Semester 2 Unit 1 – 1-1 WKST Name:
Area Between Curves.
A Graphing Calculator is required for these problems.
1. [2006 AB – Calculator OK] Let R be the shaded region bounded by the graph of and the line , as shown above. Find the area of R.
2. [2005 AB – Calculator OK] Let f and g be the functions given by and . Let R be the shaded region in the first quadrant enclosed by the y-axis and the graphs of f and g , and let S be the shaded region in the first quadrant enclosed by the graphs of f and g, as shown in the figure above.
(a) Find the area of R.
(b) Find the area of S.
3. [2004 AB – Calculator OK]
Let f and g be the functions given by and . The graphs of f and g are shown in the figure above. Find the area of the shaded region enclosed by the graphs of f and g .
4. [2002 AB – Calculator OK] Let f and g be the functions given by and .
(a) Find the area of the region enclosed by the graphs of f and g between and .
(b) Let h be the function given by . Find the absolute minimum value of on the closed interval , and find the absolute maximum value of on the closed interval . Show the analysis that leads to your answers.
5. [2001 AB – Calculator OK] Let R and S be the regions in the first quadrant shown in the figure above. The region R is bounded by the x-axis and the graphs of and . The region S is bounded by the y-axis and the graphs of and .
(a) Find the area of R.
(b) Find the area of S.