If x2 = au + bv and y2 = au - bv, then the value of (∂u/∂x) • (∂x/∂u) is equal to:

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: