Let f(x) be a real-valued function defined for all x ∈ R, such that |f(x) - f(y)| ≤ (x - y)2, ∀ x, y ∈ R, then:

What is the value of the definite integral 10∫ x dx?

The value of the double integral ∫12 ∫0y/2 y dx dy is:

If f(x) = x3 - 6x2 + 9x + 1, then the local maximum and local minimum values of f(x) are, respectively: