Let $z = x ^ { 2 } y + x y ^ { 2 }$

question 25

Essay

Let $z = x ^ { 2 } y + x y ^ { 2 }$ and $x = 2 u + v$ , and $y = u - 3 v$ . Show that $\frac { \delta ^ { 2 } z } { \delta u \delta v } = - 16 x - 6 y$ .

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Definitions:

Lifestyle Factors

Elements or habits of an individual's way of living that can influence their overall health and risk of diseases.

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A long-standing disease where the pancreas fails to produce sufficient insulin, a crucial hormone for facilitating the entry of sugar (glucose) into cells for energy generation.

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Long-term medical conditions that are generally progressive and may be controlled but not cured.

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