1. (10 points) First of all, generate N1000 random variables x(» (ra) (x\" x\")

Question

1. (10 points) First of all, generate N1000 random variables x(» (ra) (x" x") representing 1000 random coordinates in the unit square S- [0, 1]2. In your report, state clearly how you did it in Python x numpy.randon. rand ( ) # a vector of N two-dimensional coordinates in the range o,112 2. (10 points) Next, construct the set using the h(z) given in (2). Write a function my-h-function that takes a vector of N coordinates x and outputs a vector output of N values of h(x) def my_h_function (x) output = . . . return output Similarly, for the function g(x) given in (2), write a function my_g_function that takes a vector of N coordinates x and outputs a vector output of N values of g(x) def my_g_function(x): output = . . . return output Highlight the region of g(x) where h(x) 2 0 by h my_h function(x) gmy-g_function(x) fig pít.figure ( ) ax fig.add-subplot ( 1 1 1, projection = '3d!) ax, scatter (x[: ,0], x[: ,1], g, c h>#0) Submit your plot

Explanation / Answer

Solution to question no. 1

rand(1000,2), this is the command that will generte 1000 random numbers in [0,1].

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