Problem

$\left(1.\right)2$ *...
$\left(11\right)$ Prove that $0\left(x_{1,x_{2}}$ $\dfrac {n^{\right)}} {x_{n}\right)}$ $\dfrac {y\left(x_{1.x_{2}}} {δ\left(y_{1.y2}}$ $\dfrac {x_{n}\right)} {y_{n}\right)}$ = 1.
22 If $y=x^{2}+y^{2}+x^{2},y=x+y+2.m=xy+yz+2x$
show that the Jacobian $\dfrac {d\left(n,v,y\right)} {0\left(x,y.z\right)}$ vanishes identically. Also finG
between van
$36$ $1$ $a=\left(x+y\right)/\left(1-x\right)\right)$ $4nd$ $y=1an^{-1}x+tan$ y, find $\dfrac {\left(y,y\right)} {0\left(x,y\right)}$
$△re$ u and v functionallyrelated $24sQ$ so find the relationship.
If the functions $14y$ w of three independent variables x, y, z are not
prove that the Jacobian of u, v, w with respect to x, y, z vanishes.
25 Show that the functions $=3x+2y-2,y=x-2y+2$ $4nd$ w x
not independent and find the relation between them.
26. Show that the functions

Calculus

Solution

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