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4. Set-up and evaluate the definite integral that represents the area of the surface generated by revolving y _'n(y) lsys2 about the x-axis.

4. Set-up and evaluate the definite integral that represents the area of the surface generated by revolving y _'n(y) lsys2 about the x-axis.

Elementary Geometry For College Students, 7e
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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Is it possible to do #4? The GSA said it’s not but I just want to make sure.
1. Find the area bounded by the curves x= y´ and X = 3y-2. J てメ)a4 2. Use the Disk/Washer Method to find the volume of the solid that results when the region bounded by y = y = 3x is rotated about the x-axis. Sx(42-4) dx 3. Use the Shell Method to find the volume of the solid that results when the region bounded by y= x and y = 3x is rotated about the x-axis. S2ex (42-ui)dx 4. Set-up and evaluate the definite integral that represents the area of the surface generated by revolving y? !n(y) X = 1sys2 about the x-axis. 4 5. Use integration by parts to evaluate the integrals. Sudu=uv-Judu (a) fe* cos(2x)dx nfe (c) f sec' (x)dx (b) Ssin¯'(x)dx 6. Evaluate the integrals.by finding u, du and make a u-substitution in terms of u, then find the final answ a) s 4+e2 dr et u= du= b) S -dt du= u= 7. Evaluate the definite integrals by finding u and du, then make a u-substitution in terms of u that incluc u-limits of integration.
Transcribed Image Text:1. Find the area bounded by the curves x= y´ and X = 3y-2. J てメ)a4 2. Use the Disk/Washer Method to find the volume of the solid that results when the region bounded by y = y = 3x is rotated about the x-axis. Sx(42-4) dx 3. Use the Shell Method to find the volume of the solid that results when the region bounded by y= x and y = 3x is rotated about the x-axis. S2ex (42-ui)dx 4. Set-up and evaluate the definite integral that represents the area of the surface generated by revolving y? !n(y) X = 1sys2 about the x-axis. 4 5. Use integration by parts to evaluate the integrals. Sudu=uv-Judu (a) fe* cos(2x)dx nfe (c) f sec' (x)dx (b) Ssin¯'(x)dx 6. Evaluate the integrals.by finding u, du and make a u-substitution in terms of u, then find the final answ a) s 4+e2 dr et u= du= b) S -dt du= u= 7. Evaluate the definite integrals by finding u and du, then make a u-substitution in terms of u that incluc u-limits of integration.
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