Use rectangles to estimate the area under the parabola y = 2x2 from 0 to 1 (the parabolic region S illustrated to the left). SOLUTION We first notice that the area must be somewhere between 0 and 2 because S is contained in a rectangle of side lengths 1 and 2, but we can certainly do better than that. Suppose we divide the region into four strips by drawing vertical lines x = 1 4 , x = 1 2

Which of the following statements about revision is most accurate? (a) you must compose first drafts quickly (sprint writing) and return later for editing. (b) careful writers always revise as they write. (c) revision is required for only long and complex business documents. (d) some business writers prefer to compose first drafts quickly and revise later; others prefer to revise as they go.