Question: 1. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx? + 9 over the interval [0,3]

1. Sketch the solid obtained by rotating the region underneath the graph

1. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx? + 9 over the interval [0,3] about the y-axis and find its volume. 2. Sketch the solid obtained by rotating the region underneath the graph of the funetion y = x3 - 2 over the interval 8 < x < 27 about the x-axis and find its volume. 3. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region under the graph of f (x) = x i over [1,4] about x -3. %3D

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