Description

Mathematica
Problem Sheet 4 Graphics and Sound: 2D Plot, ContourPlot, PolarPlot, ParametricPlot
1. a) Plot the curve of following relation:
y  x2 for 1 x 1
b) Label the axes
2. a) Plot the curve of following relation:
y ex sin x for 5 x  5
b) Label the axes
3. a) Plot the curves of following two relations in a single graph
y  sin x and ycosx both for 3 x  3
b) Use two different colors to distinguish them
4. a) Plot the curves of the following two relations in a single graph
y 1x2 for 1 x 1 and y = ln x for 0.5  x 1
b) Use two different colors to distinguish them.
5. Draw the curves representing the following relations:
a) sin(xy)  sin xcosy for  x  and   y 
b) x2 16y2  4xy  22x  46y 9  0for 50x5 and -20 < y < 20

6. Draw the curves of the following equations in polar coordinates system:
a) r  cos(4)for 0  2 b) r  5sin(10) for 0  2
7. Draw the curves of the following parametric equations:
a) x 5cos, y  5sin for 0  2
b) x  4t, y  4t 5t2 for 0  t  4/5

Graphics and Sound: 3D Plot, ContourPlot3D, RevolutionPolt3D,
1. Draw the curvatures corresponding to the following equations:
a) z  sin(xy) for 0  x 2, and 0  y 2
Label the axes by using AxesLabel option
b) z  x2  y2 for 5  x  5 and 5  y 5
2. Show both of the curvatures, corresponding to the following equations, in a single 3D graph.
z  x2  y2 for 5  x  5 and 5  y 5 and z (x2  y2) for 5  x  5 and 5  y 5