{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

SalasSV_10_07_ex

42 sketch the graphs of y sec x and y tan x for 0 x

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: at if the region below the graph of f (x) = 1/x, x ≥ 1, is revolved about the x-axis, then the surface area of the resulting solid is inﬁnite (see Example 3). 42. Sketch the graphs of y = sec x and y = tan x for 0 ≤ x < π/2. Calculate the area of the region between the two curves. 43. Let be the region bounded by the coordinate axes, the √ graph of y = 1/ x, and the line x = 1. (a) Sketch . (b) Show that has ﬁnite area and ﬁnd it. (c) Show that if is revolved about the x-axis, the solid obtained does not have ﬁnite volume. 44. Let be the region between the graph of y = 1/(1 + x2 ) and the x-axis, x ≥ 0. (a) Sketch . (b) Find the area of . (c) Find the volume of the solid obtained by revolving about the x-axis. (d) Find the volume of the solid obtained by revolving about the y-axis. 45. Let be the region bounded by the curve y = e−x an...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online