6. The region bounded by y=e*, y=0, x=0 and x = 1 is rotated about the y-axis. Sketch the resulting solid and use cylindrical shells to compute the volume. Include diagrams of the shape itself and a single cylindrical shell. Then draw a picture of the "cut and unrolled" shell and label the dimensions of the resulting rectangular slab. Write down an expression for din terms of x and dr before setting up and computing the final integral for the volume.

6. The region bounded by y=e*, y=0, x=0 and x = 1 is rotated about the y-axis. Sketch the resulting solid and use cylindrical shells to compute the volume. Include diagrams of the shape itself and a single cylindrical shell. Then draw a picture of the "cut and unrolled" shell and label the dimensions of the resulting rectangular slab. Write down an expression for din terms of x and dr before setting up and computing the final integral for the volume.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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