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PHZ3113–Introduction to Theoretical PhysicsFall 2008Problem Set 5September 17, 2008Due: Friday, Sept. 19, 2008Reading: Boas chapt. 41. FindddxZ1/x1exttdt (1)2. The equation of state for a van der Waals gas is³p +av2´(v − b) = C. (2)Calculate dv/dp by the method of total differentials.3. Expand(a) f(x, y) = xy2+ 2x2+ 1 around (1,2).(b) g(x, y) =y2x3around (1,0).4. Minimize the function f = x2+ y2subject to the constraint y = 1 − x2.5. Problem 5 (Shankar) on next
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