Volumes of Solids by Cross-Section

Which expression represents the vertical distance between both curves anywhere within the shaded region?

[math]f\left(x\right)-g\left(x\right)[/math] [math]f\left(x\right)+g\left(x\right)[/math] [math]g\left(x\right)-f\left(x\right)[/math] [math]g\left(x\right)+f\left(x\right)[/math]

Which expression represents the area of any square within the shaded region whose base is perpendicular to the x-axis?

[math]\left(f\left(x\right)-g\left(x\right)\right)^2[/math] [math]\left(f\left(x\right)\right)^2-\left(g\left(x\right)\right)^2[/math] [math]\left(f\left(x\right)-g\left(x\right)\right)^3[/math] [math]f\left(x\right)-g\left(x\right)[/math]

Which expression represents the volume of a solid created by an infinite amount of squares whose bases are perpendicular to the x-axis?

[math]\int_{-1}^2\left(f\left(y\right)-g\left(y\right)\right)^2dy[/math] [math]\int_{-1}^2\left(f\left(x\right)-g\left(x\right)\right)^3dx[/math] [math]\int_{-1}^2\left(f\left(x\right)-g\left(x\right)\right)dx[/math] [math]\int_{-1}^2\left(\left(f\left(x\right)-g\left(x\right)\right)^2dx\right)[/math]

Which expression represents the radius of any circle within the shaded region whose diameter is perpendicular to the x-axis?

[math]\frac{1}{4}\left(f\left(x\right)-g\left(x\right)\right)[/math] [math]\frac{1}{2}\left(f\left(x\right)-g\left(x\right)\right)^{ }[/math] [math]\frac{1}{2}f\left(x\right)-g\left(x\right)[/math] [math]f\left(x\right)-g\left(x\right)[/math]

Which expression represents the area of any semicircle within the shaded region whose diameter is perpendicular to the x-axis?

[math]\frac{1}{8}\pi\left(f\left(x\right)-g\left(x\right)\right)^2[/math] [math]\frac{1}{2}\pi\left(f\left(x\right)\right)^2[/math] [math]\pi\left(f\left(x\right)-g\left(x\right)\right)^2[/math] [math]\frac{1}{4}\pi\left(g\left(x\right)-f\left(x\right)\right)^2[/math]

Which expression represents the volume of a solid create by an infinite amount of semicircles whose diameter is perpendicular to the x-axis?

[math]\frac{1}{2}\pi\int_{_{-1}}^2\left(f\left(x\right)-g\left(x\right)\right)^2dx[/math] [math]\frac{1}{4}\pi\int_{-1}^2\left(f\left(x\right)-g\left(x\right)\right)^2dx[/math] [math]\frac{1}{8}\pi\int_{-1}^2\left(f\left(x\right)-g\left(x\right)\right)^2dx[/math] [br][math]\pi\int_{-1}^2\left(f\left(x\right)-g\left(x\right)\right)^2dx[/math]

Volumes of Solids by Cross-Section

Which expression represents the volume of a solid create by an infinite amount of semicircles whose diameter is perpendicular to the x-axis?

Information: Volumes of Solids by Cross-Section