Use a Computer Algebra System to Evaluate $\iint_{s} x^{2}-4 x y d S$

question 80

Multiple Choice

Use a computer algebra system to evaluate $\iint_{s} x^{2}-4 x y d S$ where $S$ is $z=4-x^{2}-y^{2}$ , $0 \leq x \leq 2,0 \leq y \leq 2$ . Round your answer to two decimal places.

• A) \(- 475.02\)
• B) \(- 496.00\)
• C) \(- 203.00\)
• D) \(- 971.38\)
• E) \(- 43.75\)

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Definitions:

Proximate Causes

Immediate, underlying factors that explain how biological traits and behaviors occur, focusing on the "how" rather than the "why."

Ultimate Causes

Ultimate causes refer to the evolutionary reasons behind certain behaviors or traits, explaining why they have developed over time.

Mechanisms

The underlying processes or structures through which something operates or is achieved.

Organism's Life

The biological existence or lifespan of an organism, encompassing processes from birth through growth, reproduction, and eventually death.