2. Let R be the region bounded by the curve y = e x/2, the y-axis and the line y = e. 1)Sketch the region R. Include points of intersection. 2) Find the area of R. NO CALCULATOR

3. Let T be the region bounded by x = y 2 – 4y + 4, and x = y – 2. Determine the area of region T. NO CALCULATOR

4. Find the area enclosed by the graphs of f and g below. CALCULATOR Active

5. Use geometry to write a formula for the area of the shape 1) square with diagonal length d. 2) equilateral triangle with side length s. 3) semi-circle with diameter d. 4) rectangle with length to width ratio 4:5, given width = w 5) isosceles right triangles with hypotenuse h.

6. In the figure, R is the shaded region in the first quadrant bounded by the graph of y=4ln(3 - x), the horizontal line y = 6, and the vertical line x = 2. 1.The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a semi-circle. Determine the volume of the solid.

7. Let T be the region bounded by the graphs of y = ln(x) and y = x – 2 Determine the volume of a solid whose base is T and whose cross-sections perpendicular to the y- axis are isosceles right triangles whose leg is in T. Calculator Active

8. Region R is bounded by. Cross-sections perpendicular to the x- axis are … 1.isosceles right triangles with the hypotenuse in R. Determine the volume of the solid. 2.equilateral triangles with the altitude in R. Determine the volume of the solid. 3.Rectangle whose height is 4 times the length of its base in the region R. Find the volume of this solid.