Question

A fancy notepad has edges that follow the graphs of and . The notepad is 12 inches long and 1 inch thick.

Explain how you could use cross sections or slices cut perpendicular to the x-axis to find the volume of this notepad.

Answer 1

A fancy notepad has edges that follow the graphs of \[y=\frac{ 1 }{ 2 }\sin(x)-2\] and \[y=2-\frac{ 1 }{ 2 }\sin(x)\]. The notepad is 12 inches long and 1 inch thick.

Explain how you could use cross sections or slices cut perpendicular to the x-axis to find the volume of this notepad.

Answer 2

@zepdrix

Answer 3

So our curves look something like this, yes?