hw6 - Math 53 Homework 6 Due Wednesday 10/6/10 in section...

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Unformatted text preview: Math 53 Homework 6 Due Wednesday 10/6/10 in section (The problems in parentheses are for extra practice and optional. Only turn in the underlined problems.) Tuesday 9/28 Max-min problems Read: section 14.7. Work: 14.7: (1), 3 , 7 , (11), (21), (29), 33 , 34 , (37), 41 , (45), 47 . Thursday 9/30 Lagrange multipliers Read: section 14.8. Work: 14.8: (1), 3 , (7), 9 , (25), 29 , (33), 35 . Chapter 14 review Work: Problems 15 below. Problem 1. The figure on the next page is the contour plot of a function of two variables f ( x, y ), for x and y ranging between 0 to 2 (scale: 1 unit = 5 cm; spacing between contour levels: 0.2). a) Use the contour plot to determine whether f x and f y are > 0, = 0, or < 0 at the point ( 3 2 , 1 2 ). Same question at the point (1 , 1)? b) Use the contour plot to find two points where f x = f y = 0, and give their approximate coordinates. What happens to the level curves of f through these points? For each of the two points, describe what happens when you move towardspoints?...
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hw6 - Math 53 Homework 6 Due Wednesday 10/6/10 in section...

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