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Let z=x2+xy+y2z = x ^ { 2 } + x y + y ^ { 2 }

Question 135

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Let z=x2+xy+y2z = x ^ { 2 } + x y + y ^ { 2 } , x=2u+vx = 2 u + v , and y=u−3vy = u - 3 v . Show that δ2zδuδv=−7\frac { \delta ^ { 2 } z } { \delta u \delta v } = - 7

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To find the second mixed partial derivat...

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