The Temperature at the Point $( x , y ) \text { on a metal plate is modeled by }$

question 107

Multiple Choice

The temperature at the point $( x , y ) \text { on a metal plate is modeled by }$ $T ( x , y ) = 300 e ^ { - \left( x ^ { 2 } + y \right) / 2 } , x \geq 0 , y \geq 0$ . Find the directions of no change in heat on the plate from the point $( 5,7 )$ .

• A) There will be no change in directions perpendicular to the gradient \(\pm ( 15 \mathbf { i } - \mathbf { j } )\).
• B) There will be no change in directions parallel to the gradient \(\pm ( 10 \mathbf { i } - \mathbf { j } )\).
• C) There will be no change in directions parallel to the gradient \(\pm ( \mathbf { i } + 10 \mathbf { j } )\).
• D) There will be no change in directions perpendicular to the gradient \(\pm ( \mathbf { i } + 15 \mathbf { j } )\).
• E) There will be no change in directions perpendicular to the gradient \(\pm ( \mathbf { i } - 10 \mathbf { j } )\).

Understand the historical evolution of marriage and its relevance to societal norms.

Recognize the global diversity in the legalization and recognition of marriage types.

Analyze the main factors contributing to family structures and dynamics in contemporary societies.

Identify and understand different perspectives on gender inequality and its origins.

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Definitions:

Oculomotor

Relating to the third cranial nerve, which controls most of the eye's movements, including constriction of the pupil and maintaining an open eyelid.

Trigeminal

refers to the fifth cranial nerve responsible for sensation in the face and motor functions such as biting and chewing.

Optic

Relating to the eye or vision; often used in terms associated with the visual pathways and structures.

Sympathetic Division

The sympathetic division is a part of the autonomic nervous system that prepares the body for physical activity, increasing heart rate, blood pressure, and energy availability.