1 / 8

8.2 Volume and Average Value

8.2 Volume and Average Value. DEFINITION: Let f be a continuous function over a closed interval [a, b]. Its average value , y av , over [a, b] is given by. Example: Find the average value Of f(x) = x 2 over the interval [0, 2].

hollie
Download Presentation

8.2 Volume and Average Value

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. 8.2 Volume and Average Value

  2. DEFINITION: Let f be a continuous function over a closed interval [a, b]. Its average value, yav, over [a, b] is given by

  3. Example: Find the average value Of f(x) = x2 over the interval [0, 2].

  4. Example: Find the average value of f(x) = x2 over the interval [0, 2].

  5. Find the average value of the function over the given interval:

  6. A group of marine biologists estimates that if certain conservation measures are implemented, the population of an endangered species of whale will bewhere N(t) denotes the pop at the end of year t. Find the average pop of the whales over the next 10 years.

  7. The sales of the USI company in the first t years of its operation are approximated bywhere S(t) is measured in millions of dollars. What were the average sales over the first 5 years?

  8. The cost function for a certain product is (a) Find the average cost per unit for 500 units. (b) Find the average value of the cost function over the interval [0, 500 ]. (c) Explain the difference in (a) & (b).

More Related