Two rectangular garden plots of equal area are to be laid out side by side and then surrounded and separated by a single thickness of wire fence as shown in the figure below. If the total length of fence to be used is 180 feet, find the maximum possible area of each of the gardens.

If the graph of is as shown in the sketch, then the second derivative of

If the graph of is as given in the first sketch below, then the graph of , the derivative of , looks most like

If is the area of the shaded region in the sketch, then

The function , whose graph is shown below, is continuous from to . The area of the region between the graph of and the -axis from to is 4. (This region is labeled I in the figure.) The area of the region between the graph of and the -axis from to is 10. (This region is labeled II in the figure.) The value of the definite integral is

For each value of for which , is the area of the shaded region in the sketch. What is equal to?

The equation of the parabola in the sketch below is . The area of the rectangle in the sketch is

is the correct answer to which integration problem?

If , then