1 / 8

Maria Isabel Cepeda

Maria Isabel Cepeda. The true measure of an individual is how he treats a person who can do him absolutely no good. —Ann Landers (Respect). [ ( x + 3)^2 – 1] dx. LRAM 2 SUBINTERVALS . Sub intervals from -4 to -3 and -3 to -4 Left part of rectangle is f(-4) and f(-3)

ranee
Télécharger la présentation

Maria Isabel Cepeda

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Maria Isabel Cepeda The true measure of an individual is how he treats a person who can do him absolutely no good. —Ann Landers (Respect)

  2. [(x + 3)^2 – 1] dx

  3. LRAM 2 SUBINTERVALS • Sub intervals from -4 to -3 and -3 to -4 • Left part of rectangle isf(-4) and f(-3) • Distance of subintervals is 1: • 1[f(-4) + f(-3)] • 1(0 + – 1) • LRAM: -1u^2

  4. RRAM 2 SUBINTERVALS • Subintervals same as before • Right part of rectangles: f(-3) and f(-2) • Distance still 1 • 1[f(-3) + f(-2)] • 1(-1 + 0) • RRAM: -1u^2

  5. MRAM 2 SUBINTERVALS • Same subintervals • Use midpoints of subintervals • Use f(-3.5) and f(-2.5) • Distance of rectangles still 1 • 1[f(-3.5) + f(-2.5)] • 1(-0.75 + -0.75) • MRAM: -1.5u^2

  6. LRAM 4 SUBINTERVALS • Subintervals from -4 to -3.5, -3.5 to -3, -3 to -2.5, and -2.5 to -2 • Left part of rectangles: f(-4), f(-3.5), f(-3) and f(-2.5) • Distance: 0.5 • 0.5[f(-4) + f(-3.5) + f(-3) + f(-2.5)] • 0.5(0 + -0.75 +-1 + -0.75) • LRAM: 0.5(-2.5) = -1.25U^2

  7. RRAM 4 SUBINTERVALS • Subintervals from -4 to -3.5, -3.5 to -3, -3 to -2.5, and -2.5 to -2 • Right part of rectangles: f(-3.5), f(-3),f(-2.5), and f(-2) • Distance: 0.5 • 0.5[f(-3.5) + f(-3) + f(-2.5) + f(-2)] • 0.5(-0.75 +-1 + -0.75 + 0) • RRAM: 0.5(-2.5) = -1.25U^2

  8. MRAM 4 SUBINTERVALS • Subintervals from -4 to -3.5, -3.5 to -3, -3 to -2.5, and -2.5 to -2 • Middle part of rectangles: f(-3.75), f(-3.25), f(-2.75) and f(-2.25) • Distance: 0.5 • 0.5[f(-3.75) + f(-3.25) + f(-2.75) + f(-2.25)] • 0.5(-0.44 + -0.94 +-0.94 + -0.44) • MRAM: 0.5(-2.76) = -1.38U^2

More Related