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See the answer Find ∂z/∂x and ∂z/∂y (a.

B2 yxg z. Y= x g(x;y)=x2 2y2 =1,g x=2x, g y=4y y=2 x (1) x=4 y (2) x 22y =1 (3) Substituting (1) into (2) gives x =4 (2 x), or x(8 2 −1) = 0)x =0or = 1 p 8 For x=0,(2) gives y= 0, but contradicts with (3) No solution in this case For =1= p 8, (2) gives x= p 2y Substituting into (3) gives 2y2 2y2 =1) y= 1=2 So x= 1= p 2 Critical points at (1= p. Z Z R y x dxdy = Z Z R v 2(1−v2) dudv = Z 1/2 0 Z 4 1 v 2(1−v2) dudv = − 3 4 ln(1−v2) 1/2 0 = − 3 4 ln 3 4 Puttinginthelimits In the examples worked out so far, we had no trouble finding the limits of integration, since the region R was bounded by contour curves of u and v, which meant that the limits were constants. Delice & Sarrasin, New York, New York 2,296 likes Restaurant Francais Vegan.

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Z Y X G MODULE 1 6 5 4 3 2 1 MODULE 2 12 11 10 9 8 7 MODULE 3 18 17 16 15 14 13 Title TPX Author Michael Lin Created Date 3/14/17 PM. ”â # ¥j ­é"¶ $¾`&Ç/(Ð *Øh,àÚéµ0ò‚2û 4 ¸6 8 \ Ã. Question Find ∂z/∂x And ∂z/∂y (a) Z = F(x)g(y) (b) Z = F(xy) (c) Z = F(x/y) This problem has been solved!.

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