Use the best method available to find the volume of the region bounded by 1 2 x

# Use the best method available to find the volume of

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24.Use the best method available to find the volume of the region bounded by1,2xyeyxand the x-axis revolved about the (a) x-axis and (b) y-axis. a. WA 1, p. 13
26.Use the best method available to find the volume of the region bounded bysinyxand2yxrevolved about (a) a. WA 1, p. 14
2 2 .876726 .876726 2 0 0 .876726 .876726 4 2 2 0 0 .876726 .876726 5 3 0 0 1 1 sin( ) 2 1 sin ( ) 2sin( ) 1 2 sin( )cos( ) 2( cos( )) 5 3 2 2 10.05 V x dx x dx V x x dx x x dx x x x x x V x x x V b. 2 0876726 2 0 0876726 2 0 0876726 3 2 0 .876726 4 3 0 1 , sin( ) 2 1 (sin( ) ) 2 1 (sin( ) ) 2 sin( ) sin( ) 2 cos( ) sin( ) cos( ) 4 3 .4744 r x h x x V x x x dx V x x x dx V x x x x x dx x x V x x x x V c. .876726 2 0 .876726 3 0 .876726 4 0 2 ( )(sin( ) ) 2 ( sin( ) ) 2 sin( ) cos( ) 4 .3778 V x x x dx V x x x dx x V x x x V d. Section 5.4 WA 1, p. 15 3 2 5 2 0 .7687 1 0 0 .7687 0 .7687 1 1 0 0 0 .7687 2 1 2 0 2()( sin() 2 sin() 2 sin() 2 1sin 1 2 2 5 4 4 1 .6569 V y y ydy V yyy ydy y y ydy y y y y y V V
14. Compute the arc length exactly. 30. Set up the integral for the surface area of the surface of revolution, and approximate the integral with a numerical method. WA 1, p. 16
32. Set up the integral for the surface area of the surface of revolution, and approximate the integral with a numerical method. 36. Set up the integral for the surface area of the surface of revolution, and approximate the integral with a numerical method.
WA 1, p. 18