3. The base of a solid is a region bounded by the lines y = 2x−2 and y=−x+4 and the x- axis. If cross-sections of the solid perpendicular to the x-axis are semicircles, what is the volume of the solid?

Q: 4. Sketch the graphs of y = 4 + (x)½, x = 9 and y = 4. Shade the region bounded by the curves. Find…

A: To calculate the volume of the solid that is formed by revolving the below region about the x-axis…

Q: Q6. Calculate the volume of the solid obtained by rotating the region bounded by y = x ² – 4x + 5, x…

A: To calculate the volume of solid obtained by rotating the region bounded by the following curves:…

Q: 3. Find the volume of solid of revolution (in cubic units) when the area of the region bounded by y…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 9x², x = 1, x = 5 and y…

A: If y is given as a function of x, say y = f(x); the volume of the solid obtained by rotating the…

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y = 1. The cross-sections…

A: The bounds of the region are y=0 and y=1 And the area of cross section, x=17y2 That is, Ay=17y2

Q: 2. Sketch the graph and shade the region enclosed by the curves y = x² and x axis from x=0 x=2. Find…

A: Given region enclosed by - y = x2 x =0 x =2

Q: The region bounded by f(x) = -4x² + 32x + 36, x = 0, and y = 0 is rotated about the y-axis. Find the…

A: fx=-4x2+32x+36, x=0 and y=0. We have to find the volume of solid revolution.

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 ofa solid is bounded by the parabola y = 1 – x² and the x-axis. Find the volume of the…

A:

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: 4. Determine the volume of the solid obtained by rotating the region bounded by y = x² - 4x + 5, x…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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

A:

Q: To create an object to display at the Art Museum of Philadelphia, Hao creates a solid of revolution…

A: If y is given as a function of x, then the volume of solid obtained by rotating the portion of the…