- A cube is contracting so that its surface area decreases at the constant rate of 72 in.^2 /sec.
Determine how fast the volume is changing at the instant when the surface area is 54 ft^2.
- A square is inscribed in a circle of radius a as shown in the diagram. Find the volume obtained
if the region outside the square but inside the circle is rotated about a diagonal of the square.
- (a) Sketch the region in the first quadrant bounded above by the line y = x + 4, below by the line
y = 4 − x, and to the right by the parabola y = x^2 + 2.
(b) Find the area of this region.
- The graph shown below is based roughly on data from the U.S. Department of Agriculture.
(a) During which intervals did food production decrease in South Asia?
(b) During which intervals did the rate of change of food production increase?
