Find the volume of the solid obtained by rotating the region under the graph of the...

 

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Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = 6. 2 about the x-axis over the interval [1,3]. x+1 Sketch the region and find the volume of the solid obtained by rotating the region bounded by the curves x = 2,/y, x = 0, and y = 9 about the y-axis. 7. 8. Find the volume of the solid obtained by rotating the region under the graph of f (x) 9. x2 for 0 < x < 3 about the vertical axis x = -2. Sketch the region enclosed by the functions f (x) = x² + 2 and g(x) volume obtained by rotating the region about the horizontal line y = -3. 9. = 4 – x2. Find the 10. Compute the volume of the solid obtained by rotating the region bounded by y = 6e-2x and y = 6+ 4x – 2x² between x = 0 and x = 1 about the line y = -2. Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = 6. 2 about the x-axis over the interval [1,3]. x+1 Sketch the region and find the volume of the solid obtained by rotating the region bounded by the curves x = 2,/y, x = 0, and y = 9 about the y-axis. 7. 8. Find the volume of the solid obtained by rotating the region under the graph of f (x) 9. x2 for 0 < x < 3 about the vertical axis x = -2. Sketch the region enclosed by the functions f (x) = x² + 2 and g(x) volume obtained by rotating the region about the horizontal line y = -3. 9. = 4 – x2. Find the 10. Compute the volume of the solid obtained by rotating the region bounded by y = 6e-2x and y = 6+ 4x – 2x² between x = 0 and x = 1 about the line y = -2.