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13 Nov 2019
1. Consider the following functions of two variables: 6x2y3 g(x, y)-2x5+y5 F(x,y) = cos 4x sin 2y (a) Show thatcli) does not exist. (x.y) (0,0) (b) Suppose that the equation Fx, y)- 0 defines y implicitly as (c) For the function F(x, y), verify that the following mixed Feyy(x,y)-Fyxy(x,y) = Fyyx(x,y) a differentiable function of x. Find x using the Chain Rule. third partial derivatives are equal:
1. Consider the following functions of two variables: 6x2y3 g(x, y)-2x5+y5 F(x,y) = cos 4x sin 2y (a) Show thatcli) does not exist. (x.y) (0,0) (b) Suppose that the equation Fx, y)- 0 defines y implicitly as (c) For the function F(x, y), verify that the following mixed Feyy(x,y)-Fyxy(x,y) = Fyyx(x,y) a differentiable function of x. Find x using the Chain Rule. third partial derivatives are equal:
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Lelia LubowitzLv2
10 Feb 2019