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Let F=(2x2axz)i+(bx2+16)j+(x+cy)k\vec { F } = \left( - 2 x ^ { 2 } - a x z \right) \vec { i } + \left( b x ^ { 2 } + 16 \right) \vec { j } + ( x + c y ) \vec { k }

question 4

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Let F=(2x2axz)i+(bx2+16)j+(x+cy)k\vec { F } = \left( - 2 x ^ { 2 } - a x z \right) \vec { i } + \left( b x ^ { 2 } + 16 \right) \vec { j } + ( x + c y ) \vec { k } be a smooth vector field with curlF(1,4,4)=3i+3j+8k\operatorname { curl } \overrightarrow { \vec { F } } ( 1 , - 4,4 ) = - 3 \vec { i } + 3 \vec { j } + 8 \vec { k } Determine the values of a, b and c.

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Definitions:

Psychoneuroimmunology

The study of the connections among stress, the body’s immune system, and illness.

Immune System

A complex network of cells, tissues, and organs that work together to defend the body against attacks by foreign invaders, such as bacteria, viruses, parasites, and fungi.

Antigens

Molecules or substances that the immune system identifies as foreign, triggering an immune response.

Cancer Cells

Abnormal cells that divide uncontrollably and can invade nearby tissues or spread to other parts of the body through the blood and lymph systems.

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