1a.) If a region R in the first quadrant is revolved about the x-axis, then to find the volume of the solid, the slicing (i.e. the disk or washer method) ...requires integrating with respect to y.requires integrating with respect to x.cannot be applied. 1b.) If a region R in the first quadrant is revolved about the y-axis, then to find the volume of the solid, the slicing method (i.e. the disk or washer method) ...requires integrating with respect to x. cannot be applied.requires integrating with respect to y. 1c.) If a region R in the first quadrant is revolved about the x-axis, then to find the volume of the solid, the shells method...cannot be applied. No answer text provided.requires integrating with respect to x.requires integrating with respect to y.1d.) If a region R in the first quadrant is revolved about the y-axis, then to find the volume of the solid, the shells method...requires integrating with respect to y. requires integrating with respect to x.cannot be applied.

We will solve these using the results,

Answered: .) If a region R in the first quadrant…

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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1a.) If a region R in the first quadrant is revolved about the x-axis, then to find the volume of the solid, the slicing (i.e. the disk or washer method) ...

requires integrating with respect to y.
requires integrating with respect to x.
cannot be applied.

1b.) If a region R in the first quadrant is revolved about the y-axis, then to find the volume of the solid, the slicing method (i.e. the disk or washer method) ...