Unformatted text preview: p ( s,t ) = ( s,t,f ( s,t )) is a regular parametrization of the graph z = f ( x,y ) of any C 1 function f ( x,y ) of two variables. (b) What is the appropriate generalization for n > 2 variables? 10. Show that the extreme values of the function b (cos θ ) −→ v + (sin θ ) −→ w b 2 occur when tan 2 θ = 2 −→ v · −→ w b −→ v b 2 − b −→ w b 2 ....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
- Fall '08