Unformatted text preview: (After Oct. 5) (10 pts.) Find the minimum value of x 2 y , where x and y are positive real numbers satisfying xy 2 = 5. (Warning: This question is misleadingly stated.) B.2) (After Oct. 8) (10 pts.) Show that the solutions f ( x, y ) to the PDE ∂ 2 f ∂x 2 = y are exactly the functions of the form f ( x, y ) := y 2 x 2 + g ( y ) x + h ( y ) for some functions g ( y ) and h ( y ). Reminder: Please write “Sources consulted: none” at the top of your homework, or list your (animate and inanimate) sources. See the course information sheet for details. 1...
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 Fall '08
 Auroux
 Multivariable Calculus, 2J, 5 pts, 2k, 10 pts, 15 pts

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