1. The region bounded by the curves y =7x and y=x² is rotated about the x-axis. USE THE METHOD OF WASHERS to find the volume of the resulting solid.

Advanced Engineering Mathematics
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1. The region bounded by the curves y = 7x and y =x is rotated about the x-axis. USE THE
METHOD OF WASHERS to find the volume of the resulting solid.
Transcribed Image Text:1. The region bounded by the curves y = 7x and y =x is rotated about the x-axis. USE THE METHOD OF WASHERS to find the volume of the resulting solid.
Expert Solution
Step 1

Two given curves are 

y=7x  (i)y=x2  (ii)

The region bounded by these two curves is R and R is rotated about the x-axis.

To find volume of solid generated by revolving R around x-axis.

To find the point of intersection, 

x2=7xx2-7x=0xx-7=0x=0,7

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