Let $\vec { F } ( x , y ) = \left( 9 x ^ { 2 } - 3 y ^ { 2 } \right) \vec { i } - 6 x y \vec { j }$

question 50

Short Answer

Let $\vec { F } ( x , y ) = \left( 9 x ^ { 2 } - 3 y ^ { 2 } \right) \vec { i } - 6 x y \vec { j }$ Evaluate the line integral $\int _ { C } \vec { F } \cdot d \vec { r }$ where C the path from (0, 0)to (1, 1)that goes along the x-axis to (1, 0), and then vertically up to (1, 1).

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Definitions:

Equilibrium Potential

This term refers to the electrical potential difference that precisely balances an ionic concentration gradient across a membrane, resulting in no net ion flow.

Hyperpolarization

An increase in a cell's membrane potential, making it more negative inside compared to the outside and further from the threshold that causes action potentials.

Absolute Refractory Period

A period immediately following the stimulation during which a nerve or muscle is unresponsive to further stimulation.

Second Messenger System

A method of cellular signaling where the signal from a first messenger is transferred to a secondary molecule inside the cell to elicit a physiological change.