Calc11_3 FuncOfTwoInd - Greg Kelly Hanford High School...

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Greg Kelly, Hanford High School, Richland, Washington
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The functions that we have studied this year have all been functions of one independent variable: eg: ( 29 ( 29 ( 29 2 sin f x x f x x = = In real life, functions often have more than one independent variable: eg: 1 Area of a triangle: 2 A bh = ( 29 1 , 2 f b h bh = ( 29 2 2 2 , , f x y z x y z = + + 2 2 2 w x y z = + +
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Functions with two independent variables can be represented graphically. This is not easy to do by hand, and our calculators do not do a great job either. ( 29 2 2 , 100 z f x y x y = = - -
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y x z ( 29 2 2 , 100 z f x y x y = = - - 10 10 100 sketch of graph
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