As the tank fills, the area under the rate curve gives the water added.

We stack cross sections on the region to build the solid.

We rearrange the equation and graph how the amount grows faster as time passes.

Flow between cells cancels, so adding their flows gives net flow through the outer surface.

We graph the cart’s position over time, so the slope shows its velocity.

We unroll the cylinder’s wall into a rectangle to find its area.

As both bounds approach one value, the function between them approaches that value too.

We stack disks, with smaller disks inside larger ones, to compare the solids’ volumes.