Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1, and f(2) = 2, then:

The function f(x) = (x + 1)(x - 2)2 has a local minimum at x equal to:

The slope of the normal to the curve y = xx+2 at x = 1 is:

Given that the radius of a circle is increasing at a constant rate of 1 cm/s, what is the instantaneous rate at which the circle's area is increasing when the radius measures 5 cm?