Consider the function f(x)=x√8−x3. The following diagram shows part of the graph of f.
The curve y=f(x) has an x-intercept at a>0.
Find the value of a.
The region enclosed between the curve y=f(x) and the coordinate axes in shaded in the diagram above.
Find the volume of the solid produced when the shaded region is revolved 2π about the x-axis.
Consider the function f(x)=x√8−x3. The following diagram shows part of the graph of f.
The curve y=f(x) has an x-intercept at a>0.
Find the value of a.
The region enclosed between the curve y=f(x) and the coordinate axes in shaded in the diagram above.
Find the volume of the solid produced when the shaded region is revolved 2π about the x-axis.