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In Problems 11-15, let R be the region bounded by the lines y=4-x, x= -2, and the x-axis. Each problem will describe the cross sections of a solid. Find the volume of that solid (you do evaluate these problems). 11) The cross sections are squares perpendicular to the x-axis with one edge in R. 12) The cross sections are semicircles perpendicular to the y-axis with the diameter in R. 13) The cross sections are equilateral triangles perpendicular to the x-axis with one edge in R.

In Problems 11-15, let R be the region bounded by the lines y=4-x, x= -2, and the x-axis. Each problem will describe the cross sections of a solid. Find the volume of that solid (you do evaluate these problems). 11) The cross sections are squares perpendicular to the x-axis with one edge in R. 12) The cross sections are semicircles perpendicular to the y-axis with the diameter in R. 13) The cross sections are equilateral triangles perpendicular to the x-axis with one edge in R.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer the first 3 questions and if possible all 5

In Problems 11-15, let R be the region bounded by the lines y = 4-x, x = -2, and the x-axis. Each problem will describe the cross sections of a solid. Find the volume of that solid (you do evaluate these problems). 11) The cross sections are squares perpendicular to the x-axis with one edge in R. 12) The cross sections are semicircles perpendicular to the y-axis with the diameter in R. 13) The cross sections are equilateral triangles perpendicular to the x-axis with one edge in R. 14) The cross sections are squares perpendicular to the y-axis with the diagonal in R. 15) The cross sections are circles perpendicular to the x-axis with the diameter in R.
Transcribed Image Text:In Problems 11-15, let R be the region bounded by the lines y = 4-x, x = -2, and the x-axis. Each problem will describe the cross sections of a solid. Find the volume of that solid (you do evaluate these problems). 11) The cross sections are squares perpendicular to the x-axis with one edge in R. 12) The cross sections are semicircles perpendicular to the y-axis with the diameter in R. 13) The cross sections are equilateral triangles perpendicular to the x-axis with one edge in R. 14) The cross sections are squares perpendicular to the y-axis with the diagonal in R. 15) The cross sections are circles perpendicular to the x-axis with the diameter in R.
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