1 / 9

Understanding Motion and Volume: A Quick Review of Calculus Concepts

This chapter provides a comprehensive review of key calculus concepts related to motion and volume. It explores the determination of a particle's position given its velocity over time, analyzing when the particle is moving left, right, or stopped. The chapter also covers methods for calculating displacement and total distance traveled. Additionally, it delves into finding areas bounded by curves and volumes of solids with specific cross-sectional shapes, enriching your understanding of integral applications such as net change and the Trapezoidal Rule.

quana
Télécharger la présentation

Understanding Motion and Volume: A Quick Review of Calculus Concepts

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. Chapter 7 Quick Review

  2. Find the area of the region bounded by

  3. Find the area of the region bounded by

  4. v (m/sec) 4 t (sec) 5 10 The velocity of a particle moving along the x-axis is given. The particle starts at x=2 when t=0. -4 What is the position at the end of the trip?

  5. v(t) is the velocity of a particle in m/sec along the x-axis. Determine when the particle is moving to the right, to the left and stopped. Find the particle’s displacement for the given time interval. Find the total distance traveled by the particle.

  6. The base of a solid is the region bounded by The cross section perpendicular to the x-axis is an isosceles right triangle with one leg in the base. Find the volume of the solid.

  7. The region bounded by the curves is revolved around the line What is the volume?

  8. Topics covered: 7.1 Integral as net change including Trapezoidal Rule 7.2 Area between curves 7.3 Volume 7.4 Length of a curve

  9. Homework Study all hmwk

More Related