Tutorial Exercise Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 16 – x² y = 0 Step 1 Because the axis of revolution is vertical, use a Select- v representative rectangle as shown in the figure. -2 The width Ax indicates that x is the variable of integration. The distance from the center of the rectangle to the axis of revolution is p(x) = x, and the height of the rectangle is h(x) = 16 -
Tutorial Exercise Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 16 – x² y = 0 Step 1 Because the axis of revolution is vertical, use a Select- v representative rectangle as shown in the figure. -2 The width Ax indicates that x is the variable of integration. The distance from the center of the rectangle to the axis of revolution is p(x) = x, and the height of the rectangle is h(x) = 16 -
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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