$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$

question 23

Multiple Choice

$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$
- $f ( x , y , z ) = \sin ( x y ) \cos \left( y z ^ { 2 } \right)$

• A) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = x \cos ( x y ) \cos \left( y z ^ { 2 } \right) - z ^ { 2 } \sin ( x y ) \sin \left( y z ^ { 2 } \right) ; f _ { z } = - 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)
• B) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = x \cos ( x y ) \cos \left( y z ^ { 2 } \right) - z ^ { 2 } \sin ( x y ) \sin \left( y z ^ { 2 } \right) ; f _ { z } = 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)
• C) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = x \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { z } = - 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)
• D) \(f _ { x } = y \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { y } = z ^ { 2 } \sin ( x y ) \sin \left( y z ^ { 2 } \right) - x \cos ( x y ) \cos \left( y z ^ { 2 } \right) ; f _ { z } = 2 y z \sin ( x y ) \sin \left( y z ^ { 2 } \right)\)

Understand the key characteristics and differences of the U.S. economy in the 1920s and 1990s.

Recognize factors contributing to economic recessions and expansions in U.S. history.

Identify the impacts of technological progress on the U.S. economy.

Comprehend the role of government policies and reforms in shaping the economic landscape.

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Definitions:

Best Defence

The most effective legal argument or strategy used to achieve a favorable outcome in a legal case.

Innuendo

A statement or remark that indirectly suggests something derogatory, but does so without stating it directly.

False Rumour

An unfounded or untrue piece of information spread among people, which can potentially cause harm or misunderstanding without being based on facts.

Fair Comment

A legal defense in defamation cases, protecting statements made as opinion rather than fact, provided they are not malicious and are on a matter of public interest.