Find the second derivative at the critical points of the following functions. Classify the critical points as minima and maxima. Use the second derivative to draw an accurate graph of the function for the given range.
1. a(x) = x/1 + x for 0 ≤ x ≤ 1.
2. f(x) = 1 + 2x - 2x2 for 0 ≤ x ≤ 2.
3. c(w) = w3 - 3w for -2 ≤ w ≤ 2.
4. g(y) = y/1 + y2 for 0 ≤ y ≤ 2.
5. h(z) = ez2 for -1 ≤ z ≰ 1.
6. c(θ) = cos(2πθ) for -1 ≤ θ ≤ 1.