********** **************** ****** .. Find the volume of the solid generated by revolving the specified region about the given line. R about x = 0 y =x^6 1- y =x y 0.5- R 0.5

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: Determine which graph corresponds to the area enclosed by the curves y = 5x² and y = x² + 3. O 9 8 7…

A: Given functions , y = 5x2 y = x2 + 3 To be found : Area enclosed by the two curves.

Q: 1. Graph and shade the region enclosed by the curves x=(y-2) and y= x . Find the volume of the solid…

A:

Q: The base of a three-dimensional figure is bound by the line x = -y2-2y +3 on the interval [0, 1].…

A: Option(4) is true

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: Evaluate. where G is a solid that lies in the first octant bounded by x^2 + y^2 = 3z and z = 3.

A:

Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: