Which of the Following Gives the Area of the Circle $x^{2}+y^{2}=1$

question 95

Multiple Choice

Which of the following gives the area of the circle $x^{2}+y^{2}=1$ ?

• A) \(\int_{-1}^{1} \sqrt{1-x^{2}} d x\)
• B) \(4 \int_{-1}^{1} \sqrt{1-x^{2}} d x\)
• C) \(4 \int_{0}^{1} \sqrt{1-x^{2}} d x\)
• D) \(2 \int_{0}^{1} \sqrt{1-x^{2}} d x\)

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Definitions:

Market Proxy

A benchmark that represents the overall movement of the stock market.

Utility Functions

Representations of the satisfaction or pleasure consumers derive from consuming various goods or services.

S-Shaped

Describes a curve or function that depicts an initial slow growth, followed by rapid acceleration, and then a plateau or leveling off, commonly found in logistic growth models.

Convex

A shape or function that curves outward or has a bulge, often used in economics and mathematics to describe certain types of optimization problems or preferences.