4. Let R be the region in the first quadrant bounded by the graphs of y = √x and y = 12. √x a. Find the area of R. √ 1 (√x - 2 Jdx = 1.8335 x= 4x = x b. Find the volume of the solid generated when R is rotated about the vertical line x = -2. efterle ₂4 x² - 4x=0 c. The region R is the base of a solid. For this solid, the cross sections perpendicular to the y-axis are semicircles. Find the volume of this solid. x=0 v = 4.

4. Let R be the region in the first quadrant bounded by the graphs of y = √x and y = 12. √x a. Find the area of R. √ 1 (√x - 2 Jdx = 1.8335 x= 4x = x b. Find the volume of the solid generated when R is rotated about the vertical line x = -2. efterle ₂4 x² - 4x=0 c. The region R is the base of a solid. For this solid, the cross sections perpendicular to the y-axis are semicircles. Find the volume of this solid. x=0 v = 4.

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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