Double Integrals II
Part 3: Sites for the Balloon Booth
Imagine an xy-coordinate system established on the floor of the tent with the origin at the base of the center pole. The first site for the balloon booth is on and above the region bounded below by the line
and between the rays
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and
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Here is a sketch of the floor plan for this site.
- Find the volume above the shaded region and below the tent roof.
The second site is the region bounded on the left by the line x = 8, above and on the right the circle of radius 8 with center at (8,0), and below by the x-axis. Here is a sketch of the floor plan.
- Find the volume above this region and below the tent roof.
