3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the region bounded by y = vx + 2, y = x, and the x-axis is revolved about the line y = -2.

Q: Find the volume of the region bounded by √x and y=x rotated about x = -4.

A:

Q: Revolve the region between y=x-x4 and y=0 about the y-axis. Find area

A: The given region is between y=x-x4 and y=0 and it is revolved around y- axis.

Q: 3) Find the volume of the first quadrant region bounded by y = x² , the y-axis and y = 4 rotated…

A: Please refer the attached image for complete solution.

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: 2. Find the volume if the area bounded by the curve y = x³ +1, the x-axis and the limits of x=0 and…

A: Given curve is y=x3+1, the x-axis and the limits are x=0 and x=3. The objective is to find the…

Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

A:

Q: Q. Find the area bounded by y =2-|x|,y=x´ and y =x, sketch the region and if this region is revolved…

A: