The equations u D x2 C y2 v D x2 ? 2xy2 define x and y impli
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The equations u D x2 C y2 v D x2 ? 2xy2 define x and y implicitly as functions of u and v for values of .x; y/ near .1;
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The equations u D x2 C y2 v D x2 ? 2xy2 define x and y implicitly as functions of u and v for values of .x; y/ near .1; 2/ and values of .u; v/ near .5; ?7/. (a) Find @x @u and @y @u at .u; v/ D .5; ?7/. (b) If z D ln.y2 ? x2/, find @z @u at .u; v/ D .5; ?7/.
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