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x³ dx (a) Identify the plane region that is revolved. O plane region bounded by y = x, y = 16, O plane region bounded by x = y?, O plane region bounded by y = x, O plane region bounded by y = x², O plane region bounded by y = x, y = 16, y = 0, x = 0, y = 0, y = 4 y = 0, x = 0, X = 4 y = 0, x = 0, x = 4 y = 0, plane region bounded by y = x/2, y = 0, x = 0, X = 4 (b) Identify the axis of revolution. O revolved about the x-axis O revolved around the line x = 16 O revolved about the y-axis O revolved around the line x = 4 O revolved around the line y = 4 O revolved around the line y - 16

x³ dx (a) Identify the plane region that is revolved. O plane region bounded by y = x, y = 16, O plane region bounded by x = y?, O plane region bounded by y = x, O plane region bounded by y = x², O plane region bounded by y = x, y = 16, y = 0, x = 0, y = 0, y = 4 y = 0, x = 0, X = 4 y = 0, x = 0, x = 4 y = 0, plane region bounded by y = x/2, y = 0, x = 0, X = 4 (b) Identify the axis of revolution. O revolved about the x-axis O revolved around the line x = 16 O revolved about the y-axis O revolved around the line x = 4 O revolved around the line y = 4 O revolved around the line y - 16

Elementary Geometry For College Students, 7e
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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The integral represents the volume of a solid of revolution. 4 dx (a) Identify the plane region that is revolved. O plane region bounded by y = x, y = 16, O plane region bounded by x = y?, O plane region bounded by y = x, y = 0, O plane region bounded by y = x?, y = 0, O plane region bounded by y = x, y = 16, O plane region bounded by y = x/2, y = 0, x = 0 x = 0, y = 0, y = 4 x = 0, X = 4 x = 0, X = 4 y = 0, x = 0 y = 0, x = 0, X = 4 (b) Identify the axis of revolution. O revolved about the x-axis O revolved around the line x = 16 O revolved about the y-axis O revolved around the line x = 4 O revolved around the line y = 4 O revolved around the line y = 16
Transcribed Image Text:The integral represents the volume of a solid of revolution. 4 dx (a) Identify the plane region that is revolved. O plane region bounded by y = x, y = 16, O plane region bounded by x = y?, O plane region bounded by y = x, y = 0, O plane region bounded by y = x?, y = 0, O plane region bounded by y = x, y = 16, O plane region bounded by y = x/2, y = 0, x = 0 x = 0, y = 0, y = 4 x = 0, X = 4 x = 0, X = 4 y = 0, x = 0 y = 0, x = 0, X = 4 (b) Identify the axis of revolution. O revolved about the x-axis O revolved around the line x = 16 O revolved about the y-axis O revolved around the line x = 4 O revolved around the line y = 4 O revolved around the line y = 16
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