotmtv to produce a three dimensional line drawing of a cone.

**Exercise 4** Use plotmtv to produce a wire frame representation of
a paraboloid,

*z = x² - y²*.

**Exercise 5** Use plotmtv with the option -plotall to produce a graphic of a paraboloid
intersecting a plane

**Exercise 6** Given the function u(x,y,z) = x² + y² + z², find the gradient of u and use plotmtv
to display this three dimensional vector field

**Exercise 7** Modify Figure 7 so that each vector in the graphic has the same length and use
the underlying color raster map to represent the magnitude of the vector.

Previous Section : 2D/3D Vector Data and Raster Map

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