The integral represents the volume of a solid of revolution.21tx dx(a) Identify the plane region that is revolved.O plane region bounded by y = x-/2,y = 0,x = 0,x = 2Oplane region bounded by y = x°, y= 0,x = 0,X = 2O plane region bounded by y = x,y = 4,y = 0,x = 0O plane region bounded by y = x,y = 4,y = 0,x = 0)O plane region bounded by x = y", x = 0,y = 0,y = 2O plane region bounded by y = x², y= 0,x = 0,%23x = 2(b) Identify the axis of revolution.O revolved around the line y = 2O revolved around the line x = 2O revolved about the y-axisO revolved around the line x = 4%3DO revolved around the line y = 4O revolved about the x-axis

Answered: Image /qna-images/answer/95b0016a-1e4a-4cc1-a6e8-e9ce71aae17c.jpg

The integral represents the volume of a solid of revolution. 21t x dx (a) Identify the plane region that is revolved. O plane region bounded by y = x-2, y = 0, x = 0, x = 2 O plane region bounded by y = x, y = 0, x = 0, X = 2 O plane region bounded by Y = x', y = 4, y = 0, x = 0 O plane region bounded by y = x², y = 4, y = 0, x = (0 O plane region bounded by x = y², X = (0, y = 0, y = 2 plane region bounded by y = x-, y = 0, x = 0, X = 2 (b) Identify the axis of revolution. O revolved around the line y = 2 O revolved around the line x = 2 O revolved about the y-axis O revolved around the line x = 4 O revolved around the line y = 4 O revolved about the x-axis

The integral represents the volume of a solid of revolution. 21t x dx (a) Identify the plane region that is revolved. O plane region bounded by y = x-2, y = 0, x = 0, x = 2 O plane region bounded by y = x, y = 0, x = 0, X = 2 O plane region bounded by Y = x', y = 4, y = 0, x = 0 O plane region bounded by y = x², y = 4, y = 0, x = (0 O plane region bounded by x = y², X = (0, y = 0, y = 2 plane region bounded by y = x-, y = 0, x = 0, X = 2 (b) Identify the axis of revolution. O revolved around the line y = 2 O revolved around the line x = 2 O revolved about the y-axis O revolved around the line x = 4 O revolved around the line y = 4 O revolved about the x-axis

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

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