26. Use the shell method to find volume of the solid obtained by rotating the region bounded by y = In.x and the x – axis from x = 1 to x = e about the y – axis using the shell method. (e × 2.7) (a) Shade the region described above. (b) Sketch a cylindrical shell. (c) Set up the integral needed. (d) Evaluate the integral by hand.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please DRAW and upload a sketch of the graph. Including a sketch of the cylinder that is being rotated. Please make sure to clearly label the radius and the height of the integral on your sketch. Please make notes where appropriate. Please PLEASE double check your work. 

26. Use the shell method to find volume of the solid obtained by rotating the region bounded by y = Inx and
the x –
axis from x
1 to x = e about the y – axis using the shell method. (e z 2.7)
(a) Shade the region described above.
(b) Sketch a cylindrical shell.
(c) Set up the integral needed.
(d) Evaluate the integral by hand.
Transcribed Image Text:26. Use the shell method to find volume of the solid obtained by rotating the region bounded by y = Inx and the x – axis from x 1 to x = e about the y – axis using the shell method. (e z 2.7) (a) Shade the region described above. (b) Sketch a cylindrical shell. (c) Set up the integral needed. (d) Evaluate the integral by hand.
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