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For the Vector Field Field Is Conservative F(x,y)\mathbf { F } ( x , y )

question 91

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For the vector field F(x,y) =Ax5y5i+5x6y4j, find the value of A for which the \mathbf { F } ( x , y ) = A x ^ { 5 } y ^ { 5 } \mathbf { i } + 5 x ^ { 6 } y ^ { 4 } \mathbf { j } \text {, find the value of } A \text { for which the } field is conservative.


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Autocratic Decisions

Decisions made unilaterally by an individual in power, without input or collaboration from others.

Utilitarianism

A philosophical theory focused on actions that maximize overall happiness or pleasure for the greatest number of people.

Deontology

An ethical theory emphasizing that the morality of an action should be based on whether the action itself is right or wrong under a series of rules, rather than based on the consequences of the action.

Feminist Ethics

An approach to ethics that prioritizes the experiences and interests of women and other marginalized genders, challenging traditional ethical frameworks that have historically overlooked them.

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