Problem 5 (Hilarious Joke). "I wanted to plot a circle in Matlab, but no matter how I tried it was always just a little bit off. Turns out, it was a rounding error." Please explain the joke. Problem 6 (Composite Functions). Let f be a function with relative condition number K at , where r #0. Furthermore assume that f(x) +0, and let g be a 1 function with relative condition number K2 at f(x). Assuming that g($(x)) = 0 as well, show that the composite function go f defined by g f(x) = g(f(x)) has relative condition number Kik2 at x. (Hint: You may assume that both f and g are differentiable, but it is not strictly necessary to do so.]