2) For this section, the main idea is to set up the volume of a slice/cross-section as a cylinder whose volume can be calculated by the formula (area of cross-section)*(thickness). Thickness can be expressed as dx or dy depending on the orientation of the solid. The key step is to set up the area of the cross-section. Here are the remaining requested sub parts [ d , e , f ] 2) Region R, that is bounded by the graph Y = 2 + Væx=1 and y=2, is revolved about the line x=1 to form a solid ofrevolution. Answer the following questions:ermine the direction/SectoICkness.d) What is the general formula for the area of the cross-section?e) What is the expression of the area of the cross-sectionin terms of x and/or y?f) Set up the integral to calculate the volume of the solid.(Do not need to evaluate the integral)

To find the volume of a solid revolved about a particular line using cross-sections, first, we will…

2) Region R, that is bounded by the graph Y =2+ vx x=1 and y=2, is revolved about the line x=1 to form a solid of revolution. Answer the following questions: ermine the direction/ Sect ICkness. d) What is the general formula for the area of the cross- section? e) What is the expression of the area of the cross-section in terms of x and/or y? f) Set up the integral to calculate the volume of the solid. (Do not need to evaluate the integral)

2) Region R, that is bounded by the graph Y =2+ vx x=1 and y=2, is revolved about the line x=1 to form a solid of revolution. Answer the following questions: ermine the direction/ Sect ICkness. d) What is the general formula for the area of the cross- section? e) What is the expression of the area of the cross-section in terms of x and/or y? f) Set up the integral to calculate the volume of the solid. (Do not need to evaluate the integral)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter84: Binary Numeration System

Section: Chapter Questions

Problem 5A

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