Question

cannot figure out how to write the integrals for this

problem #2

1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-80% 3 3 2 Let fix)-. Let R be the region in the first quadrant bounded by the gruph of y - f(x) and the vertical line x # l, as shown in the figure above. (a) Write but do not evaluate an integral expression that ca solid when R is rotated about the horizontal line y- -1. (2pts) (b) Write but do not evaluate an integral expression that can be used to find the volume of the solid when R is rotated about the horizontal line y 0. (2pts) (c) Find the area of R. Show all work for full credit. (3pts) (d) The region R is the base of a solid. For this solid, each cross section perpendicular to the x- axis is an equilateral triangle. Write but do not evaluate an integral expression to find the volume of this solid. (2pts) (e) Consider the region S bounded by f(x), the y-axis, and y se'. Write but do not evaluate an integral expression that can be used to find the volume that forms when 5 is rotated about the y-axis. (2pts)

Answer 1

-거 OCA μ 0 2