Let $$f$$ be the function with $$f(0) = \displaystyle \frac{1}{\pi^2}$$, $$f(2) = \displaystyle \frac{1}{\pi^2}$$, and derivative given by $$f'(x) = (x + 1)\cos(\pi x)$$. How many values of $$x$$ in the open interval $$(0, 2)$$ satisfy the conclusion of the Mean Value Theorem for the function $$f$$ on the closed interval $$[0, 2]$$?