Let $\vec { F } = \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { i } + \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { j }$

question 52

Essay

Let $\vec { F } = \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { i } + \sqrt { x ^ { 2 } + y ^ { 2 } } \vec { j }$ For a fixed $\theta$ , let C _$\theta$ be the line segment from (0, 0)to the point (cos $\theta$ , sin $\theta$ )on the unit circle.
Find a parameterization of C _$\theta$ and compute $\int_{C_{0}} \vec{F} \cdot d \vec{r}$ .(Your answer will depend on $\theta$ .)

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Definitions:

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The ethical belief that there are universal moral truths that apply to all people, regardless of context or circumstance.

Nietzsche

Friedrich Nietzsche, a German philosopher known for his critiques of traditional European morality and religion, as well as his concept of the Übermensch and the Will to Power.

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