Set Up an Integral That Represents the Area of the Surface

question 5

Short Answer

Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. Then use your calculator to find the surface area correct to four decimal places. $x = 3 \sin t , \quad y = 3 \sin 2 t , \quad 0 \leq t \leq \pi / 2$

---

Definitions:

Residing Continuously

Living in the same place without interruption or change of location over a period of time.

Immigration Law

The body of law that governs immigration policies, including the entry, residence, employment, and rights of foreigners within a country.

Family Reunification

A policy or process that allows immigrants to bring their immediate family members to their country of residence.

Legal Immigrants

Individuals who have been granted the right to live permanently in a country, following the legal requirements of immigration laws.