(Technology Permitted) Let R be the region bounded by y=In(x), y=0, x= e². a. Write but do not evaluate an integral expression for the area of region R. b. What is the volume of the solid generated when R is rotated around the y axis? c. Cross sections taken perpendicular to the y-axis are semicircles with diameter in region R. What is the volume of the solid?
(Technology Permitted) Let R be the region bounded by y=In(x), y=0, x= e². a. Write but do not evaluate an integral expression for the area of region R. b. What is the volume of the solid generated when R is rotated around the y axis? c. Cross sections taken perpendicular to the y-axis are semicircles with diameter in region R. What is the volume of the solid?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.8: Volumes Of Pyramids And Cones
Problem 13E
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