(i) Write an expression for A(E) the area enclosed by the curve H(x, y) = E in terms of E. Hint: as before, solve for y as a function of x by working in the first quadrant then multiply your final answer by 4. The area under the graph of y(x) is what? (ii) Calculate dA. Hint: commute the derivative and the integral (a la Feynman). Compare this expression with the one you found for T. Problem 6 ((Extra) Extra Credit): Repeat the above steps for the simple harmonic oscil lator r" = -r. How (if at all) does 7 depend on E or a