7. Consider the region above the x-axis and below y = e-ª with x > 1, shown below. 1 4 Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating this region about the x-axis. (a) Make a rough sketch of this hat. (b) Does this hat have finite volume? Justify your answer with calculations.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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7. Consider the region above the x-axis and below y = e-ª with x > 1, shown below.
1
4
Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating
this region about the x-axis.
(a) Make a rough sketch of this hat.
(b) Does this hat have finite volume? Justify your answer with calculations.
Transcribed Image Text:7. Consider the region above the x-axis and below y = e-ª with x > 1, shown below. 1 4 Consider a wizard hat (infinitely tall) obtained by the solid of revolution obtained by rotating this region about the x-axis. (a) Make a rough sketch of this hat. (b) Does this hat have finite volume? Justify your answer with calculations.
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