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Unformatted text preview: V be calculated from measurements of r and h that are in error by 2% and 4%, respectively? 5. Let f ( x,y ) = x 2 y and g ( x,y ) = 2 y 2 + x 2 . a. (6 points) Sketch some level curves for f and g on the same axis. b. (14 points) Show that at any point ( x,y ) with y 6 = 0, the level curves intersect at right angles. 6. (16 points) Find the values of x and y > x such that F ( x,y ) = Z y x (6-t 2 ) dt has its maximum value. Give an explanation why your solution is a maximum. Extra Credit: (10 points) In the plane, ﬁnd s and t that minimize the sum of the distance from A = ( t, 0) to B = ( s, 1-s ) plus the distance from B = ( s, 1-s ) to C = (1-t 2 , 1), where s and t are any real numbers....
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This note was uploaded on 09/29/2009 for the course 1920 1920 taught by Professor Connelly during the Fall '10 term at Cornell.
- Fall '10