What is the area of the region bounded by y2 =x-2 and y=x-4. Use a vertical element. A A=2 2 S²³√x-2 dx + 2 BA= ⒸA= B .6 S*® √x−2 dx + x−2 dx + £*²(√x−2 − x − 4) dx L²(√x-2-x-4) 3 3 S DA= 2 Ⓒ 3 2³² √x-2 dx + Find the volume generated by revolving about the y-axis the area bounded by y² = x-2, y=x-4. Use shell method. • 1² (√x - 2 = x + 4) dx 3 V= 2x √x−2 dx + √² (√x−2 − x + 4)dx 3 ² S²³y (y-y²+2) dy -1 V= 2x -√² (√x-2-x-4) dx = S²₁ (2-y) (y-y²+6) dy DV= 2x + 27 S² (2- -1 V= 2x 2x²y (y-y²+6) dy -1 (2-y) (y-y²+2) dy - y²+2) dy

What is the area of the region bounded by y2 =x-2 and y=x-4. Use a vertical element. A A=2 2 S²³√x-2 dx + 2 BA= ⒸA= B .6 S® √x−2 dx + x−2 dx + £²(√x−2 − x − 4) dx L²(√x-2-x-4) 3 3 S DA= 2 Ⓒ 3 2³² √x-2 dx + Find the volume generated by revolving about the y-axis the area bounded by y² = x-2, y=x-4. Use shell method. • 1² (√x - 2 = x + 4) dx 3 V= 2x √x−2 dx + √² (√x−2 − x + 4)dx 3 ² S²³y (y-y²+2) dy -1 V= 2x -√² (√x-2-x-4) dx = S²₁ (2-y) (y-y²+6) dy DV= 2x + 27 S² (2- -1 V= 2x 2x²y (y-y²+6) dy -1 (2-y) (y-y²+2) dy - y²+2) dy

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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