Given the curve y = (sin x)² 1. Compute the area bounded @ x = 0 to x = 2π. a. π sq.units b. 2π sq.units c. π/4 sq.units d. 5 sq.units 2. Compute the centroid of the area bounded from x – axis. a. 3/8 b. 2/3 c. 4/5 d. 1/6 3. Compute the volume generated if it is rotated about the x – axis. a. 4.93 cu.units b. 3.56 cu.units c. 8.21 cu.units d. 7.40 cu.units

Given the curve y = (sin x)² 1. Compute the area bounded @ x = 0 to x = 2π. a. π sq.units b. 2π sq.units c. π/4 sq.units d. 5 sq.units 2. Compute the centroid of the area bounded from x – axis. a. 3/8 b. 2/3 c. 4/5 d. 1/6 3. Compute the volume generated if it is rotated about the x – axis. a. 4.93 cu.units b. 3.56 cu.units c. 8.21 cu.units d. 7.40 cu.units

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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Question

Given the curve y = (sin x)²

1. Compute the area bounded @ x = 0 to x = 2π.

a. π sq.units

b. 2π sq.units

c. π/4 sq.units

d. 5 sq.units

2. Compute the centroid of the area bounded from x – axis.

a. 3/8

b. 2/3

c. 4/5

d. 1/6

3. Compute the volume generated if it is rotated about the x – axis.

a. 4.93 cu.units

b. 3.56 cu.units

c. 8.21 cu.units

d. 7.40 cu.units

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