1. (15%) Use the Lagrange multipliers to find the extreme values of f(x, y) = x2 + 2y2 on the circle x2+y2=1

3.(25%) Sketch the curve y = e-1/(x+1)(You need to describe (a) domain, (b) intercepts, (c) asymptotes (horizontal and vertical if any), (d) intervals of increase and decrease, (e) local maximum and minimum values, (f) interval of concavity, (g) point of inflection, and (h) sketch the curve)