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Multivariable Calculus

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Moderate

Property of Change of Variable I

MVCALC-5XFEGJ

When we perform change of variables from $(x,y)$ to $(u,v)$ with the transformation $T$, which of the following statements about the are true:

I. $T$ has to be one-to-one
II. The Jacobian of $T$ can be negative
III. $T$ is always linear

A

$I, II, III$

B

Only $I, II$

C

Only $I, III$

D

Only $II$

E

Only $I$