Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 3x2, y = 3x, x 2 0; about the x-axis V = Sketch the region. y y 3 2 2 1 1 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 -1 y y 3 3 2 2 1 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 -1 Sketch the solid, and a typical disk or washer. y y 3 3 2 2- 1 X X 1.5 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 -1 -1 -2 -2 -3 y y 3 3 2 2 1 1 X X -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 -1 -2 -3

Let R be the region bounded by the graph of y = 5√x + 3, the x-axis, the y-axis, and the line x = 4. Select the best method to find the volume of the solid of revolution generated by revolving R about the the line y = -4. Select the correct answer below: Washer Method about the x-axis Washer Method about the line y = -4 Disk Method about the x-axis Disk Method about the line y = −4 Content attribution Using the method of cylindrical shells, identify the volume of the solid of revolution obtained by rotating the region bounded by the graphs of y = 0.2√8x and y = 3.9e over the interval [3, 6] about the line x = -4. Select the correct answer below: Sº (3.9e-4)²-(0.2√8x-4)² dx O 2π (x+4) (3.9e² -0.2√8x) dx O 2π (x+4) (0.2√8x-3.9e*) dx FEEDBACK O T

Find the volume of the solid obtained by revolving the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y=x, y=sqrt(x); about x=2

Find the volume formed by revolving the region about the line x = 4. 1 2 3 y = 3 – x & y = -x² + 2x + 3