General: Drug Interception Suppose that the cost of a border patrol that intercepts x pe...

General: Drug Interception Suppose that the cost of a border patrol that intercepts x percent of the illegal drugs crossing a state border is million dollars (for x < 100).

a. Graph this function on [0, 100] by [0, 100].

b. Observe that the curve is at first rather flat but then rises increasingly steeply as x nears 100. Predict what the graph of the derivative would look like.

c. Check your prediction by defining y₂ to be the derivative of y₁ (using NDERIV) and graphing both y₁ and y₂.