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(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
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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(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? Please write out your answers and submit all your work into the assignment slot in Q3.
Transcribed Image Text:(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? Please write out your answers and submit all your work into the assignment slot in Q3.
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