Find the Area of the Region Bounded by the Curve $x = 4 \cos t , y = 3 \sin t , 0 \leq t \leq \pi$

question 42

Multiple Choice

Find the area of the region bounded by the curve $x = 4 \cos t , y = 3 \sin t , 0 \leq t \leq \pi$ , and the x-axis.

• A) \(\pi\)
• B) \(6 \pi ^ { 2 }\)
• C) \(3 \pi\)
• D) \(6 \pi\)
• E) \(\pi ^ { 2 }\)
• F) \(12 \pi ^ { 2 }\)
• G) \(3 \pi ^ { 2 }\)
• H) \(12 \pi\)

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Definitions:

Testes

The male reproductive glands that produce sperm and testosterone, located in the scrotum.

Spermatozoa

The male reproductive cells or sperm cells that are responsible for fertilizing an ovum.

Reproductive Systems

The organ systems in organisms that work together for the purpose of reproduction.

Excretory Duct

A tube-like structure through which waste products are expelled from a gland or organ.