Worksheet4

# Worksheet4 - 2 2 4 4 y xy x y x T-= An ant on the plate...

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Worksheet #4 Extrema 1) Determine the values of k that generate saddle pt., local min, local max, or is inconclusive at (0,0)? 2 2 ) , ( y kxy x y x f + + = 2) Find all local maxima, local minima, and saddle pts of x y y x f sin ) , ( = . Find all global maxima and minima if ] [ π 2 , 0 , y x

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3) The temperature at a pt (x,y) on a metal plate is
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Unformatted text preview: 2 2 4 4 ) , ( y xy x y x T +-= . An ant on the plate walks around the circle of radius 5 centered at the origin. What are the highest lowest temps encountered by the ant? 4) Find the minimum distance to the origin from the surface 1 2 2 2 =-+ z y x ....
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Worksheet4 - 2 2 4 4 y xy x y x T-= An ant on the plate...

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