Homework 9

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EXERCISE 9.1 (PLOT)

Plot functions sin(x), cos(x), and exp(-x) in a range [0,10] in the same figure. Colors are red, green, and blue, respectively. Lines are solid, dashed, and dotted, respectively. Add a legend.

EXERCISE 9.2 (SCATTER)

Generate n=100 random points in a unit square [0,1] × [0,1]. Points are green if the distance from (0,0) is less then 1; they are red otherwise. The marker area of a point (x,y) should be proportional to |x|+|y|.

EXERCISE 9.3 (IMSHOW)

Create a function that calculates, for any point (x,y), the sum of distances from the two points in the plane: (-1,0) and (1,0). Show the function values using imshow() in a square [-2,2] × [-2,2].