Suppose we know that the functions u and v are everywhere differentiable and that u(3) = 0. Suppose we also know that for 1 ≤ x ≤ 3, the area between the x-axis and the nonnegative function h(x) = u(x) dv/dx is 15, and that on the same interval, the area between the x-axis and the nonnegative function k(x) = v(x) du/dx is 20. Determine u(1)v(1).