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8.1 B - Integral as net change

8.1 B - Integral as net change. How to find position using the calculator . https:// www.youtube.com/watch?v=Ie7ivPEAZXM. “Consumption” Example. The rate of potato consumption for a particular country was:.

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8.1 B - Integral as net change

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  1. 8.1 B - Integral as net change

  2. How to find position using the calculator • https://www.youtube.com/watch?v=Ie7ivPEAZXM

  3. “Consumption” Example The rate of potato consumption for a particular country was: where t is the number of years since 1970 and C is in millions of bushels per year. National Potato Consumption

  4. million bushels How many potatoes were consumed from the beginning of 1972 to the end of 1973?

  5. Work is the force acting on an object, and the displacement it causes. Calculating the work is easy when the force and distance are constant. When the amount of force varies, we get to use calculus!

  6. Work on a spring x = distance that the spring is extended beyond its natural length k = spring constant Hooke’s law for springs:

  7. Example: F=10 N x=2 M It takes 10 Newtons to stretch a spring 2 meters beyond its natural length. How much work is done stretching the spring to 4 meters beyond its natural length?

  8. Continued F(x) x=4 M newton-meters joules For a very small change in x, the force is constant.

  9. Homework  • 8.1 B

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