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 3-yx + 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 mini-mums for f in the region R = [( x, y ) : | x | + | y | < 1]....
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This note was uploaded on 01/24/2011 for the course MATH 22 taught by Professor Brigham during the Winter '08 term at Missouri S&T.
- Winter '08