Solve the Problem $y = \sqrt { 36 - x ^ { 2 } }$

question 358

Multiple Choice

Solve the problem.
-Find the length of the curve $y = \sqrt { 36 - x ^ { 2 } }$ between $x = 0$ and $x = 3$ .

• A) \(\frac { 1 } { 6 } \pi\)
• B) \(2 \pi\)
• C) \(\frac { 3 } { 2 } \pi\)
• D) \(\pi\)

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Definitions:

Factor Of Production

Resources utilized in the creation of goods and services, including land, labor, capital, and entrepreneurship.

Constant Returns To Scale

a condition in production where increasing the inputs by some proportion leads to an increase in output by the same proportion.

Physical Capital

Physical assets including facilities, tools, and machines utilized for manufacturing products and providing services.

Structures

The arrangement or organization of interconnected elements, which can pertain to physical buildings or systemic frameworks within a context.