Unformatted text preview: 9. For the function f ( x, y ) = (ln( y )) 2 x (a) Find the linearization L ( x, y ) at the point (1 , e 2 ). (b) Determine if f ( x, y ) is diﬀerentiable over its domain. 10. A 3 in. wide boundary stripe is painted around the perimeter of a rectangular ﬁeld whose dimensions are 150 ft. by 300 ft. Use diﬀerentials to approximate the number of square feet of paint in the stripe. 11. For the function f ( x, y ) = x 3yx + y 3 (a) Find its local maximums, local minimums, and all of its saddle points. (b) Explain why it is or is not possible to ﬁnd any absolute maximums or absolute minimums for f in the region R = [( x, y ) :  x  +  y  < 1]....
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 Winter '08
 BRIGHAM
 Math, Derivative, Continuous function, xy satisﬁes Laplace, wide boundary stripe

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