The region R in the first quadrant is bounded by y = 8 sin(2), y = 8(x - 2)² and y = 5x + 3, and contains the point (2,8). The area of Ris: area The volume of the solid generated by rotating R about the z-axis is: volume = The volume of the solid generated by rotating R about the y-axis is: volume = The volume of the solid with R as its base and square cross-sections perpendicular to the z-axis (and to the zy-plane) is: volume ==

The region R in the first quadrant is bounded by y = 8 sin(2), y = 8(x - 2)² and y = 5x + 3, and contains the point (2,8). The area of Ris: area The volume of the solid generated by rotating R about the z-axis is: volume = The volume of the solid generated by rotating R about the y-axis is: volume = The volume of the solid with R as its base and square cross-sections perpendicular to the z-axis (and to the zy-plane) is: volume ==

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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