Use Stokes' Theorem to Evaluate Where F(x, Y, Z) $\sigma$

question 144

Multiple Choice

Use Stokes' Theorem to evaluate where F(x, y, z) = 5x j and $\sigma$ is that portion of the ellipsoid 4x² + 4y² + z² = 8 for which z $\ge$ 0.

• A) 5
• B) 0
• C) 12

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Definitions:

Population Genetics

The study of genetic variability in a population and of the forces that act on it.

Theory of Evolution

A scientific explanation for the diversity of life on Earth, proposing that species change over time through natural selection and genetic variation.

Acquired Traits

Characteristics or changes that are gained after birth due to environmental influences or personal actions, not determined by genes and therefore not inheritable.

Darwinian Evolution

The theory of biological evolution by natural selection proposed by Charles Darwin and Alfred Russel Wallace, emphasizing survival and reproduction of the fittest.