0 X MC Home - montgomerycollege.edu x VA Section 6.2 Exercises' Fall 2021 - | X *Course Hero X G Use the Trapezoidal Rule, the Mic X + C webassign.net/web/Student/Assignment-Responses/last?dep=27961915 Z Apps MC MyMC Login (80) YouTube History t Evaluate the defini... M Gmail YouTube Translate Cengage Single Sig.. |Home - Credo Refe... Health Coverage Af... Google Docs > Reading list EXAMPLE 4 The region R enclosed by the curves y = 2x and y = x2 is rotated about the x-axis. Find the volume of the resulting solid. SOLUTION The curves y = 2x and y = x intersect at the points (0, and (2, . The region between them, the solid of rotation, y = 2x and a cross section perpendicular to the x-axis are shown in the figures. A cross-section in the plane Px has the shape of a washer (an annular ring) with inner radius and an outer radius , so we find the cross-sectional area by subtracting the area of the inner circle from the area of the outer circle: A(x) = 41x2 - 1(x2)2 = y =x2 Therefore, we have v = (" A(x) Ox = (" *( 4x 2 - * ) dx A(X) 2 x