1 / 12

An Application of the fundamental theorem of calculus: Rate graphs

An Application of the fundamental theorem of calculus: Rate graphs. Section 4-L. The graph of a function f consists of a quarter circle and line segments. Let g be the function given by. a) Find. Graph of f. Find all values of x on the open interval

charles-salas
Télécharger la présentation

An Application of the fundamental theorem of calculus: Rate graphs

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. An Application of the fundamental theorem of calculus: Rate graphs Section 4-L

  2. The graph of a function f consists of a • quarter circle and line segments. • Let g be the function given by . a) Find Graph of f

  3. Find all values of x on the open interval at which g has a relative maximum . Find the absolute minimum value of g on And the value of x at which it occurs Graph of f

  4. d) Find the x-coordinate of each point of inflection of the graph of g on . Graph of f

  5. 2)

  6. 3) The graph of the velocity , in ft/sec, of a car traveling on a straight road, for is shown in the figure. a) Find the average acceleration of the car, over the interval

  7. b) Find an approximation for the acceleration of the car at t = 20.

  8. Approximate with a Riemann sum, using the midpoints of three subintervals of equal length. Explain the meaning of this integral.

  9. (modification of 2006 BC 4) Rocket A has positive velocity v(t) after being launched upward from an initial height of 0 feet at time t = 0 seconds. The velocity of the rocket is recorded for selected values of t over the interval seconds as shown in the table below

  10. (modification of 2006 BC) a) Explain the meaning of in terms of the rocket’s flight. Use a midpoint Riemann sum with 3 subintervals of equal length to approximate

  11. (modification of 2006 BC) • Rocket B is launched upward with an acceleration of feet per second per second. At time t=0 seconds, the initial height of the rocket is 0 feet, and the initial velocity is 2 feet per second. Which of the two rockets is traveling faster at t = 80 seconds?

  12. Home Work Worksheet 4-L and FRQ 4

More Related