p) Find the volume of the solid obtained by rotating the region bounded by the cures y = ex/², y = e-x/2, x = ln2 and x = ln3; about the x-axis.

Consider the region bounded by the graph of y = 9 — x² and the y axis, between 1 and y = 5 in the first quadrant. y = (a) On your solution sheet, sketch these functions and shade in the resulting region. Clearly indicate any boundary points or curves. (b) Write an integral to represent the area of the region. You do not need to evaluate the integral and find the area. (c) Find the volume of the solid obtained when this region is rotated around the vertical line x = 3. Enter the volume you find in the answer box below. Round your answer to two decimal places.

y=x3 , y=x. What is the volume when the curve is rotated about the x-axis. x<< 0

R is the region bounded by the functions f(x) = x + 2 and the x-axis and the lines x=2 and x=4. Represent the volume when R is rotated around the line x=4. S Use pi for "#" and sqrt(x) for "TI" Volume =