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1. Find the volume of the region between x = -y^2 + 4 and x =...

1. Find the volume of the region between x = -y^2 + 4 and x = 4 - 2y rotated about the x-axis.
(a) Create the graph for this problem
(b) What is the volume of one 'cylinder'?
(c) What is the integral for the volume?
(d) What is the volume in exact form?

2. Find the volume of the region between y^2 - 1 = x and 7 - y^2 = x rotated about the line y = 3.
(a) Create the graph for this problem
(b) What is the volume of one 'cylinder'?
(c) What is the integral for the volume?
(d) What is the volume in exact form?

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