Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 2x = y², x = 0, y = 5; about the y-axis V = Sketch the region. y 6 6 8 10 12 2 1 O 0.5 1.0 1.5 2.0 2.5 3.0 O 0.5 1.0 1.5 2.0 O 4 3 2 4 6 8 10 12

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 given solid. Under the surface z = 1 + x2y2 and above the region enclosed by x = y2 and x = 4.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8x, y = 8x, x > 0; about the x-axis %3D %3D Step 1 Rotating a vertical strip between y = 8x and y = 8x around the x-axis creates %3D ---Select- disk Sketch the region. washer y y 8 8 4 4 -0.5 0.5 1.0 1.5 -0.5 0.5 1.0 1.5 - y y 8. 8 6 2. 2.