Consider the Change of Variables X = S + 4t $\left| \frac { \partial ( x , y ) } { \partial ( s , t ) } \right|$

question 18

Short Answer

Consider the change of variables x = s + 4t, y = s - 5t.
Find the absolute value of the Jacobian $\left| \frac { \partial ( x , y ) } { \partial ( s , t ) } \right|$ .

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Definitions:

Primary Acute Histoplasmosis

An initial infection caused by inhaling the spores of the fungus Histoplasma capsulatum, often resulting in respiratory symptoms.

Histoplasmosis

A fungal infection caused by inhaling spores of the fungus Histoplasma capsulatum, often found in bird and bat droppings.

Severe Cold

An intensified version of the common cold, marked by more extreme symptoms such as high fever, severe headache, and significant congestion that may require medical attention.

Upper Respiratory Infection

An infection that occurs in the upper part of the respiratory tract, such as the nose, throat, and bronchi.